OOIR: Observatory of International Research

Papers

(The TQCC of SIAM Journal on Matrix Analysis and Applications is 5. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2022-05-01 to 2026-05-01.)

Article	Citations
An Analysis of the Rayleigh–Ritz and Refined Rayleigh–Ritz Methods for Regular Nonlinear Eigenvalue Problems	57
Adaptive Randomized Pivoting for Column Subset Selection, DEIM, and Low-Rank Approximation	54
Generalized Perron Roots and Solvability of the Absolute Value Equation	49
Generalized Matrix Nearness Problems	32
Reorthogonalized Pythagorean Variants of Block Classical Gram–Schmidt	28
Contour Integration for Eigenvector Nonlinearities	24
Revisiting the Matrix Polynomial Greatest Common Divisor	21
Diagonal Scalings for the Eigenstructure of Arbitrary Pencils	21
Unified SMW-Like Identities of Low-Rank Updates for Generalized Inverses and Pseudoinverses	20
Analysis of the Truncated Conjugate Gradient Method for Linear Matrix Equations	19
Commutator Calculus and Symbolic Differentiation of Matrix Functions	19
Perfect State Transfer Between Real Pure States	18
Multilinear Analysis of Quaternion Arrays: Theory and Computation	17
Computing Asymptotic Eigenvectors and Eigenvalues of Perturbed Symmetric Matrices	16
Computing the Riemannian Logarithm on the Stiefel Manifold: Metrics, Methods, and Performance	16
Efficient Vectors for Block Perturbed Consistent Matrices	15
A Fast Iterative Algorithm for Near-Diagonal Eigenvalue Problems	15
$(L_r,L_r,1)$-Decompositions, Sparse Component Analysis, and the Blind Separation of Sums of Exponentials	14
A Bootstrap Multigrid Eigensolver	14
Probabilistic Rounding Error Analysis of Householder QR Factorization	13
Global Convergence of Hessenberg Shifted QR III: Approximate Ritz Values via Shifted Inverse Iteration	13
Nesting Approximate Inverses for Improved Preconditioning and Algebraic Multigrid Smoothing	13
Sensitivity of Matrix Function Based Network Communicability Measures: Computational Methods and A Priori Bounds	13
New Convergence Analysis of GMRES with Weighted Norms, Preconditioning, and Deflation, Leading to a New Deflation Space	13
A Newton Method for Solving Locally Definite Multiparameter Eigenvalue Problems by Multi-index	13

