SIAM Journal on Matrix Analysis and Applications

Article	Citations
An Analysis of the Rayleigh–Ritz and Refined Rayleigh–Ritz Methods for Regular Nonlinear Eigenvalue Problems	42
Contour Integration for Eigenvector Nonlinearities	35
Generalized Matrix Nearness Problems	26
Arbitrary Precision Algorithms for Computing the Matrix Cosine and its Fréchet Derivative	25
Diagonal Scalings for the Eigenstructure of Arbitrary Pencils	22
Revisiting the Matrix Polynomial Greatest Common Divisor	19
Efficient Vectors for Block Perturbed Consistent Matrices	17
Computing the Riemannian Logarithm on the Stiefel Manifold: Metrics, Methods, and Performance	16
Analysis of the Truncated Conjugate Gradient Method for Linear Matrix Equations	15
Unified SMW-Like Identities of Low-Rank Updates for Generalized Inverses and Pseudoinverses	14
Generalized Perron Roots and Solvability of the Absolute Value Equation	14
Reorthogonalized Pythagorean Variants of Block Classical Gram–Schmidt	13
Nesting Approximate Inverses for Improved Preconditioning and Algebraic Multigrid Smoothing	12
Singular Value Decomposition of Dual Matrices and its Application to Traveling Wave Identification in the Brain	11
A Riemannian Optimization Method to Compute the Nearest Singular Pencil	11
$(L_r,L_r,1)$-Decompositions, Sparse Component Analysis, and the Blind Separation of Sums of Exponentials	11
Global Convergence of Hessenberg Shifted QR III: Approximate Ritz Values via Shifted Inverse Iteration	11
Probabilistic Rounding Error Analysis of Householder QR Factorization	11
A Fast Iterative Algorithm for Near-Diagonal Eigenvalue Problems	10
A Newton Method for Solving Locally Definite Multiparameter Eigenvalue Problems by Multi-index	10
Sensitivity of Matrix Function Based Network Communicability Measures: Computational Methods and A Priori Bounds	10
Sharp Estimation of Convergence Rate for Self-Consistent Field Iteration to Solve Eigenvector-Dependent Nonlinear Eigenvalue Problems	10
A Bootstrap Multigrid Eigensolver	10
Mixed Precision Recursive Block Diagonalization for Bivariate Functions of Matrices	9
New Convergence Analysis of GMRES with Weighted Norms, Preconditioning, and Deflation, Leading to a New Deflation Space	9

Krylov-Aware Stochastic Trace Estimation	9
Extreme Ratio Between Spectral and Frobenius Norms of Nonnegative Tensors	9
Efficient Scaling and Squaring Method for the Matrix Exponential	8
EPIC: A Provable Accelerated Eigensolver Based on Preconditioning and Implicit Convexity	8
Analyzing the Influence of Agents in Trust Networks: Applying Nonsmooth Eigensensitivity Theory to a Graph Centrality Problem	8
A Sampling Algorithm to Compute the Set of Feasible Solutions for NonNegative Matrix Factorization with an Arbitrary Rank	7
Multidimensional Total Least Squares Problem with Linear Equality Constraints	7
Decomposition of a Tensor into Multilinear Rank-\({(M_{{r}},N_{{r}},\cdot )}\) Terms	7
Matrix Pencils with Coefficients that have Positive Semidefinite Hermitian Parts	7
Refinement of Hottopixx Method for Nonnegative Matrix Factorization Under Noisy Separability	7
Spectral Transformation for the Dense Symmetric Semidefinite Generalized Eigenvalue Problem	7
Root-Max Problems, Hybrid Expansion-Contraction, and Quadratically Convergent Optimization of Passive Systems	7
Randomized Nyström Preconditioning	7
Solving Singular Generalized Eigenvalue Problems. Part II: Projection and Augmentation	7
On Semidefinite Programming Characterizations of the Numerical Radius and Its Dual Norm	6
High Curvature Means Low Rank: On the Sectional Curvature of Grassmann and Stiefel Manifolds and the Underlying Matrix Trace Inequalities	6
Surrogate-Based Autotuning for Randomized Sketching Algorithms in Regression Problems	6
Deflation for the Off-Diagonal Block in Symmetric Saddle Point Systems	6
Theoretical and Computable Optimal Subspace Expansions for Matrix Eigenvalue Problems	6
Analytical Singular Value Decomposition for a Class of Stoichiometry Matrices	6
Multichannel Frequency Estimation with Constant Amplitude via Convex Structured Low-Rank Approximation	6
Five-Precision GMRES-Based Iterative Refinement	6
On the Condition Number of the Shifted Real Ginibre Ensemble	6
Johnson–Lindenstrauss Embeddings with Kronecker Structure	5
