Eigenvalue and Singular Value Inequalities via Extreme Principles, Fuzhen Zhang
Mathematics Colloquium Series

Angles, Triangle Inequalities, Correlation Matrices and Metric-Preserving and Subadditive Functions, Diego Castano, Vehbi Emrah Paksoy, Fuzhen Zhang
Diego Castano

Inequalities of Generalized Matrix Functions via Tensor Products, Vehbi Emrah Paksoy, Ramazan Turkmen, Fuzhen Zhang
Fuzhen Zhang

Problems in Linear Algebra and Matrix Theory, Fuzhen Zhang
Mathematics Faculty Books and Book Chapters

Some matrix inequalities of log-majorization type, Bo-Yan Xi, Fuzhen Zhang
Fuzhen Zhang

Eigenvalue continuity and Gersgorin's theorem, Chi-Kwong Li, Fuzhen Zhang
Fuzhen Zhang

Some matrix inequalities of log-majorization type, Bo-Yan Xi, Fuzhen Zhang
Mathematics Faculty Articles

Quaternions and Matrices of Quaternions, Fuzhen Zhang
Mathematics Colloquium Series

Enumerating Extreme Points of the Polytopes of Stochastic Tensors: An Optimization Approach, Fuzhen Zhang, Xiao-Dong Zhang
Fuzhen Zhang

Enumerating Extreme Points of the Polytopes of Stochastic Tensors: An Optimization Approach, Fuzhen Zhang, Xiao-Dong Zhang
Mathematics Faculty Articles

Harnack Type Inequalities for Matrices in Majorization, Chaojun Yang, Fuzhen Zhang
Mathematics Faculty Articles

Eigenvalue continuity and Gersgorin's theorem, Chi-Kwong Li, Fuzhen Zhang
Mathematics Faculty Articles

Harnack Type Inequalities for Matrices in Majorization, Chaojun Yang, Fuzhen Zhang
Fuzhen Zhang

Inequalities for Selected Eigenvalues of the Product of Matrices, Bo-Yan Xi, Fuzhen Zhang
Fuzhen Zhang

Eigenvalue inequalities of matrix product, Fuzhen Zhang
Fuzhen Zhang

Inequalities for Selected Eigenvalues of the Product of Matrices, Bo-Yan Xi, Fuzhen Zhang
Mathematics Faculty Articles

Eigenvalue inequalities of matrix product, Fuzhen Zhang
Mathematics Colloquium Series

The Permanent Functions of Tensors, Qing-Wen Wang, Fuzhen Zhang
Fuzhen Zhang

The Permanent Functions of Tensors, Qing-Wen Wang, Fuzhen Zhang
Mathematics Faculty Articles

Interpretation of Generalized Matrix Functions via Geometric Measure of Quantum Entanglement, Haixia Chang, Vehbi Emrah Paksoy, Fuzhen Zhang
Vehbi Paksoy

Polytopes of Stochastic Tensors, Haixia Chang, Vehbi Emrah Paksoy, Fuzhen Zhang
Vehbi Paksoy

An Inequality for Tensor Product of Positive Operators and Its Applications, Haixia Chang, Vehbi Emrah Paksoy, Fuzhen Zhang
Vehbi Paksoy

Generalized Matrix Functions and Geometric Measure of Entanglement, Vehbi Emrah Paksoy, Fuzhen Zhang, Haixia Chang
Vehbi Paksoy

An Update on a Few Permanent Conjectures, Fuzhen Zhang
Fuzhen Zhang

An Inequality for Tensor Product of Positive Operators and Its Applications, Haixia Chang, Vehbi Emrah Paksoy, Fuzhen Zhang
Fuzhen Zhang

Interpretation of Generalized Matrix Functions via Geometric Measure of Quantum Entanglement, Haixia Chang, Vehbi Emrah Paksoy, Fuzhen Zhang
Fuzhen Zhang

Polytopes of Stochastic Tensors, Haixia Chang, Vehbi Emrah Paksoy, Fuzhen Zhang
Fuzhen Zhang

Generalized Matrix Functions and Geometric Measure of Entanglement, Vehbi Emrah Paksoy, Fuzhen Zhang, Haixia Chang
Fuzhen Zhang

Polytopes and Matrix Equations, Fuzhen Zhang
Fuzhen Zhang

An Extension of Harnack Type Determinantal Inequality, Minghua Lin, Fuzhen Zhang
Fuzhen Zhang

On the Number of Vertices of the Stochastic Tensor Polytope, Zhongshan Li, Fuzhen Zhang, Xiao-Dong Zhang
Fuzhen Zhang

Tensors and Some Combinatorial Properties of Tensors, Fuzhen Zhang
Fuzhen Zhang

Angles, Triangle Inequalities, Correlation Matrices and Metric-Preserving and Subadditive Functions, David Charles Castano, Vehbi Emrah Paksoy, Fuzhen Zhang
Vehbi Paksoy

