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	38
Reorthogonalized Pythagorean Variants of Block Classical Gram–Schmidt	27
Contour Integration for Eigenvector Nonlinearities	21
Arbitrary Precision Algorithms for Computing the Matrix Cosine and its Fréchet Derivative	19
Efficient Vectors for Block Perturbed Consistent Matrices	19
Diagonal Scalings for the Eigenstructure of Arbitrary Pencils	15
Generalized Matrix Nearness Problems	14
Analysis of the Truncated Conjugate Gradient Method for Linear Matrix Equations	14
Generalized Perron Roots and Solvability of the Absolute Value Equation	13
Computing the Riemannian Logarithm on the Stiefel Manifold: Metrics, Methods, and Performance	12
Revisiting the Matrix Polynomial Greatest Common Divisor	11
A Fast Iterative Algorithm for Near-Diagonal Eigenvalue Problems	10
Nesting Approximate Inverses for Improved Preconditioning and Algebraic Multigrid Smoothing	10
A Newton Method for Solving Locally Definite Multiparameter Eigenvalue Problems by Multi-index	10
Global Convergence of Hessenberg Shifted QR III: Approximate Ritz Values via Shifted Inverse Iteration	10
A Riemannian Optimization Method to Compute the Nearest Singular Pencil	9
Probabilistic Rounding Error Analysis of Householder QR Factorization	9
$(L_r,L_r,1)$-Decompositions, Sparse Component Analysis, and the Blind Separation of Sums of Exponentials	9
Sensitivity of Matrix Function Based Network Communicability Measures: Computational Methods and A Priori Bounds	9
A Bootstrap Multigrid Eigensolver	9
Extreme Ratio Between Spectral and Frobenius Norms of Nonnegative Tensors	8
New Convergence Analysis of GMRES with Weighted Norms, Preconditioning, and Deflation, Leading to a New Deflation Space	8
Mixed Precision Recursive Block Diagonalization for Bivariate Functions of Matrices	8
Sharp Estimation of Convergence Rate for Self-Consistent Field Iteration to Solve Eigenvector-Dependent Nonlinear Eigenvalue Problems	8
Krylov-Aware Stochastic Trace Estimation	8

Singular Value Decomposition of Dual Matrices and its Application to Traveling Wave Identification in the Brain	8
A Sampling Algorithm to Compute the Set of Feasible Solutions for NonNegative Matrix Factorization with an Arbitrary Rank	7
Analyzing the Influence of Agents in Trust Networks: Applying Nonsmooth Eigensensitivity Theory to a Graph Centrality Problem	7
Randomized Nyström Preconditioning	7
EPIC: A Provable Accelerated Eigensolver Based on Preconditioning and Implicit Convexity	7
Solving Singular Generalized Eigenvalue Problems. Part II: Projection and Augmentation	7
Efficient Scaling and Squaring Method for the Matrix Exponential	7
Matrix Pencils with Coefficients that have Positive Semidefinite Hermitian Parts	6
Root-Max Problems, Hybrid Expansion-Contraction, and Quadratically Convergent Optimization of Passive Systems	6
Surrogate-Based Autotuning for Randomized Sketching Algorithms in Regression Problems	6
Refinement of Hottopixx Method for Nonnegative Matrix Factorization Under Noisy Separability	6
Multidimensional Total Least Squares Problem with Linear Equality Constraints	6
Analytical Singular Value Decomposition for a Class of Stoichiometry Matrices	6
Decomposition of a Tensor into Multilinear Rank-\({(M_{{r}},N_{{r}},\cdot )}\) Terms	6
High Curvature Means Low Rank: On the Sectional Curvature of Grassmann and Stiefel Manifolds and the Underlying Matrix Trace Inequalities	6
Spectral Transformation for the Dense Symmetric Semidefinite Generalized Eigenvalue Problem	6
On Semidefinite Programming Characterizations of the Numerical Radius and Its Dual Norm	5
Five-Precision GMRES-Based Iterative Refinement	5
Stochastic Rounding Implicitly Regularizes Tall-and-Thin Matrices	5
Approximate Generalized Inverses with Iterative Refinement for $\epsilon$-Accurate Preconditioning of Singular Systems	5