A Block Householder–Based Algorithm for the QR Decomposition of Hierarchical Matrices	5
Twice Is Enough for Dangerous Eigenvalues	5
Higher-Order Self-Consistent Field: Efficient Decoupling Algorithms for Finding the Best Rank-One Approximation of Higher-Order Tensors	5
Parameterized Interpolation of Passive Systems	5
Stochastic Rounding Implicitly Regularizes Tall-and-Thin Matrices	5
Block Preconditioners for the Marker-and-Cell Discretization of the Stokes–Darcy Equations	5
Avoiding Discretization Issues for Nonlinear Eigenvalue Problems	5
Sketching with Kerdock's Crayons: Fast Sparsifying Transforms for Arbitrary Linear Maps	5
Linear Asymptotic Convergence of Anderson Acceleration: Fixed-Point Analysis	5
A Columnwise Update Algorithm for Sparse Stochastic Matrix Factorization	5
Approximate Generalized Inverses with Iterative Refinement for $\epsilon$-Accurate Preconditioning of Singular Systems	5
Hierarchical Orthogonal Factorization: Sparse Square Matrices	5
Entrywise Tensor-Train Approximation of Large Tensors via Random Embeddings	5
On the Backward Stability of S-Step GMRES	4
Krylov Subspace Approach to Core Problems within Multilinear Approximation Problems: A Unifying Framework	4
Tree Quasi-separable Matrices: A Simultaneous Generalization of Sequentially and Hierarchically Semiseparable Representations	4
A Stable Matrix Version of the 2D Fast Multipole Method	4
Measuring Segregation via Analysis on Graphs	4
Multilevel Tau Preconditioners for Symmetrized Multilevel Toeplitz Systems with Applications to Solving Space Fractional Diffusion Equations	4
Fitting Multilevel Factor Models	4
Parametric Kernel Low-Rank Approximations Using Tensor Train Decomposition	4
Backpropagation through Back Substitution with a Backslash	4
Asymptotic Spectral Properties of the Hilbert \(L\) -Matrix	4
Multilinear Singular Value Decomposition–Based Completion with Fibers Observed in a Single Mode	4
Analysis on Aggregation and Block Smoothers in Multigrid Methods for Block Toeplitz Linear Systems	4
Assigning Stationary Distributions to Sparse Stochastic Matrices	3

Row or Column Completion of Polynomial Matrices of Given Degree	3
GMRES with Randomized Sketching and Deflated Restarting	3
A Numerically Stable Communication-Avoiding \({s}\)-Step GMRES Algorithm	3
A Structure Preserving Shift-Invert Infinite Arnoldi Algorithm for a Class of Delay Eigenvalue Problems with Hamiltonian Symmetry	3
Variational Characterization and Rayleigh Quotient Iteration of 2D Eigenvalue Problem with Applications	3
Reorthogonalized Block Classical Gram–Schmidt Using Two Cholesky-Based TSQR Algorithms	3
Geometric Inexact Newton Method for Generalized Singular Values of Grassmann Matrix Pair	3
Properties of the Solution Set of Absolute Value Equations and the Related Matrix Classes	3
Randomized Block Adaptive Linear System Solvers	3
Stable and Efficient Computation of Generalized Polar Decompositions	3
Probabilistic Rounding Error Analysis of Modified Gram–Schmidt	3
A Measure Concentration Effect for Matrices of High, Higher, and Even Higher Dimension	3
Optimal Matrix-Mimetic Tensor Algebras via Variable Projection	3
A Comparison of Mixed Precision Iterative Refinement Approaches for Least-Squares Problems	3
Riemannian Preconditioned Coordinate Descent for Low Multilinear Rank Approximation	3
Solving the Cubic Regularization Model by a Nested Restarting Lanczos Method	3
Global Convergence of Hessenberg Shifted QR II: Finite Arithmetic	3
Improved Variants of the Hutch++ Algorithm for Trace Estimation	3
On Best Low Rank Approximation of Positive Definite Tensors	3
Posterior Covariance Structures in Gaussian Processes	3
A Theory of Quantum Subspace Diagonalization	3
On Adaptive Stochastic Heavy Ball Momentum for Solving Linear Systems	3
Structure-Preserving Doubling Algorithms That Avoid Breakdowns for Algebraic Riccati-Type Matrix Equations	3
A Note on the Randomized Kaczmarz Algorithm for Solving Doubly Noisy Linear Systems	3
An Efficient Algorithm for Integer Lattice Reduction	3
Convergence of Gradient-Based Block Coordinate Descent Algorithms for Nonorthogonal Joint Approximate Diagonalization of Matrices	2
Block-Diagonalization of Quaternion Circulant Matrices with Applications	2
Adaptive Rational Krylov Methods for Exponential Runge–Kutta Integrators	2