Angles, Triangle Inequalities, Correlation Matrices and Metric-Preserving and Subadditive Functions, David Charles Castano, Vehbi Emrah Paksoy, Fuzhen Zhang
Fuzhen Zhang

An Extension of Harnack Type Determinantal Inequality, Minghua Lin, Fuzhen Zhang
Mathematics Faculty Articles

On the Number of Vertices of the Stochastic Tensor Polytope, Zhongshan Li, Fuzhen Zhang, Xiao-Dong Zhang
Mathematics Faculty Articles

Tensors and Some Combinatorial Properties of Tensors, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Polytopes and Matrix Equations, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

An Update on a Few Permanent Conjectures, Fuzhen Zhang
Mathematics Faculty Articles

Polytopes of Stochastic Tensors, Haixia Chang, Vehbi Emrah Paksoy, Fuzhen Zhang
Mathematics Faculty Articles

Angles, Triangle Inequalities, Correlation Matrices and Metric-Preserving and Subadditive Functions, Diego Castano, Vehbi Emrah Paksoy, Fuzhen Zhang
Vehbi Paksoy

Inequalities of Generalized Matrix Functions via Tensor Products, Vehbi Emrah Paksoy, Ramazan Turkmen, Fuzhen Zhang
Vehbi Paksoy

Some Inequalities of Majorization Type, Ramazan Turkman, Vehbi Emrah Paksoy, Fuzhen Zhang
Vehbi Paksoy

An Inequality for Tensor Product of Positive Operators and Its Applications, Fuzhen Zhang
Fuzhen Zhang

Angles Between Vectors and Beyond, Fuzhen Zhang
Fuzhen Zhang

An Analytic Approach To a Permanent Conjecture, Fuzhen Zhang
Fuzhen Zhang

A Generalization of the Complex Autonne-Takagi Factorization To Quaternion Matrices, Roger A. Horn, Fuzhen Zhang
Fuzhen Zhang

Absolute Value of Matrices and Operators, Fuzhen Zhang
Fuzhen Zhang

A Matrix Decomposition and its Applications, Fuzhen Zhang
Fuzhen Zhang

An Operator Inequality and Matrix Normality, Fuzhen Zhang
Fuzhen Zhang

An Analogue of Hua's Determinantal Inequality, Bo-Ying Wang, Fuzhen Zhang
Fuzhen Zhang

A Matrix Inequality and a Rank Identity, Fuzhen Zhang
Fuzhen Zhang

An Operator Inequality and Matrix Normality, Charles R. Johnson, Fuzhen Zhang
Fuzhen Zhang

An Operator Inequality, Fuzhen Zhang
Fuzhen Zhang

A Matrix Inequality and Its Beautiful Proof, Fuzhen Zhang
Fuzhen Zhang

A Matrix Decomposition and its Applications, Fuzhen Zhang
Fuzhen Zhang

Research Problem: A Majorization Conjecture for Hadamard Products and Compound Matrices, Fuzhen Zhang
Fuzhen Zhang

Chaos Analysis and Control for a Class of SIR Epidemic Model with Seasonal Fluctuation, Yi Zhang, Qingling L. Zhang, Fuzhen Zhang, Fenglan Bai
Fuzhen Zhang

Colorful Quaternions, Fuzhen Zhang
Fuzhen Zhang

Angles, Triangle Inequalities, Correlation Matrices and Metric-Preserving and Subadditive Functions, Diego Castano, Vehbi Emrah Paksoy, Fuzhen Zhang
Fuzhen Zhang

An Operator Equality Involving a Continuous Field of Operators and Its Norm Inequalities, Mohammad Sal Moslehian, Fuzhen Zhang
Fuzhen Zhang

Bounds on the spectral radius of a Hadamard product of nonnegative or positive semidefininte matrices, Fuzhen Zhang, Roger A. Horn
Fuzhen Zhang

Block Matrix Techniques, Fuzhen Zhang
Fuzhen Zhang

Another Trace Inequality for Unitary Matrices, Fuzhen Zhang, Bo-Ying Wang
Fuzhen Zhang

Contraction Matrices as the Convex Combinations of Unitary Matrices, Fuzhen Zhang
Fuzhen Zhang

Colorful Quaternions, Fuzhen Zhang
Fuzhen Zhang

Another Proof of a Singular Value Inequality Concerning Hadamard Products of Matrices, Fuzhen Zhang
Fuzhen Zhang

Colorful Quaternions, Fuzhen Zhang
Fuzhen Zhang

Disc Separation of the Schur Complement of Diagonally Dominant Matrices and Determinantal Bounds, Jianzhou Liu, Fuzhen Zhang
Fuzhen Zhang