On the Condition Number of the Shifted Real Ginibre Ensemble	5
Multichannel Frequency Estimation with Constant Amplitude via Convex Structured Low-Rank Approximation	5
A Block Householder–Based Algorithm for the QR Decomposition of Hierarchical Matrices	5
A Columnwise Update Algorithm for Sparse Stochastic Matrix Factorization	5
Deflation for the Off-Diagonal Block in Symmetric Saddle Point Systems	5
Theoretical and Computable Optimal Subspace Expansions for Matrix Eigenvalue Problems	5
Block Preconditioners for the Marker-and-Cell Discretization of the Stokes–Darcy Equations	5
Twice Is Enough for Dangerous Eigenvalues	5
Linear Asymptotic Convergence of Anderson Acceleration: Fixed-Point Analysis	4
Multilinear Singular Value Decomposition–Based Completion with Fibers Observed in a Single Mode	4
Johnson–Lindenstrauss Embeddings with Kronecker Structure	4
Sketching with Kerdock's Crayons: Fast Sparsifying Transforms for Arbitrary Linear Maps	4
Hierarchical Orthogonal Factorization: Sparse Square Matrices	4
Backpropagation through Back Substitution with a Backslash	4
Avoiding Discretization Issues for Nonlinear Eigenvalue Problems	4
Parameterized Interpolation of Passive Systems	4
Krylov Subspace Approach to Core Problems within Multilinear Approximation Problems: A Unifying Framework	4
Measuring Segregation via Analysis on Graphs	4
Entrywise Tensor-Train Approximation of Large Tensors via Random Embeddings	4
Solving the Cubic Regularization Model by a Nested Restarting Lanczos Method	3
Parametric Kernel Low-Rank Approximations Using Tensor Train Decomposition	3
A Numerically Stable Communication-Avoiding \({s}\)-Step GMRES Algorithm	3
Randomized Block Adaptive Linear System Solvers	3
A Comparison of Mixed Precision Iterative Refinement Approaches for Least-Squares Problems	3
Global Convergence of Hessenberg Shifted QR II: Finite Arithmetic	3
A Measure Concentration Effect for Matrices of High, Higher, and Even Higher Dimension	3
Analysis on Aggregation and Block Smoothers in Multigrid Methods for Block Toeplitz Linear Systems	3
Geometric Inexact Newton Method for Generalized Singular Values of Grassmann Matrix Pair	3
A Stable Matrix Version of the 2D Fast Multipole Method	3
Assigning Stationary Distributions to Sparse Stochastic Matrices	3

A Note on the Randomized Kaczmarz Algorithm for Solving Doubly Noisy Linear Systems	3
Improved Variants of the Hutch++ Algorithm for Trace Estimation	3
A Theory of Quantum Subspace Diagonalization	3
An Efficient Algorithm for Integer Lattice Reduction	3
Multilevel Tau Preconditioners for Symmetrized Multilevel Toeplitz Systems with Applications to Solving Space Fractional Diffusion Equations	3
Asymptotic Spectral Properties of the Hilbert \(L\) -Matrix	3
Variational Characterization and Rayleigh Quotient Iteration of 2D Eigenvalue Problem with Applications	3
Properties of the Solution Set of Absolute Value Equations and the Related Matrix Classes	3
Structure-Preserving Doubling Algorithms That Avoid Breakdowns for Algebraic Riccati-Type Matrix Equations	3
GMRES with Randomized Sketching and Deflated Restarting	3
Row or Column Completion of Polynomial Matrices of Given Degree	2
Sharp Majorization-Type Cluster Robust Bounds for Block Filters and Eigensolvers	2
Guarantees for Existence of a Best Canonical Polyadic Approximation of a Noisy Low-Rank Tensor	2
Input-Tailored System-Theoretic Model Order Reduction for Quadratic-Bilinear Systems	2
An Apocalypse-Free First-Order Low-Rank Optimization Algorithm with at Most One Rank Reduction Attempt per Iteration	2
A Block Minimum Residual Norm Subspace Solver with Partial Convergence Management for Sequences of Linear Systems	2
Interior Eigensolver Based on Rational Filter with Composite Rule	2
Adaptive Rational Krylov Methods for Exponential Runge–Kutta Integrators	2