A New Interpretation of the Weighted Pseudoinverse and Its Applications	2
A Fast Algorithm for Computing Macaulay Null Spaces of Bivariate Polynomial Systems	2
Near Instance Optimality of the Lanczos Method for Stieltjes and Related Matrix Functions	2
On Pairs of Spectrum Maximizing Products with Distinct Factor Multiplicities	2
Spurious Valleys, NP-Hardness, and Tractability of Sparse Matrix Factorization with Fixed Support	2
Block \(\boldsymbol{\omega }\)-Circulant Preconditioners for Parabolic Optimal Control Problems	2
Smoothing Analysis of Two Robust Multigrid Methods for Elliptic Optimal Control Problems	2
Input-Tailored System-Theoretic Model Order Reduction for Quadratic-Bilinear Systems	2
Partial Identifiability for Nonnegative Matrix Factorization	2
Eigenstructure Perturbations for a Class of Hamiltonian Matrices and Solutions of Related Riccati Inequalities	2
A Complex-Projected Rayleigh Quotient Iteration for Targeting Interior Eigenvalues	2
An Apocalypse-Free First-Order Low-Rank Optimization Algorithm with at Most One Rank Reduction Attempt per Iteration	2
Robust Recovery of Low-Rank Matrices and Low-Tubal-Rank Tensors from Noisy Sketches	2
Singularly Perturbed Markov Modulated Fluid Queues	2
Exactly Solving Sparse Rational Linear Systems via Roundoff-Error-Free Cholesky Factorizations	2
Computing the Square Root of a Low-Rank Perturbation of the Scaled Identity Matrix	2
Generalized Orthogonal Procrustes Problem under Arbitrary Adversaries	2
Simultaneous Diagonalization via Congruence of Hermitian Matrices: Some Equivalent Conditions and a Numerical Solution	2
Fast Approximation of the $p$-Radius, Matrix Pressure, or Generalized Lyapunov Exponent for Positive and Dominated Matrices	2
Variational Characterization of Monotone Nonlinear Eigenvector Problems and Geometry of Self-Consistent Field Iteration	2
Structure Preserving Quaternion Biconjugate Gradient Method	2
Primitivity and Hurwitz Primitivity of Nonnegative Matrix Tuples: A Unified Approach	2
The Rank-1 Completion Problem for Cubic Tensors	2
Large-Scale Minimization of the Pseudospectral Abscissa	2
Cholesky-like Preconditioner for Hodge Laplacians via Heavy Collapsible Subcomplex	2
Spectrum Consistent Coarsening Approximates Edge Weights	2
Guarantees for Existence of a Best Canonical Polyadic Approximation of a Noisy Low-Rank Tensor	2
Finding the Least Element of a Nonnegative Solution Set of a Class of Polynomial Inequalities	2
XTrace: Making the Most of Every Sample in Stochastic Trace Estimation	2
A New Lower Bound on the Size of the Smallest Vertex Separator of a Graph	2
Sharp Majorization-Type Cluster Robust Bounds for Block Filters and Eigensolvers	2
Weighted Enumeration of Nonbacktracking Walks on Weighted Graphs	2
Interior Eigensolver Based on Rational Filter with Composite Rule	2
Spectral Analysis of Preconditioned Matrices Arising from Stage-Parallel Implicit Runge–Kutta Methods of Arbitrarily High Order	2
Random Walks, Conductance, and Resistance for the Connection Graph Laplacian	2
A Recursive Eigenspace Computation for the Canonical Polyadic Decomposition	2
One-Dimensional Tensor Network Recovery	2
On Compatible Transfer Operators in Nonsymmetric Algebraic Multigrid	2
PinT Preconditioner for Forward-Backward Evolutionary Equations	2
Maximal Rank of ${m}\times{n}\times 2$ Tensors over Arbitrary Fields	2
Verified Error Bounds for Matrix Decompositions	2
Nearly Optimal Block-Jacobi Preconditioning	2
Unimodular Completions and Orthogonal Complements of Matrices over Univariate Ore Extensions	2
A Block Minimum Residual Norm Subspace Solver with Partial Convergence Management for Sequences of Linear Systems	2
Higher-Order QR with Tournament Pivoting for Tensor Compression	2
A Class of Sparse Johnson–Lindenstrauss Transforms and Analysis of their Extreme Singular Values	1
Constraint-Satisfying Krylov Solvers for Structure-Preserving Discretizations	1
Solving the Parametric Eigenvalue Problem by Taylor Series and Chebyshev Expansion	1
Sparse Factorization of the Square All-Ones Matrix of Arbitrary Order	1
Matrix Completion and Decomposition in Phase-Bounded Cones	1
Error Bounds for Lanczos-Based Matrix Function Approximation	1
Matrix-Analytic Methods for Solving Poisson’s Equation with Applications to Markov Chains of GI/G/1-Type	1