Gersgorin Type Theorems for Quaternionic Matrices, Fuzhen Zhang
Fuzhen Zhang

Generalized Matrix Functions, Fuzhen Zhang
Fuzhen Zhang

Generalized and Joint Spectral Radii, Fuzhen Zhang
Fuzhen Zhang

Eigenvalue Inequalities for Matrix Product, Fuzhen Zhang, Qingling Zhang
Fuzhen Zhang

Homotopy and Linear Algebra, Fuzhen Zhang
Fuzhen Zhang

Criteria and Schur Complements of H-matrices, Jianzhou Liu, Fuzhen Zhang
Fuzhen Zhang

Disc Separation of the Schur Complement, Fuzhen Zhang
Fuzhen Zhang

Equivalence of the Wielandt Inequality and the Kantorovich Inequality, Fuzhen Zhang
Fuzhen Zhang

Gems in Linear Algebra, Fuzhen Zhang
Fuzhen Zhang

Hua matrices, Fuzhen Zhang
Fuzhen Zhang

Generalized Matrix Functions, Fuzhen Zhang
Fuzhen Zhang

Distance Matrices, Fuzhen Zhang
Fuzhen Zhang

Equivalence of a Matrix Product to the Kronecker Product, Yimin Wei, Fuzhen Zhang
Fuzhen Zhang

Contractive Matrices of Hua Type, Guanghui Xu, Changqing Xu, Fuzhen Zhang
Fuzhen Zhang

Hua's Inequality: New proofs, Generalizations, and Analogs, Fuzhen Zhang
Fuzhen Zhang

Everything about Matrices of Quaternions, Fuzhen Zhang
Fuzhen Zhang

Hua's Matrix Equality and Schur Complements, Chris Paige, George P. H. Styan, Bo-Ying Wang, Fuzhen Zhang
Fuzhen Zhang

Linear Algebra: Challenging Problems for Students, Fuzhen Zhang
Fuzhen Zhang

Integral Majorization, Fuzhen Zhang
Fuzhen Zhang

Integral Majorization Polytopes, Fuzhen Zhang, Geir Dahl
Fuzhen Zhang

Integral Majorization and Young Diagram, Fuzhen Zhang
Fuzhen Zhang

Left Eigenvalue Problems of Quaternionic Matrices, Fuzhen Zhang
Fuzhen Zhang

Ky Fan's Life as a Mathematician, Fuzhen Zhang
Fuzhen Zhang

Jordan Canonical Form of a Partitioned Complex Matrix and Its Applications to Real Quaternion Matrices, Fuzhen Zhang, Yimin Wei
Fuzhen Zhang

Inequalities: Theory of Majorization and Its Applications (Springer Series in Statistics) by Albert W. Marshall, Ingram Olkin and Barry C. Arnold, 2nd edition, Springer (2011) xxvii+909 pp, Hardback, ISBN 978-0-387-40087-7; e-ISBN 978-0-387-68276-1, Fuzhen Zhang
Fuzhen Zhang

Lectured on majorization and convex sets, Fuzhen Zhang
Fuzhen Zhang

Jordan Canonical Forms of Quaternion Matrices, Fuzhen Zhang
Fuzhen Zhang

Linear Algebra Research Problems, Fuzhen Zhang
Fuzhen Zhang

Hua's Inequality: New proofs, Generalizations, and Analogs, Fuzhen Zhang
Fuzhen Zhang

Ky Fan: Beautiful Results and Beautiful Life, Fuzhen Zhang
Fuzhen Zhang

Hua's matrix equality and Schur complement, Fuzhen Zhang
Fuzhen Zhang

Linear Algebra: Challenging Problems for Students, Fuzhen Zhang
Fuzhen Zhang

Matrix Decompositions and Angles Between Vectors and Spaces, Fuzhen Zhang
Fuzhen Zhang

Matrix Decompositions and Angles Between Vectors and Spaces, Fuzhen Zhang
Fuzhen Zhang

A Matrix Identity on the Schur Complement, Fuzhen Zhang
Fuzhen Zhang

Matrix Decompositions and Angles Between Vectors and Spaces, Fuzhen Zhang
Fuzhen Zhang

Matrix Inequalities, Fuzhen Zhang
Fuzhen Zhang

Matrix Inequalities, Fuzhen Zhang
Fuzhen Zhang

Matrix Equalities and Inequalities of Hua Type, Fuzhen Zhang
Fuzhen Zhang

Matrix Eigenvalue Inequalities, Fuzhen Zhang
Fuzhen Zhang

Matrix Decompositions and Angles Between Vectors and Spaces, Fuzhen Zhang
Fuzhen Zhang

