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 2022-06-01 to 2026-06-01.)

Article	Citations
Analysis of the Truncated Conjugate Gradient Method for Linear Matrix Equations	61
Diagonal Scalings for the Eigenstructure of Arbitrary Pencils	55
Unified SMW-Like Identities of Low-Rank Updates for Generalized Inverses and Pseudoinverses	51
Perfect State Transfer Between Real Pure States	34
Multilinear Analysis of Quaternion Arrays: Theory and Computation	29
Commutator Calculus and Symbolic Differentiation of Matrix Functions	24
Efficient Vectors for Block Perturbed Consistent Matrices	23
Computing Asymptotic Eigenvectors and Eigenvalues of Perturbed Symmetric Matrices	22
Contour Integration for Eigenvector Nonlinearities	21
Revisiting the Matrix Polynomial Greatest Common Divisor	19
Generalized Perron Roots and Solvability of the Absolute Value Equation	19
Adaptive Randomized Pivoting for Column Subset Selection, DEIM, and Low-Rank Approximation	19
An Analysis of the Rayleigh–Ritz and Refined Rayleigh–Ritz Methods for Regular Nonlinear Eigenvalue Problems	18
Reorthogonalized Pythagorean Variants of Block Classical Gram–Schmidt	16
Generalized Matrix Nearness Problems	16
Computing the Riemannian Logarithm on the Stiefel Manifold: Metrics, Methods, and Performance	16
A Bootstrap Multigrid Eigensolver	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
Global Convergence of Hessenberg Shifted QR III: Approximate Ritz Values via Shifted Inverse Iteration	14
A Riemannian Optimization Method to Compute the Nearest Singular Pencil	13
Probabilistic Rounding Error Analysis of Householder QR Factorization	13
Sensitivity of Matrix Function Based Network Communicability Measures: Computational Methods and A Priori Bounds	13
A Newton Method for Solving Locally Definite Multiparameter Eigenvalue Problems by Multi-index	13
Singular Value Decomposition of Dual Matrices and its Application to Traveling Wave Identification in the Brain	13

New Convergence Analysis of GMRES with Weighted Norms, Preconditioning, and Deflation, Leading to a New Deflation Space	12
Nesting Approximate Inverses for Improved Preconditioning and Algebraic Multigrid Smoothing	12
Krylov-Aware Stochastic Trace Estimation	11
Extreme Ratio Between Spectral and Frobenius Norms of Nonnegative Tensors	11
Root-Max Problems, Hybrid Expansion-Contraction, and Quadratically Convergent Optimization of Passive Systems	11
Refinement of Hottopixx Method for Nonnegative Matrix Factorization Under Noisy Separability	11
Solving Singular Generalized Eigenvalue Problems. Part II: Projection and Augmentation	10
Analyzing the Influence of Agents in Trust Networks: Applying Nonsmooth Eigensensitivity Theory to a Graph Centrality Problem	10
EPIC: A Provable Accelerated Eigensolver Based on Preconditioning and Implicit Convexity	10
Preconditioning Low Rank Generalized Minimal Residual Method (GMRES) for Implicit Discretizations of Matrix Differential Equations	10
Matrix Pencils with Coefficients that have Positive Semidefinite Hermitian Parts	9
Efficient Scaling and Squaring Method for the Matrix Exponential	9
Decomposition of a Tensor into Multilinear Rank-${(M_{{r}},N_{{r}},\cdot )}$ Terms	8
Surrogate-Based Autotuning for Randomized Sketching Algorithms in Regression Problems	8
Spectral Transformation for the Dense Symmetric Semidefinite Generalized Eigenvalue Problem	8
Randomized Nyström Preconditioning	8
On Semidefinite Programming Characterizations of the Numerical Radius and Its Dual Norm	7
Hutchinson’s Estimator is Bad at Kronecker-Trace-Estimation	7
Stochastic Rounding Implicitly Regularizes Tall-and-Thin Matrices	7
Johnson–Lindenstrauss Embeddings with Kronecker Structure	7
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 Block Householder–Based Algorithm for the QR Decomposition of Hierarchical Matrices	7
Block Preconditioners for the Marker-and-Cell Discretization of the Stokes–Darcy Equations	7
Analytical Singular Value Decomposition for a Class of Stoichiometry Matrices	7
Deflation for the Off-Diagonal Block in Symmetric Saddle Point Systems	7
On the Condition Number of the Shifted Real Ginibre Ensemble	7
A Columnwise Update Algorithm for Sparse Stochastic Matrix Factorization	7
Five-Precision GMRES-Based Iterative Refinement	7
Measuring Segregation via Analysis on Graphs	6
Parameterized Interpolation of Passive Systems	6
Linear Asymptotic Convergence of Anderson Acceleration: Fixed-Point Analysis	6
Krylov Subspace Approach to Core Problems within Multilinear Approximation Problems: A Unifying Framework	6
Backpropagation through Back Substitution with a Backslash	6
Fitting Multilevel Factor Models	6
Higher-Order Self-Consistent Field: Efficient Decoupling Algorithms for Finding the Best Rank-One Approximation of Higher-Order Tensors	6
Avoiding Discretization Issues for Nonlinear Eigenvalue Problems	6
Entrywise Tensor-Train Approximation of Large Tensors via Random Embeddings	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
Sketching with Kerdock's Crayons: Fast Sparsifying Transforms for Arbitrary Linear Maps	6
On the Backward Stability of S-Step GMRES	6
Optimal Backward Error of a Total Least Squares and Its Randomized Algorithms	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
Parametric Kernel Low-Rank Approximations Using Tensor Train Decomposition	5
A Numerically Stable Communication-Avoiding ${s}$-Step GMRES Algorithm	5
Assigning Stationary Distributions to Sparse Stochastic Matrices	5
A Theory of Quantum Subspace Diagonalization	5
A Comparison of Mixed Precision Iterative Refinement Approaches for Least-Squares Problems	5

Randomized Block Adaptive Linear System Solvers	5
A Stable Matrix Version of the 2D Fast Multipole Method	5
Convergence Properties of Nonlinear GMRES Applied to Linear Systems	5
Structure-Preserving Doubling Algorithms That Avoid Breakdowns for Algebraic Riccati-Type Matrix Equations	5
Probabilistic Rounding Error Analysis of Modified Gram–Schmidt	5
Multilevel Tau Preconditioners for Symmetrized Multilevel Toeplitz Systems with Applications to Solving Space Fractional Diffusion Equations	5
Erratum for “Eigenstructure Perturbations for a Class of Hamiltonian Matrices and Solutions of Related Riccati Inequalities”	5
Efficient CP Rounding Using Alternating Least Squares with QR Decomposition	5
Variational Characterization and Rayleigh Quotient Iteration of 2D Eigenvalue Problem with Applications	5
Algebraic Bounds for the Independence and Chromatic Number of Graph Powers	5
An Efficient Algorithm for Integer Lattice Reduction	5