Primitivity and Hurwitz Primitivity of Nonnegative Matrix Tuples: A Unified Approach	2
Unimodular Completions and Orthogonal Complements of Matrices over Univariate Ore Extensions	2
Stable and Efficient Computation of Generalized Polar Decompositions	2
Reorthogonalized Block Classical Gram–Schmidt Using Two Cholesky-Based TSQR Algorithms	2
Probabilistic Rounding Error Analysis of Modified Gram–Schmidt	2
On Pairs of Spectrum Maximizing Products with Distinct Factor Multiplicities	2
PinT Preconditioner for Forward-Backward Evolutionary Equations	2
Cholesky-like Preconditioner for Hodge Laplacians via Heavy Collapsible Subcomplex	2
Finding the Least Element of a Nonnegative Solution Set of a Class of Polynomial Inequalities	2
Simultaneous Diagonalization via Congruence of Hermitian Matrices: Some Equivalent Conditions and a Numerical Solution	2
Computing the Square Root of a Low-Rank Perturbation of the Scaled Identity Matrix	2
A Complex-Projected Rayleigh Quotient Iteration for Targeting Interior Eigenvalues	2
Block \(\boldsymbol{\omega }\)-Circulant Preconditioners for Parabolic Optimal Control Problems	2
Verified Error Bounds for Matrix Decompositions	2
A Structure Preserving Shift-Invert Infinite Arnoldi Algorithm for a Class of Delay Eigenvalue Problems with Hamiltonian Symmetry	2
On Best Low Rank Approximation of Positive Definite Tensors	2
Large-Scale Minimization of the Pseudospectral Abscissa	2
A Fast Algorithm for Computing Macaulay Null Spaces of Bivariate Polynomial Systems	2
Variational Characterization of Monotone Nonlinear Eigenvector Problems and Geometry of Self-Consistent Field Iteration	2
Exactly Solving Sparse Rational Linear Systems via Roundoff-Error-Free Cholesky Factorizations	2
Random Walks, Conductance, and Resistance for the Connection Graph Laplacian	2
Robust Recovery of Low-Rank Matrices and Low-Tubal-Rank Tensors from Noisy Sketches	2
One-Dimensional Tensor Network Recovery	2
Eigenstructure Perturbations for a Class of Hamiltonian Matrices and Solutions of Related Riccati Inequalities	2
Spectrum Consistent Coarsening Approximates Edge Weights	2
Riemannian Preconditioned Coordinate Descent for Low Multilinear Rank Approximation	2
On Adaptive Stochastic Heavy Ball Momentum for Solving Linear Systems	2
Block-Diagonalization of Quaternion Circulant Matrices with Applications	1
Perturbation Theory of Transfer Function Matrices	1
Nearly Optimal Block-Jacobi Preconditioning	1
Euclidean Representation of Low-Rank Matrices and Its Geometric Properties	1
On the Weak Infinite Zero Structures and Relative Degrees for Linear Time-Delay Systems	1
On Compatible Transfer Operators in Nonsymmetric Algebraic Multigrid	1
GPMR: An Iterative Method for Unsymmetric Partitioned Linear Systems	1
Dominant Z-Eigenpairs of Tensor Kronecker Products Decouple	1
Spurious Valleys, NP-Hardness, and Tractability of Sparse Matrix Factorization with Fixed Support	1
A Boundary-Layer Preconditioner for Singularly Perturbed Convection Diffusion	1
XTrace: Making the Most of Every Sample in Stochastic Trace Estimation	1
Structured Matrix Approximations via Tensor Decompositions	1
Divide-and-Conquer Methods for Functions of Matrices with Banded or Hierarchical Low-Rank Structure	1
Generalized Orthogonal Procrustes Problem under Arbitrary Adversaries	1
The Ultimate Upper Bound on the Injectivity Radius of the Stiefel Manifold	1
Higher-Order QR with Tournament Pivoting for Tensor Compression	1
Theoretically and Computationally Convenient Geometries on Full-Rank Correlation Matrices	1
Projectively and Weakly Simultaneously Diagonalizable Matrices and their Applications	1
Balance with Memory in Signed Networks via Mittag-Leffler Matrix Functions	1
Sparse Factorization of the Square All-Ones Matrix of Arbitrary Order	1
Singularly Perturbed Markov Modulated Fluid Queues	1