Matrix Decomposition, Fuzhen Zhang
Fuzhen Zhang

Majorization Inequalities, Fuzhen Zhang
Fuzhen Zhang

Matrix Inequalities by Means of Block Matrices, Fuzhen Zhang
Fuzhen Zhang

Matrix Decompositions and Angles Between Vectors and Spaces, Fuzhen Zhang
Fuzhen Zhang

Matrix Decompositions and Angles Between Vectors and Spaces, Fuzhen Zhang
Fuzhen Zhang

Matrix Theory and Wireless Communication, Fuzhen Zhang
Fuzhen Zhang

Matrix Inequalities on Schur Complements, Fuzhen Zhang
Fuzhen Zhang

Matrix Inequalities by Means of Embedding, Tian-Gang Lei, Ching-Wah Woo, Fuzhen Zhang
Fuzhen Zhang

Matrix Inequalities by Embedding, Fuzhen Zhang
Fuzhen Zhang

Matrix Theory: Basic Results and Techniques, Fuzhen Zhang
Fuzhen Zhang

Matrix Inequalities, Fuzhen Zhang
Fuzhen Zhang

New Developments of Hua Matrix Inequalities, Fuzhen Zhang
Fuzhen Zhang

Matrix Theory: Basic Results and Techniques, Fuzhen Zhang
Fuzhen Zhang

New Developments of Hua Matrix Inequalities, Fuzhen Zhang
Fuzhen Zhang

Maximizing Matrices, Fuzhen Zhang
Fuzhen Zhang

New Results and Problems on Hua Matrices, Fuzhen Zhang
Fuzhen Zhang

Notes on Hadamard Products of Matrices, Fuzhen Zhang
Fuzhen Zhang

Normal Matrices of Zero and One Entries, Fuzhen Zhang
Fuzhen Zhang

Norm Hull of Vectors and Matrices, Chi-Kwong Li, Nam-Kiu Tsing, Fuzhen Zhang
Fuzhen Zhang

On Eigenvalue and Singular Value Inequalities for Matrix Product, Bo-Ying Wang, Fuzhen Zhang
Fuzhen Zhang

On Zero-One Symmetric and Normal Matrices, Bo-Ying Wang, Fuzhen Zhang
Fuzhen Zhang

On Normal Matrices of Zeros and Ones with Fixed Row Sum, Bo-Ying Wang, Fuzhen Zhang
Fuzhen Zhang

Numerical Range of Quaternion Matrices: A survey, Fuzhen Zhang
Fuzhen Zhang

On Numerical Range of Normal Matrices of Quaternions, Fuzhen Zhang
Fuzhen Zhang

On the Precise Number of (0,1)-Matrices in u(R, S), Bo-Ying Wang, Fuzhen Zhang
Fuzhen Zhang

Open Problems on Hua Matrices, Fuzhen Zhang
Fuzhen Zhang

Open Problems on Hua Matrices, Fuzhen Zhang
Fuzhen Zhang

On a Theorem in Ring Theory, Fuzhen Zhang
Fuzhen Zhang

On the Best Euclidean Fit to a Distance Matrix, Fuzhen Zhang
Fuzhen Zhang

On the Unitary Diagonalisation of a Special Class of Quaternion Matrices, Clive Cheong Took, Danilo P. Mandic, Fuzhen Zhang
Fuzhen Zhang

On the Schur Complement of Diagonally Dominant Matrices, Fuzhen Zhang
Fuzhen Zhang

Permanent Inequalities, Fuzhen Zhang
Fuzhen Zhang

Open Problems on Hua Matrices, Fuzhen Zhang
Fuzhen Zhang

On the Bohr Inequality of Operators, Fuzhen Zhang
Fuzhen Zhang

On the Eigenvalues of Quaternion Matrices, F. O. Farid, Qing-Wen Wang, Fuzhen Zhang
Fuzhen Zhang

On the Hadamard Product of Inverse M-matrices, Bo-Ying Wang, Xiuping Zhang, Fuzhen Zhang
Fuzhen Zhang

Quaternions and Matrices of Quaternions, Fuzhen Zhang
Fuzhen Zhang

Open Problems on Hua Matrices, Fuzhen Zhang
Fuzhen Zhang

Quaternion Matrix Factorization and its Application to Complex Matrices, Fuzhen Zhang
Fuzhen Zhang

Permanents, Hadamard Products and Open Problems, Fuzhen Zhang
Fuzhen Zhang

Quaternion Matrices, Fuzhen Zhang
Fuzhen Zhang

Positivity of Matrices with Generalized Matrix Functions, Fuzhen Zhang
Fuzhen Zhang

Quaternions and Applications, Fuzhen Zhang
Fuzhen Zhang

Positivity of Generalized Matrix Functions, Fuzhen Zhang
Fuzhen Zhang

Robustness Analysis of Descriptor Systems with Parameter Uncertainties, Chunyu Yang, Qingling Zhang, Fuzhen Zhang, Zheng Zhou
Fuzhen Zhang

