On the public citation graph
Backward perturbation analysis of certain characteristic subspaces
0 signed · 87 inferred · view as graph
Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.
Is this your work? Sign in with ORCID and put your name on the
claims that are yours.
Reference health. See whether every reference in this work resolves to a
known work and none has been retracted — and get a dated CiteStamped
badge you can embed.
What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/978-1-4612-4438-7_1openalex-snapshot
Matrix Perturbation Theory
inferredcites →https://doi.org/10.1007/bf01385798openalex-snapshot
Eigenvalues of Rayleigh quotient matrices
inferredcites →https://doi.org/10.1007/bf01386294openalex-snapshot
Bounds for iterates, inverses, spectral variation and fields of values of non-normal matrices
inferredcites →https://doi.org/10.1007/bf01932678openalex-snapshot
Perturbation bounds in connection with singular value decomposition
inferredcites →https://doi.org/10.1016/0024-3795(79)90094-6openalex-snapshot
Pertubation bounds for the definite generalized eigenvalue problem
inferredcites →https://doi.org/10.1016/0024-3795(82)90119-7openalex-snapshot
A note on Stewart's theorem for definite matrix pairs
inferredcites →https://doi.org/10.1016/0024-3795(82)90120-3openalex-snapshot
Perturbation thèorems for the generalized eigenvalue problem
inferredcites →https://doi.org/10.1016/0024-3795(90)90402-xopenalex-snapshot
Relative eigenvalues of a definite matrix pair
inferredcites →https://doi.org/10.1016/0377-0427(91)90183-kopenalex-snapshot
Symmetric matrix pencils
inferredcites →https://doi.org/10.1016/0378-4754(91)90038-5openalex-snapshot
Matrix perturbation theory
inferredcites →https://doi.org/10.1093/qmath/11.1.50openalex-snapshot
SYMMETRIC GAUGE FUNCTIONS AND UNITARILY INVARIANT NORMS
inferredcites →https://doi.org/10.1137/0610035openalex-snapshot
The Strong Stability of Algorithms for Solving Symmetric Linear Systems
inferredcites →https://doi.org/10.1137/0612016openalex-snapshot
Two Simple Residual Bounds for the Eigenvalues of a Hermitian Matrix
inferredcites →https://doi.org/10.1137/0613013openalex-snapshot
Numerical Considerations in Computing Invariant Subspaces
inferredcites →https://doi.org/10.1137/0707001openalex-snapshot
The Rotation of Eigenvectors by a Perturbation. III
inferredcites →https://doi.org/10.1137/0713067openalex-snapshot
A Stable Generalized Eigenvalue Problem
inferredcites →https://doi.org/10.1137/0719030openalex-snapshot
Residual Bounds on Approximate Eigensystems of Nonnormal Matrices
inferredcites →https://doi.org/10.1137/1.9780898719079openalex-snapshot
Perturbation Bounds for Matrix Eigenvalues
inferredcites →https://doi.org/10.1137/1015095openalex-snapshot
Error and Perturbation Bounds for Subspaces Associated with Certain Eigenvalue Problems
inferredcites →https://doi.org/10.1137/1019005openalex-snapshot
Quasi-Newton Methods, Motivation and Theory
inferredcites →https://doi.org/10.1145/321406.321416openalex-snapshot
On the Compatibility of a Given Solution With the Data of a Linear System
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1002/nla.1914openalex-snapshot
Inverse subspace problems with applications
inferred← citeshttps://doi.org/10.1002/nla.2060openalex-snapshot
Procrustes problems and inverse eigenproblems for multilevel block α‐circulants
inferred← citeshttps://doi.org/10.1002/nla.2324openalex-snapshot
New strategies for determining backward perturbation bound of approximate two‐sided Krylov subspaces
inferred← citeshttps://doi.org/10.1002/nla.2402openalex-snapshot
Characterization of the dissipative mappings and their application to perturbations of dissipative‐Hamiltonian systems
inferred← citeshttps://doi.org/10.1002/nla.616openalex-snapshot
A generalization of the Bott–Duffin inverse and its applications
inferred← citeshttps://doi.org/10.1002/nla.725openalex-snapshot
Condition numbers and backward perturbation bound for linear matrix equations
inferred← citeshttps://doi.org/10.1007/bf01732611openalex-snapshot
A note on backward perturbations for the hermitian eigenvalue problem
inferred← citeshttps://doi.org/10.1007/bf02142813openalex-snapshot
Computing eigenspaces with specified eigenvalues of a regular matrix pair (A, B) and condition estimation: theory, algorithms and software
inferred← citeshttps://doi.org/10.1007/s00211-011-0415-yopenalex-snapshot
Nonnegative inverse eigenvalue problems with partial eigendata