Self-Dual Polyhedral Cones and Their Slack Matrices	1
Balance with Memory in Signed Networks via Mittag-Leffler Matrix Functions	1
A Boundary-Layer Preconditioner for Singularly Perturbed Convection Diffusion	1
Are Sketch-and-Precondition Least Squares Solvers Numerically Stable?	1
Lipschitz Analysis of Generalized Phase Retrievable Matrix Frames	1
On Characteristic Invariants of Matrix Pencils and Linear Relations	1
Perturbation and Inverse Problems of Stochastic Matrices	1
A Higher-Order Generalized Singular Value Decomposition for Rank-Deficient Matrices	1
New Riemannian Preconditioned Algorithms for Tensor Completion via Polyadic Decomposition	1
Projectively and Weakly Simultaneously Diagonalizable Matrices and their Applications	1
Multivariate Trace Estimation Using Quantum State Space Linear Algebra	1
Bures–Wasserstein Minimizing Geodesics between Covariance Matrices of Different Ranks	1
Low-Rank Plus Diagonal Approximations for Riccati-Like Matrix Differential Equations	1
Permutation-Invariant Log-Euclidean Geometries on Full-Rank Correlation Matrices	1
Coseparable Nonnegative Matrix Factorization	1
More on Tensors with Different Rank and Symmetric Rank	1
Communication Lower Bounds and Optimal Algorithms for Multiple Tensor-Times-Matrix Computation	1
On the Weak Infinite Zero Structures and Relative Degrees for Linear Time-Delay Systems	1
Semidefinite Relaxation Methods for Tensor Absolute Value Equations	1
Speeding Up Krylov Subspace Methods for Computing \(\boldsymbol{{f}(A){b}}\) via Randomization	1
Robust Eigenvectors of Symmetric Tensors	1
A Geometric Approach to Approximating the Limit Set of Eigenvalues for Banded Toeplitz Matrices	1
Takagi Factorization of Matrices Depending on Parameters and Locating Degeneracies of Singular Values	1
Some New Results on the Maximum Growth Factor in Gaussian Elimination	1
Structured Matrix Approximations via Tensor Decompositions	1
A Predictor-Corrector Strategy for Adaptivity in Dynamical Low-Rank Approximations	1
The Interplay between Two Kinds of Hermitian Determinantal Representations	1
The Ultimate Upper Bound on the Injectivity Radius of the Stiefel Manifold	1
Perturbation Theory of Transfer Function Matrices	1
Theoretically and Computationally Convenient Geometries on Full-Rank Correlation Matrices	1
Linear Discriminant Analysis with the Randomized Kaczmarz Method	1
GPMR: An Iterative Method for Unsymmetric Partitioned Linear Systems	1
Factorization of Singular Matrix Polynomials and Matrices with Circular Higher Rank Numerical Ranges	1
Coseparable Nonnegative Tensor Factorization with t-CUR Decomposition	1
Uniformization Stable Markov Models and Their Jordan Algebraic Structure	1
An Augmented Matrix-Based CJ-FEAST SVDsolver for Computing a Partial Singular Value Decomposition with the Singular Values in a Given Interval	1
Euclidean Representation of Low-Rank Matrices and Its Geometric Properties	1
Divide-and-Conquer Methods for Functions of Matrices with Banded or Hierarchical Low-Rank Structure	1
An Edge Centrality Measure Based on the Kemeny Constant	1
Dominant Z-Eigenpairs of Tensor Kronecker Products Decouple	1
Efficient Preconditioners for Interior Point Methods via a New Schur Complement-Based Strategy	1
Convergence to Singular Triplets in the Two-Sided Block-Jacobi SVD Algorithm with Dynamic Ordering	1
Krylov Subspace Recycling with Randomized Sketching for Matrix Functions	1
Scalable Symmetric Tucker Tensor Decomposition	1
On Substochastic Inverse Eigenvalue Problems with the Corresponding Eigenvector Constraints	1
Stochastic Algebraic Riccati Equations Are Almost as Easy as Deterministic Ones Theoretically	1
Semi-Infinite Linear Regression and Its Applications	1
Monte Carlo Methods for Estimating the Diagonal of a Real Symmetric Matrix	1
Solving Singular Generalized Eigenvalue Problems. Part III: Structure Preservation	1
Verified Error Bounds for All Eigenvalues and Eigenvectors of a Matrix	1
Randomized Low-Rank Runge–Kutta Methods	1
CholeskyQR with Randomization and Pivoting for Tall Matrices (CQRRPT)	1
Partial Degeneration of Tensors	1
An Escape Time Formulation for Subgraph Detection and Partitioning of Directed Graphs	1
Infinite GMRES for Parameterized Linear Systems	1
On Spectral and Nuclear Norms of Order Three Tensors with One Fixed Dimension	1