Relative Perturbation Bounds for the Eigenvalues of Diagonalizable and Singular Matrices - Application of Perturbation Theory for Simple Invariant Subspaces, Yimin Wei, Xiezhang Li, Fanbin Bu, Fuzhen Zhang
Fuzhen Zhang

Recent Development in the Research of Quaternion Matrices, Fuzhen Zhang
Fuzhen Zhang

Revisiting a Permanent Conjecture on Positive Semidefinite Matrices, Fuzhen Zhang
Fuzhen Zhang

Research on Quaternionic Matrices: A survey, Fuzhen Zhang
Fuzhen Zhang

Revisiting Hua-Marcus-Bellman-Ando Inequalities on Contractive Matrices, Changqing Xu, Zhaodi Xu, Fuzhen Zhang
Fuzhen Zhang

Schur Complements and Applications, Fuzhen Zhang
Fuzhen Zhang

Schur Complements and Matrix Inequalities in Lowner Ordering, Fuzhen Zhang
Fuzhen Zhang

Schur Complements, Fuzhen Zhang
Fuzhen Zhang

Sign Patterns of Nonnegative Normal Matrices, Zhongshan Li, Frank Hall, Fuzhen Zhang
Fuzhen Zhang

Schur Complements and Computation, Fuzhen Zhang
Fuzhen Zhang

Some Identities of Permanents, Fuzhen Zhang
Fuzhen Zhang

Schur Complements and Matrix Inequalities of Hadamard Products, Bo-Ying Wang, Fuzhen Zhang
Fuzhen Zhang

Solution to a Conjecture of Marcus, Kidman, and Sandy, Fuzhen Zhang
Fuzhen Zhang

Some Notes on The inequality of Hermitian Square Matrices, Fuzhen Zhang
Fuzhen Zhang

Some Inequalities of Majorization Type, Ramazan Turkman, Vehbi Emrah Paksoy, Fuzhen Zhang
Fuzhen Zhang

Tensor Product, Fuzhen Zhang
Fuzhen Zhang

Some Inequalities for the Eigenvalues of the Product of Positive Semi-definite Hermitian Matrices, Fuzhen Zhang, Bo-Ying Wang
Fuzhen Zhang

Teaching Linear Algebra as a Tutorial, Fuzhen Zhang
Fuzhen Zhang

Takagi factorization for quaternion matrices, Fuzhen Zhang
Fuzhen Zhang

The Numerical Range of Normal Matrices with Quaternion Entries, Wasin So, Robert C. Thompson, Fuzhen Zhang
Fuzhen Zhang

Some Matrix and Operator Inequalities Involving |A|, Fuzhen Zhang
Fuzhen Zhang

The Generalized Numerical Range with Completely Symmetric Function, Fuzhen Zhang, Tian-Gang Lei
Fuzhen Zhang

The Quaternion Matrices, Fuzhen Zhang
Fuzhen Zhang

Sums and Products of Positive Things Are Positive, Fuzhen Zhang
Fuzhen Zhang

Some Inequalities for Sum and Product of Positive Semidefinite Matrices, Bo-Ying Wang, Bo-Yan Xi, Fuzhen Zhang
Fuzhen Zhang

Trace and Eigenvalue Inequalities of Ordinary and Hadamard Products for Positive Semidefinite Hermitian Matrices, Bo-Ying Wang, Fuzhen Zhang
Fuzhen Zhang

The Schur Complement, Fuzhen Zhang
Fuzhen Zhang

The Schur Complement, Fuzhen Zhang
Fuzhen Zhang

The Schur Complements of Generalized Doubly Diagonally Dominant Matrices, Jianzhou Liu, Yunqing Huang, Fuzhen Zhang
Fuzhen Zhang

The Schur Complement: A survey, Fuzhen Zhang
Fuzhen Zhang

The Schur Complements and Partitioned Matrices, Fuzhen Zhang
Fuzhen Zhang

The Schur Complement and Its Applications, Fuzhen Zhang
Fuzhen Zhang

Trace and Eigenvalue Inequalities, Fuzhen Zhang
Fuzhen Zhang

The Quaternion Matrices, Fuzhen Zhang
Fuzhen Zhang

Tournament Matrices, Fuzhen Zhang
Fuzhen Zhang

Two New Proofs for Hua's Matrix Inequality, Fuzhen Zhang
Fuzhen Zhang

Why Left and Right Spectral Radii Are Different, Fuzhen Zhang
Fuzhen Zhang

Words and Normality of Matrices, Bo-Ying Wang, Fuzhen Zhang
Fuzhen Zhang

Words and Matrix Normality, Fuzhen Zhang
Fuzhen Zhang

Angles, Triangle Inequalities, Correlation Matrices and Metric-Preserving and Subadditive Functions, Diego Castano, Vehbi Emrah Paksoy, Fuzhen Zhang
Diego Castano