inferred← citeshttps://doi.org/10.1007/s00211-015-0775-9openalex-snapshot
On estimating the separation of two regular matrix pairs
inferred← citeshttps://doi.org/10.1007/s002110050057openalex-snapshot
Backward errors for eigenvalue and singular value decompositions
inferred← citeshttps://doi.org/10.1007/s002110050262openalex-snapshot
Residual bounds of approximate solutions of the algebraic Riccati equation
inferred← citeshttps://doi.org/10.1007/s002110050386openalex-snapshot
A matrix analysis of Arnoldi and Lanczos methods
inferred← citeshttps://doi.org/10.1007/s10092-016-0195-yopenalex-snapshot
On normwise structured backward errors for the generalized saddle point systems
inferred← citeshttps://doi.org/10.1007/s10444-020-09787-xopenalex-snapshot
Structured backward error analysis for generalized saddle point problems
inferred← citeshttps://doi.org/10.1007/s10543-014-0519-8openalex-snapshot
Backward perturbation analysis and residual-based error bounds for the linear response eigenvalue problem
inferred← citeshttps://doi.org/10.1007/s10543-025-01077-6openalex-snapshot
Backward errors for multiple eigenpairs in structured and unstructured nonlinear eigenvalue problems
inferred← citeshttps://doi.org/10.1007/s12190-007-0036-xopenalex-snapshot
The inverse eigenvalue problem of reflexive matrices with a submatrix constraint and its approximation
inferred← citeshttps://doi.org/10.1007/s40314-021-01549-9openalex-snapshot
Alternating projection method for doubly stochastic inverse eigenvalue problems with partial eigendata
inferred← citeshttps://doi.org/10.1007/s40314-023-02587-1openalex-snapshot
Robust partial quadratic pole assignment of asymmetric systems using receptances
inferred← citeshttps://doi.org/10.1016/0024-3795(94)00354-8openalex-snapshot
On the variation of the spectrum of a normal matrix
inferred← citeshttps://doi.org/10.1016/j.amc.2003.10.005openalex-snapshot
On a class of alternating coefficient matrices quadratic eigenvalue problem
inferred← citeshttps://doi.org/10.1016/j.amc.2004.06.020openalex-snapshot
A note on the backward errors for Hermite eigenvalue problems
inferred← citeshttps://doi.org/10.1016/j.amc.2006.06.055openalex-snapshot
A note on the approximation of two-sided Rayleigh quotient to eigenvalues
inferred← citeshttps://doi.org/10.1016/j.amc.2010.12.043openalex-snapshot
Eigenvector-free solutions to AX=B with PX=XP and XH=sX constraints
inferred← citeshttps://doi.org/10.1016/j.amc.2013.03.061openalex-snapshot
On the generalized bi (skew-) symmetric solutions of a linear matrix equation and its procrust problems
inferred← citeshttps://doi.org/10.1016/j.amc.2022.127041openalex-snapshot
A modified orthogonal matching pursuit for construction of sparse probabilistic boolean networks
inferred← citeshttps://doi.org/10.1016/j.cam.2012.09.023openalex-snapshot
On the alternating direction method of multipliers for nonnegative inverse eigenvalue problems with partial eigendata
inferred← citeshttps://doi.org/10.1016/j.cam.2014.01.038openalex-snapshot
The inverse eigenproblem with a submatrix constraint and the associated approximation problem for (R,S) -symmetric matrices
inferred← citeshttps://doi.org/10.1016/j.cam.2015.03.037openalex-snapshot
Semidefinite inverse eigenvalue problems with prescribed entries and partial eigendata
inferred← citeshttps://doi.org/10.1016/j.camwa.2016.03.021openalex-snapshot
The Hermitian {P,k+1} -(anti-)reflexive solutions of a linear matrix equation
inferred← citeshttps://doi.org/10.1016/j.laa.2004.03.035openalex-snapshot
Minimization problems for (R,S)-symmetric and (R,S)-skew symmetric matrices
inferred← citeshttps://doi.org/10.1016/j.laa.2007.03.032openalex-snapshot
Continuity properties of the {1}-inverse and perturbation bounds for the Drazin inverse
inferred← citeshttps://doi.org/10.1016/j.laa.2011.10.012openalex-snapshot
Structured backward errors for generalized saddle point systems
inferred← citeshttps://doi.org/10.1016/j.laa.2013.11.014openalex-snapshot
Structured mapping problems for linearly structured matrices
inferred← citeshttps://doi.org/10.1016/j.laa.2020.02.008openalex-snapshot
Minimal-norm static feedbacks using dissipative Hamiltonian matrices
inferred← citeshttps://doi.org/10.1016/j.laa.2020.05.003openalex-snapshot
On the Kahan-Parlett-Jiang theorem—A globally optimal backward perturbation error for two-sided invariant subspaces
inferred← citeshttps://doi.org/10.1016/j.laa.2021.07.017openalex-snapshot
Preserving spectral properties of structured matrices under structured perturbations