Extreme Ratio Between Spectral and Frobenius Norms of Nonnegative Tensors	11
A Riemannian Optimization Method to Compute the Nearest Singular Pencil	11
Randomized Nyström Preconditioning	11
Singular Value Decomposition of Dual Matrices and its Application to Traveling Wave Identification in the Brain	11
Krylov-Aware Stochastic Trace Estimation	10
Analyzing the Influence of Agents in Trust Networks: Applying Nonsmooth Eigensensitivity Theory to a Graph Centrality Problem	10
Refinement of Hottopixx Method for Nonnegative Matrix Factorization Under Noisy Separability	10
Solving Singular Generalized Eigenvalue Problems. Part II: Projection and Augmentation	10
Root-Max Problems, Hybrid Expansion-Contraction, and Quadratically Convergent Optimization of Passive Systems	10
Decomposition of a Tensor into Multilinear Rank-${(M_{{r}},N_{{r}},\cdot )}$ Terms	9
Matrix Pencils with Coefficients that have Positive Semidefinite Hermitian Parts	9
Preconditioning Low Rank Generalized Minimal Residual Method (GMRES) for Implicit Discretizations of Matrix Differential Equations	9
Efficient Scaling and Squaring Method for the Matrix Exponential	9
Surrogate-Based Autotuning for Randomized Sketching Algorithms in Regression Problems	8
Analytical Singular Value Decomposition for a Class of Stoichiometry Matrices	8
Spectral Transformation for the Dense Symmetric Semidefinite Generalized Eigenvalue Problem	8
EPIC: A Provable Accelerated Eigensolver Based on Preconditioning and Implicit Convexity	8
On Semidefinite Programming Characterizations of the Numerical Radius and Its Dual Norm	8
Multichannel Frequency Estimation with Constant Amplitude via Convex Structured Low-Rank Approximation	7
High Curvature Means Low Rank: On the Sectional Curvature of Grassmann and Stiefel Manifolds and the Underlying Matrix Trace Inequalities	7
A Columnwise Update Algorithm for Sparse Stochastic Matrix Factorization	7
Block Preconditioners for the Marker-and-Cell Discretization of the Stokes–Darcy Equations	7
Deflation for the Off-Diagonal Block in Symmetric Saddle Point Systems	7
On the Condition Number of the Shifted Real Ginibre Ensemble	7
Stochastic Rounding Implicitly Regularizes Tall-and-Thin Matrices	7
A Block Householder–Based Algorithm for the QR Decomposition of Hierarchical Matrices	7
Hutchinson’s Estimator is Bad at Kronecker-Trace-Estimation	7
Five-Precision GMRES-Based Iterative Refinement	7
Johnson–Lindenstrauss Embeddings with Kronecker Structure	7
Entrywise Tensor-Train Approximation of Large Tensors via Random Embeddings	6
Parameterized Interpolation of Passive Systems	6
Avoiding Discretization Issues for Nonlinear Eigenvalue Problems	6
Backpropagation through Back Substitution with a Backslash	6
Multilevel Tau Preconditioners for Symmetrized Multilevel Toeplitz Systems with Applications to Solving Space Fractional Diffusion Equations	6
Measuring Segregation via Analysis on Graphs	6
Sketching with Kerdock's Crayons: Fast Sparsifying Transforms for Arbitrary Linear Maps	6
Optimal Backward Error of a Total Least Squares and Its Randomized Algorithms	6
Tree Quasi-separable Matrices: A Simultaneous Generalization of Sequentially and Hierarchically Semiseparable Representations	6
Multilinear Singular Value Decomposition–Based Completion with Fibers Observed in a Single Mode	6
A Stable Matrix Version of the 2D Fast Multipole Method	6
Higher-Order Self-Consistent Field: Efficient Decoupling Algorithms for Finding the Best Rank-One Approximation of Higher-Order Tensors	6
Linear Asymptotic Convergence of Anderson Acceleration: Fixed-Point Analysis	6
Fitting Multilevel Factor Models	6
Analysis on Aggregation and Block Smoothers in Multigrid Methods for Block Toeplitz Linear Systems	6
Asymptotic Spectral Properties of the Hilbert $L$ -Matrix	6
Krylov Subspace Approach to Core Problems within Multilinear Approximation Problems: A Unifying Framework	6
On the Backward Stability of S-Step GMRES	6
A Comparison of Mixed Precision Iterative Refinement Approaches for Least-Squares Problems	5
Parametric Kernel Low-Rank Approximations Using Tensor Train Decomposition	5
Erratum for “Eigenstructure Perturbations for a Class of Hamiltonian Matrices and Solutions of Related Riccati Inequalities”	5

Solving the Cubic Regularization Model by a Nested Restarting Lanczos Method	5
Variational Characterization and Rayleigh Quotient Iteration of 2D Eigenvalue Problem with Applications	5
Efficient CP Rounding Using Alternating Least Squares with QR Decomposition	5
A Numerically Stable Communication-Avoiding ${s}$-Step GMRES Algorithm	5
Structure-Preserving Doubling Algorithms That Avoid Breakdowns for Algebraic Riccati-Type Matrix Equations	5
Algebraic Bounds for the Independence and Chromatic Number of Graph Powers	5
Assigning Stationary Distributions to Sparse Stochastic Matrices	5
Randomized Block Adaptive Linear System Solvers	5
An Efficient Algorithm for Integer Lattice Reduction	5
Convergence Properties of Nonlinear GMRES Applied to Linear Systems	5
A Theory of Quantum Subspace Diagonalization	5