Generalized Matrix Functions and Geometric Measure of Entanglement, Vehbi Emrah Paksoy, Fuzhen Zhang, Haixia Chang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

An Inequality for Tensor Product of Positive Operators and Its Applications, Haixia Chang, Vehbi Emrah Paksoy, Fuzhen Zhang
Mathematics Faculty Articles

Angles, Triangle Inequalities, Correlation Matrices and Metric-Preserving and Subadditive Functions, Diego Castano, Vehbi Emrah Paksoy, Fuzhen Zhang
Chemistry and Physics Faculty Articles

Angles, Triangle Inequalities, Correlation Matrices and Metric-Preserving and Subadditive Functions, Diego Castano, Vehbi Emrah Paksoy, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Interpretation of Generalized Matrix Functions via Geometric Measure of Quantum Entanglement, Haixia Chang, Vehbi Emrah Paksoy, Fuzhen Zhang
Mathematics Faculty Articles

An Inequality for Tensor Product of Positive Operators and Its Applications, Fuzhen Zhang
Mathematics Colloquium Series

A Matrix Decomposition and its Applications, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Angles Between Vectors and Beyond, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Ky Fan's Life as a Mathematician, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Matrix Decomposition, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Matrix Decompositions and Angles Between Vectors and Spaces, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Matrix Decompositions and Angles Between Vectors and Spaces, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Matrix Decompositions and Angles Between Vectors and Spaces, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Matrix Decompositions and Angles Between Vectors and Spaces, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Matrix Decompositions and Angles Between Vectors and Spaces, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Matrix Decompositions and Angles Between Vectors and Spaces, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Inequalities of Generalized Matrix Functions via Tensor Products, Vehbi Emrah Paksoy, Ramazan Turkmen, Fuzhen Zhang
Mathematics Faculty Articles

A Matrix Decomposition and its Applications, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Integral Majorization Polytopes, Fuzhen Zhang, Geir Dahl
Mathematics Faculty Articles

Integral Majorization, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

The Schur Complements and Partitioned Matrices, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Integral Majorization and Young Diagram, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Tensor Product, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

The Quaternion Matrices, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

The Quaternion Matrices, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Lectured on majorization and convex sets, Fuzhen Zhang
Algebra Seminar

An Analytic Approach To a Permanent Conjecture, Fuzhen Zhang
Mathematics Faculty Articles

Chaos Analysis and Control for a Class of SIR Epidemic Model with Seasonal Fluctuation, Yi Zhang, Qingling L. Zhang, Fuzhen Zhang, Fenglan Bai
Mathematics Faculty Articles

Positivity of Matrices with Generalized Matrix Functions, Fuzhen Zhang
Mathematics Faculty Articles

Some Inequalities of Majorization Type, Ramazan Turkman, Vehbi Emrah Paksoy, Fuzhen Zhang
Mathematics Faculty Articles

The Schur Complement: A survey, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Generalized Matrix Functions, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Schur Complements and Computation, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Majorization Inequalities, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Inequalities: Theory of Majorization and Its Applications (Springer Series in Statistics) by Albert W. Marshall, Ingram Olkin and Barry C. Arnold, 2nd edition, Springer (2011) xxvii+909 pp, Hardback, ISBN 978-0-387-40087-7; e-ISBN 978-0-387-68276-1, Fuzhen Zhang
Mathematics Faculty Articles

The Schur Complement, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

A Generalization of the Complex Autonne-Takagi Factorization To Quaternion Matrices, Roger A. Horn, Fuzhen Zhang
Mathematics Faculty Articles

On the Unitary Diagonalisation of a Special Class of Quaternion Matrices, Clive Cheong Took, Danilo P. Mandic, Fuzhen Zhang
Mathematics Faculty Articles

Positivity of Generalized Matrix Functions, Fuzhen Zhang
Mathematics Colloquium Series

Generalized Matrix Functions, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Quaternion Matrix Factorization and its Application to Complex Matrices, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Takagi factorization for quaternion matrices, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Recent Development in the Research of Quaternion Matrices, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Matrix Theory and Wireless Communication, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Contractive Matrices of Hua Type, Guanghui Xu, Changqing Xu, Fuzhen Zhang
Mathematics Faculty Articles

On the Eigenvalues of Quaternion Matrices, F. O. Farid, Qing-Wen Wang, Fuzhen Zhang
Mathematics Faculty Articles

Matrix Theory: Basic Results and Techniques, Fuzhen Zhang
Mathematics Faculty Books and Book Chapters

Revisiting a Permanent Conjecture on Positive Semidefinite Matrices, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Ky Fan: Beautiful Results and Beautiful Life, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Robustness Analysis of Descriptor Systems with Parameter Uncertainties, Chunyu Yang, Qingling Zhang, Fuzhen Zhang, Zheng Zhou
Mathematics Faculty Articles