Communication Lower Bounds and Optimal Algorithms for Multiple Tensor-Times-Matrix Computation	1
A New Lower Bound on the Size of the Smallest Vertex Separator of a Graph	1
Are Sketch-and-Precondition Least Squares Solvers Numerically Stable?	1
Krylov Subspace Recycling with Randomized Sketching for Matrix Functions	1
Constraint-Satisfying Krylov Solvers for Structure-Preserving Discretizations	1
Maximal Rank of ${m}\times{n}\times 2$ Tensors over Arbitrary Fields	1
A Higher-Order Generalized Singular Value Decomposition for Rank-Deficient Matrices	1
Matrix Completion and Decomposition in Phase-Bounded Cones	1
Fast Approximation of the $p$-Radius, Matrix Pressure, or Generalized Lyapunov Exponent for Positive and Dominated Matrices	1
Semi-Infinite Linear Regression and Its Applications	1
Convergence of Gradient-Based Block Coordinate Descent Algorithms for Nonorthogonal Joint Approximate Diagonalization of Matrices	1
Lipschitz Analysis of Generalized Phase Retrievable Matrix Frames	1
Matrix-Analytic Methods for Solving Poisson’s Equation with Applications to Markov Chains of GI/G/1-Type	1
Structure Preserving Quaternion Biconjugate Gradient Method	1

A Predictor-Corrector Strategy for Adaptivity in Dynamical Low-Rank Approximations	1
An Augmented Matrix-Based CJ-FEAST SVDsolver for Computing a Partial Singular Value Decomposition with the Singular Values in a Given Interval	1
A New Interpretation of the Weighted Pseudoinverse and Its Applications	1
Stochastic Algebraic Riccati Equations Are Almost as Easy as Deterministic Ones Theoretically	1
Infinite GMRES for Parameterized Linear Systems	1
An Escape Time Formulation for Subgraph Detection and Partitioning of Directed Graphs	1
Uniformization Stable Markov Models and Their Jordan Algebraic Structure	1
Coseparable Nonnegative Matrix Factorization	1
Coseparable Nonnegative Tensor Factorization with t-CUR Decomposition	1
Semidefinite Relaxation Methods for Tensor Absolute Value Equations	1
Smoothing Analysis of Two Robust Multigrid Methods for Elliptic Optimal Control Problems	1
Verified Error Bounds for All Eigenvalues and Eigenvectors of a Matrix	1
Partial Identifiability for Nonnegative Matrix Factorization	1
Factorization of Singular Matrix Polynomials and Matrices with Circular Higher Rank Numerical Ranges	1
The Rank-1 Completion Problem for Cubic Tensors	1
Monte Carlo Methods for Estimating the Diagonal of a Real Symmetric Matrix	1
Bures–Wasserstein Minimizing Geodesics between Covariance Matrices of Different Ranks	1
A Recursive Eigenspace Computation for the Canonical Polyadic Decomposition	1
Partial Degeneration of Tensors	1
Solving the Parametric Eigenvalue Problem by Taylor Series and Chebyshev Expansion	1
On Characteristic Invariants of Matrix Pencils and Linear Relations	1
A Class of Sparse Johnson–Lindenstrauss Transforms and Analysis of their Extreme Singular Values	1
Spectral Analysis of Preconditioned Matrices Arising from Stage-Parallel Implicit Runge–Kutta Methods of Arbitrarily High Order	1
A Geometric Approach to Approximating the Limit Set of Eigenvalues for Banded Toeplitz Matrices	1
Permutation-Invariant Log-Euclidean Geometries on Full-Rank Correlation Matrices	1
Weighted Enumeration of Nonbacktracking Walks on Weighted Graphs	1
Efficient Preconditioners for Interior Point Methods via a New Schur Complement-Based Strategy	1
More on Tensors with Different Rank and Symmetric Rank	1
Low-Rank Plus Diagonal Approximations for Riccati-Like Matrix Differential Equations	1
On Spectral and Nuclear Norms of Order Three Tensors with One Fixed Dimension	1
An Edge Centrality Measure Based on the Kemeny Constant	1
Speeding Up Krylov Subspace Methods for Computing \(\boldsymbol{{f}(A){b}}\) via Randomization	1
Multivariate Trace Estimation Using Quantum State Space Linear Algebra	1