inferred← citeshttps://doi.org/10.1016/j.laa.2022.01.019openalex-snapshot
Eigenvalue embedding problem for quadratic regular matrix polynomials with symmetry structures
inferred← citeshttps://doi.org/10.1016/j.laa.2023.05.019openalex-snapshot
Nearest rank deficient matrix polynomials
inferred← citeshttps://doi.org/10.1016/j.patcog.2014.07.024openalex-snapshot
Inexact and incremental bilinear Lanczos components algorithms for high dimensionality reduction and image reconstruction
inferred← citeshttps://doi.org/10.1016/j.tcs.2004.01.017openalex-snapshot
Inverse eigenproblem for centrosymmetric and centroskew matrices and their approximation
inferred← citeshttps://doi.org/10.1016/j.ymssp.2009.09.014openalex-snapshot
Robust and minimum norm partial quadratic eigenvalue assignment in vibrating systems: A new optimization approach
inferred← citeshttps://doi.org/10.1016/s0024-3795(98)10184-2openalex-snapshot
Structured backward errors for KKT systems
inferred← citeshttps://doi.org/10.1080/03081087.2014.903570openalex-snapshot
Backward errors of periodic invariant subspaces for regular periodic matrix pairs
inferred← citeshttps://doi.org/10.1080/03081087.2016.1189493openalex-snapshot
Total least squares problem with the arbitrary unitarily invariant norms
inferred← citeshttps://doi.org/10.1088/0266-5611/19/5/310openalex-snapshot
The solvability conditions for the inverse eigenvalue problem of Hermitian and generalized skew-Hamiltonian matrices and its approximation
inferred← citeshttps://doi.org/10.1088/0266-5611/29/7/075011openalex-snapshot
Applications of the alternating direction method of multipliers to the semidefinite inverse quadratic eigenvalue problem with a partial eigenstructure
inferred← citeshttps://doi.org/10.1109/csss.2011.5974750openalex-snapshot
The inverse eigenvalue problem of generalized anti-reflexive matrices
inferred← citeshttps://doi.org/10.1109/iccis.2012.332openalex-snapshot
The Inverse Eigenvalue Problem of Generalized Reflexive Matrices
inferred← citeshttps://doi.org/10.1109/icist.2011.5765285openalex-snapshot
Least-square solutions of inverse problems for reflexive matrices
inferred← citeshttps://doi.org/10.1137/060657856openalex-snapshot
Structured Mapping Problems for Matrices Associated with Scalar Products. Part I: Lie and Jordan Algebras
inferred← citeshttps://doi.org/10.1137/130925621openalex-snapshot
Structured Eigenvalue Backward Errors of Matrix Pencils and Polynomials with Hermitian and Related Structures
inferred← citeshttps://doi.org/10.1137/16m1067330openalex-snapshot
Stability Radii for Linear Hamiltonian Systems with Dissipation Under Structure-Preserving Perturbations
inferred← citeshttps://doi.org/10.1137/19m1286505openalex-snapshot
Nearest Matrix Polynomials With a Specified Elementary Divisor
inferred← citeshttps://doi.org/10.1137/s0895479801396725openalex-snapshot
On the Hermitian-Generalized Hamiltonian Solutions of Linear Matrix Equations
inferred← citeshttps://doi.org/10.1137/s089547980139995xopenalex-snapshot
A Chart of Backward Errors for Singly and Doubly Structured Eigenvalue Problems
inferred← citeshttps://doi.org/10.1137/s0895479803434185openalex-snapshot
The Inverse Eigenproblem of Centrosymmetric Matrices with a Submatrix Constraint and Its Approximation
inferred← citeshttps://doi.org/10.1137/s0895479894270014openalex-snapshot
Residual Bounds on Approximate Solutions for the Unitary Eigenproblem
inferred← citeshttps://doi.org/10.13001/1081-3810.1677openalex-snapshot
Sensitivity analysis for the multivariate eigenvalue problem
inferred← citeshttps://doi.org/10.1553/etna_vol52s370openalex-snapshot
Perturbation analysis on matrix pencils for two specified eigenpairs of a semisimple eigenvalue with multiplicity two
inferred← citeshttps://doi.org/10.4208/eajam.100115.170615aopenalex-snapshot
Backward Error Analysis for Eigenproblems Involving Conjugate Symplectic Matrices
inferred← citeshttps://doi.org/10.4208/jcm.v22.n4.p605openalex-snapshot
Structured Backward Errors for Structured KKT Systems
inferred← citeshttps://doi.org/10.48550/arxiv.2009.12094openalex-snapshot
On Pole-Zero Assignment of Vibratory Systems by Multi-Input Feedback Control
Editorial review for independent work. ICSAC — the Institute for Complexity
Science and Advanced Computing — runs a structured editorial panel for researchers
publishing outside journals, and publishes on CiteStamp rails. Submission is free
and goes through ORCID: icsacinstitute.org/submit.