Criteria and Schur Complements of H-matrices, Jianzhou Liu, Fuzhen Zhang
Mathematics Faculty Articles

Bounds on the spectral radius of a Hadamard product of nonnegative or positive semidefininte matrices, Fuzhen Zhang, Roger A. Horn
Mathematics Faculty Articles

Colorful Quaternions, Fuzhen Zhang
Mathematics Colloquium Series

Quaternions and Applications, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

New Developments of Hua Matrix Inequalities, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Colorful Quaternions, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Colorful Quaternions, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Revisiting Hua-Marcus-Bellman-Ando Inequalities on Contractive Matrices, Changqing Xu, Zhaodi Xu, Fuzhen Zhang
Mathematics Faculty Articles

Linear Algebra: Challenging Problems for Students, Fuzhen Zhang
Mathematics Faculty Books and Book Chapters

New Results and Problems on Hua Matrices, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

An Operator Equality Involving a Continuous Field of Operators and Its Norm Inequalities, Mohammad Sal Moslehian, Fuzhen Zhang
Mathematics Faculty Articles

Hua matrices, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

New Developments of Hua Matrix Inequalities, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Open Problems on Hua Matrices, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Open Problems on Hua Matrices, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Open Problems on Hua Matrices, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Open Problems on Hua Matrices, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Hua's Matrix Equality and Schur Complements, Chris Paige, George P. H. Styan, Bo-Ying Wang, Fuzhen Zhang
Mathematics Faculty Articles

On the Bohr Inequality of Operators, Fuzhen Zhang
Mathematics Faculty Articles

Gersgorin Type Theorems for Quaternionic Matrices, Fuzhen Zhang
Mathematics Faculty Articles

Schur Complements and Applications, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Matrix Equalities and Inequalities of Hua Type, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Two New Proofs for Hua's Matrix Inequality, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Hua's matrix equality and Schur complement, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Relative Perturbation Bounds for the Eigenvalues of Diagonalizable and Singular Matrices - Application of Perturbation Theory for Simple Invariant Subspaces, Yimin Wei, Xiezhang Li, Fanbin Bu, Fuzhen Zhang
Mathematics Faculty Articles

Eigenvalue Inequalities for Matrix Product, Fuzhen Zhang, Qingling Zhang
Mathematics Faculty Articles

Why Left and Right Spectral Radii Are Different, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Some Matrix and Operator Inequalities Involving |A|, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Matrix Eigenvalue Inequalities, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Absolute Value of Matrices and Operators, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Teaching Linear Algebra as a Tutorial, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Disc Separation of the Schur Complement of Diagonally Dominant Matrices and Determinantal Bounds, Jianzhou Liu, Fuzhen Zhang
Mathematics Faculty Articles

Research on Quaternionic Matrices: A survey, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Left Eigenvalue Problems of Quaternionic Matrices, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

The Schur Complement and Its Applications, Fuzhen Zhang
Mathematics Faculty Books and Book Chapters

Disc Separation of the Schur Complement, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Matrix Inequalities by Means of Embedding, Tian-Gang Lei, Ching-Wah Woo, Fuzhen Zhang
Mathematics Faculty Articles

The Schur Complement, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

The Schur Complements of Generalized Doubly Diagonally Dominant Matrices, Jianzhou Liu, Yunqing Huang, Fuzhen Zhang
Mathematics Faculty Articles

A Matrix Identity on the Schur Complement, Fuzhen Zhang
Mathematics Faculty Articles

On the Schur Complement of Diagonally Dominant Matrices, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Block Matrix Techniques, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Matrix Inequalities by Embedding, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Sums and Products of Positive Things Are Positive, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Matrix Inequalities by Means of Block Matrices, Fuzhen Zhang
Mathematics Faculty Articles

Jordan Canonical Form of a Partitioned Complex Matrix and Its Applications to Real Quaternion Matrices, Fuzhen Zhang, Yimin Wei
Mathematics Faculty Articles

Equivalence of the Wielandt Inequality and the Kantorovich Inequality, Fuzhen Zhang
Mathematics Faculty Articles

Schur Complements and Matrix Inequalities in Lowner Ordering, Fuzhen Zhang
Mathematics Faculty Articles

Equivalence of a Matrix Product to the Kronecker Product, Yimin Wei, Fuzhen Zhang
Mathematics Faculty Articles

Matrix Inequalities, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Matrix Inequalities, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Matrix Inequalities, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

On the Hadamard Product of Inverse M-matrices, Bo-Ying Wang, Xiuping Zhang, Fuzhen Zhang
Mathematics Faculty Articles

Quaternion Matrices, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Tournament Matrices, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

