Hongguo Xu

University of Kansas — United States

Computer Science · Physical Sciences

23h-index1.5kcitations77works0.72yr avg
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Research Topics

Matrix Theory and Algorithms(53), Numerical methods for differential equations(28), Stability and Control of Uncertain Systems(10), Advanced Optimization Algorithms Research(9), Advanced Topics in Algebra(9)

Publications77 total

Invariant subspace perturbations related to defective eigenvalues of Δ-Hermitian and Hamiltonian matrices
Linear Algebra and its Applications·2026
Port-Hamiltonian realizations of non-minimal linear time-invariant systems
Mathematics of Control Signals and Systems·2026Open Access
Erratum for “Eigenstructure Perturbations for a Class of Hamiltonian Matrices and Solutions of Related Riccati Inequalities”
SIAM Journal on Matrix Analysis and Applications·2025
Invariant subspace perturbations related to defective eigenvalues of $Δ$-Hermitian and Hamiltonian matrices
arXiv (Cornell University)·2025Open Access
Combined perturbation bounds for eigenstructure of Hermitian matrices and singular structure of general matrices
arXiv (Cornell University)·2025Open Access
Invariant subspace perturbation of a matrix with Jordan blocks
Linear Algebra and its Applications·2025· 1 citedOpen Access
Eigenstructure Perturbations for a Class of Hamiltonian Matrices and Solutions of Related Riccati Inequalities
SIAM Journal on Matrix Analysis and Applications·2024· 4 cited
Eigenstructure perturbations for a class of Hamiltonian matrices and solutions of related Riccati inequalities
arXiv (Cornell University)·2023Open Access
Invariant subspace perturbation of a matrix with Jordan blocks
arXiv (Cornell University)·2023Open Access
QR algorithm with two‐sided Rayleigh quotient shifts
Numerical Linear Algebra with Applications·2023Open Access
QZ algorithm with two‐sided generalized Rayleigh quotient shifts
Numerical Linear Algebra with Applications·2022· 1 cited
Two‐sided Rayleigh quotient iteration for periodic eigenvalue problems
Numerical Linear Algebra with Applications·2022· 1 cited
POISSON-NERNST-PLANCK MODELS FOR THREE ION SPECIES: MONOTONIC PROFILES VS. OSCILLATORY PROFILES
Journal of Applied Analysis & Computation·2022· 5 citedOpen Access
A Core-Chasing Symplectic QR Algorithm
SIAM Journal on Matrix Analysis and Applications·2020
Handling stability analysis of B-double
Journal of ZheJiang University (Engineering Science)·2019
Linear port-Hamiltonian descriptor systems
Mathematics of Control Signals and Systems·2018· 117 citedOpen Access
Noda iterations for generalized eigenproblems following Perron-Frobenius theory
Numerical Algorithms·2018· 4 cited
Weighted Golub-Kahan-Lanczos bidiagonalization algorithms
ETNA - Electronic Transactions on Numerical Analysis·2018· 6 citedOpen Access
Investigation of Coupled Processes and Impact of High Temperature Limits in Argillite Rock: FY17 Progress
eScholarship (California Digital Library)·2017· 3 citedOpen Access
Port-Hamiltonian descriptor systems
arXiv (Cornell University)·2017· 24 citedOpen Access
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Frequent Co-authors

Volker Mehrmann(30), Peter Benner(11), Ralph Byers(10), Christian Mehl(4), Christopher Beattie(3), Weishi Liu(3), Hans Zwart(2), D. Steven Mackey(2), Biao Wu(2), Wen‐Wei Lin(1), Gerhard Freiling(1), Bob Eisenberg(1), Heike Faβbender(1), Niloufer Mackey(1), Linzhang Lu(1), Vanni Noferini(1), Françoise Tisseur(1), Philip Losse(1), Yu-guang Yan(1), Hongfei Liu(1)