A Matrix Inequality and a Rank Identity, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Some Inequalities for Sum and Product of Positive Semidefinite Matrices, Bo-Ying Wang, Bo-Yan Xi, Fuzhen Zhang
Mathematics Faculty Articles

Matrix Theory: Basic Results and Techniques, Fuzhen Zhang
Mathematics Faculty Books and Book Chapters

A Matrix Inequality and Its Beautiful Proof, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

An Analogue of Hua's Determinantal Inequality, Bo-Ying Wang, Fuzhen Zhang
Mathematics Faculty Articles

Numerical Range of Quaternion Matrices: A survey, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Hua's Inequality: New proofs, Generalizations, and Analogs, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Hua's Inequality: New proofs, Generalizations, and Analogs, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

On the Precise Number of (0,1)-Matrices in u(R, S), Bo-Ying Wang, Fuzhen Zhang
Mathematics Faculty Articles

Matrix Inequalities on Schur Complements, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

On a Theorem in Ring Theory, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

On Zero-One Symmetric and Normal Matrices, Bo-Ying Wang, Fuzhen Zhang
Mathematics Faculty Articles

On Normal Matrices of Zeros and Ones with Fixed Row Sum, Bo-Ying Wang, Fuzhen Zhang
Mathematics Faculty Articles

Jordan Canonical Forms of Quaternion Matrices, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Contraction Matrices as the Convex Combinations of Unitary Matrices, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Schur Complements, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Norm Hull of Vectors and Matrices, Chi-Kwong Li, Nam-Kiu Tsing, Fuzhen Zhang
Mathematics Faculty Articles

Sign Patterns of Nonnegative Normal Matrices, Zhongshan Li, Frank Hall, Fuzhen Zhang
Mathematics Faculty Articles

Schur Complements and Matrix Inequalities of Hadamard Products, Bo-Ying Wang, Fuzhen Zhang
Mathematics Faculty Articles

Quaternions and Matrices of Quaternions, Fuzhen Zhang
Mathematics Faculty Articles

The Generalized Numerical Range with Completely Symmetric Function, Fuzhen Zhang, Tian-Gang Lei
Mathematics Faculty Articles

Normal Matrices of Zero and One Entries, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

An Operator Inequality and Matrix Normality, Charles R. Johnson, Fuzhen Zhang
Mathematics Faculty Articles

Linear Algebra: Challenging Problems for Students, Fuzhen Zhang
Mathematics Faculty Books and Book Chapters

Words and Matrix Normality, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Words and Normality of Matrices, Bo-Ying Wang, Fuzhen Zhang
Mathematics Faculty Articles

Trace and Eigenvalue Inequalities of Ordinary and Hadamard Products for Positive Semidefinite Hermitian Matrices, Bo-Ying Wang, Fuzhen Zhang
Mathematics Faculty Articles

On Numerical Range of Normal Matrices of Quaternions, Fuzhen Zhang
Mathematics Faculty Articles

An Operator Inequality and Matrix Normality, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Homotopy and Linear Algebra, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Linear Algebra Research Problems, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

An Operator Inequality, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Another Trace Inequality for Unitary Matrices, Fuzhen Zhang, Bo-Ying Wang
Mathematics Faculty Articles

The Numerical Range of Normal Matrices with Quaternion Entries, Wasin So, Robert C. Thompson, Fuzhen Zhang
Mathematics Faculty Articles

Trace and Eigenvalue Inequalities, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Gems in Linear Algebra, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Everything about Matrices of Quaternions, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Generalized and Joint Spectral Radii, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Permanent Inequalities, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Maximizing Matrices, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Some Inequalities for the Eigenvalues of the Product of Positive Semi-definite Hermitian Matrices, Fuzhen Zhang, Bo-Ying Wang
Mathematics Faculty Articles

Research Problem: A Majorization Conjecture for Hadamard Products and Compound Matrices, Fuzhen Zhang
Mathematics Faculty Articles

Permanents, Hadamard Products and Open Problems, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Some Identities of Permanents, Fuzhen Zhang
Mathematics Faculty Articles

Notes on Hadamard Products of Matrices, Fuzhen Zhang
Mathematics Faculty Articles

Solution to a Conjecture of Marcus, Kidman, and Sandy, Fuzhen Zhang
Mathematics Faculty Articles

Another Proof of a Singular Value Inequality Concerning Hadamard Products of Matrices, Fuzhen Zhang
Mathematics Faculty Articles

Distance Matrices, Fuzhen Zhang
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Some Notes on The inequality of Hermitian Square Matrices, Fuzhen Zhang
Mathematics Faculty Articles

On the Best Euclidean Fit to a Distance Matrix, Fuzhen Zhang
Mathematics Faculty Articles

On Eigenvalue and Singular Value Inequalities for Matrix Product, Bo-Ying Wang, Fuzhen Zhang
Mathematics Faculty Articles