Linear Algebra and Its Applications

Papers
(The median citation count of Linear Algebra and Its Applications is 1. 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.)
ArticleCitations
Editorial Board33
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Anzahl theorems for trivially intersecting subspaces generating a non-singular subspace I: Symplectic and hermitian forms26
Products of infinite upper triangular quadratic matrices24
Isomorphisms between lattices of hyperinvariant subspaces23
Locally finite cycles of linear mappings in countable dimension22
Editorial Board22
A generalized Cheeger inequality21
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The multiplicity of eigenvalues of unicyclic graphs20
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Applications of the Harary-Sachs theorem for hypergraphs18
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Generalized unistochastic matrices16
Contractive upper triangular matrices with prescribed diagonals and superdiagonals16
On Picard groups and Jacobians of directed graphs15
On the spectral radius of the generalized adjacency matrix of a digraph15
When is every linear transformation a sum of a q-potent one and a locally nilpotent one?14
Editorial Board14
The multilinear rank and core of trifocal Grassmann tensors14
Distinguishability of the descriptor systems with regular pencil13
Editorial Board13
Wedge product matrices and orbits of principal congruence subgroups12
Hermitians in matrix algebras with operator norm and associated Lie algebras12
Finite-dimensional representations of map superalgebras12
Invariant subspace perturbations related to defective eigenvalues of Δ-Hermitian and Hamiltonian matrices11
Spectral mapping theorem of an abstract non-unitary quantum walk11
Jordan types with small parts for Artinian Gorenstein algebras of codimension three11
Editorial Board11
Positive moments forever: Undecidable and decidable cases11
Classification and decomposition of quaternionic projective transformations11
Conic optimization techniques yield sufficient conditions for set-completely positive matrix completion under arrowhead specification pattern11
Corrigendum to “Adaptive cross tubal tensor approximation” [Linear Algebra Appl. 695 (2024) 168–190]11
The maximum spectral radius of graphs of given size with forbidden subgraph11
Discrete parabolic groups in PSL(3,11
Maps preserving two small values of λ-th upper scrambling index10
The Pascal matrix, commuting tridiagonal operators and Fourier algebras10
Decompositions of matrices by using commutators10
The next gap in the subrank of 3-tensors10
On association schemes generated by a relation or an idempotent10
Bispectrality for matrix Laguerre-Sobolev polynomials10
Conjectures on spectral properties of ALIF algorithm10
Laplacian spectra of cographs: A twin reduction perspective10
On a family of low-rank algorithms for large-scale algebraic Riccati equations9
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The characteristic polynomials of uniform double hyperstars and uniform hypertriangles9
On realization of left and right products of rational functions9
Symmetric matrix means9
A lower bound for the spectral radius of complex matrices9
Editorial Board9
On the randomized SVD in infinite dimensions9
Every expansive m-concave operator has m-isometric dilation9
The variety of nilpotent pairs (A,B) with [A,B]=λI9
P-matrix powers9
The Karcher mean of equilateral triangles8
Editorial Board8
The numerical radius and positivity of block matrices8
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Counting distinct functional graphs from linear finite dynamical systems8
Smith forms of matrices in Companion Rings, with group theoretic and topological applications8
Bidiagonal factorization of the recurrence matrix for the Hahn multiple orthogonal polynomials8
Mutually orthogonal unitary and orthogonal matrices8
A linear algorithm for the minimal realization problem in physical coordinates with a non-invertible output matrix8
Editorial Board8
Cut norm discontinuity of triangular truncation of graphons8
Embedding matrix algebras into ultragraph Leavitt path algebras and applications8
Collocation methods for nonlinear differential equations on low-rank manifolds8
Recovering a magnitude-symmetric matrix from its principal minors8
Editorial Board8
On the structure of the solutions to the matrix equation G⁎JG = J8
Critical groups of arithmetical structures under a generalized star-clique operation8
Locally supported, quasi-interpolatory bases for the approximation of functions on graphs7
Energy-preserving iteration schemes for Gauss collocation integrators7
Convergence analysis of optimal SOR for a class of consistently ordered 2-cyclic matrices with complex spectra7
Coloring outside the lines: Spectral bounds for generalized hypergraph colorings7
Symmetric nonnegative matrix trifactorization7
Symmetric matrix representations of truncated Toeplitz operators on finite dimensional spaces7
Spectral radius and fractional [a,b]-factor of graphs7
Matrix invertible extensions over commutative rings. Part II: Determinant liftability7
The spectrum of symmetric decorated paths7
Colorings in digraphs from the spectral radius7
Phase retrievability of frames and quantum channels7
On the structure of the 6 × 6 copositive cone7
Minimal compact operators, subdifferential of the maximum eigenvalue and semi-definite programming7
Spectral and norm estimates for matrix-sequences arising from a finite difference approximation of elliptic operators7
Editorial Board6
Locating eigenvalues of quadratic matrix polynomials6
On the sum of the largest and smallest eigenvalues of graphs with high odd girth6
Stochastic matrices and majorization in max algebra6
Optimal unit triangular factorization of symplectic matrices6
Tridiagonal M-matrices whose group inverses are tridiagonal6
Row or column completion of polynomial matrices of given degree II6
Comparing the principal eigenvector of a hypergraph and its shadows6
Tridiagonal pairs of Krawtchouk type arising from finite-dimensional irreducible 6
On a question (and its answer) by Albrecht Böttcher6
Graded monomial identities and almost non-degenerate gradings on matrices6
Numerical solution of a class of quasi-linear matrix equations6
Editorial Board6
Matrices over finite fields of odd characteristic as sums of diagonalizable and square-zero matrices6
Constructing cospectral graphs via exotic graph products6
Decompositions of matrices over division algebras into products of commutators6
Editorial Board6
On Kursov's theorem for matrices over division rings6
The dimension formula for certain twisted Jacquet modules of a cuspidal representation of GL(n,F)6
A note on joint numerical radius6
Complex symmetry in the Fock space of several variables6
Editorial Board6
On connected signed graphs with rank equal to girth6
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A partial proof of the Brouwer's conjecture6
Norm inequalities involving the weighted numerical radii of operators6
A Fiedler-type determinantal inequality in Euclidean Jordan algebras6
Symbol based convergence analysis in multigrid methods for saddle point problems6
Laplacian energies of vertices6
Coordination and discoordination in linear algebra, linear information theory, and coded caching6
Anticodes in the sum-rank metric6
Dynamic Katz and related network measures6
Characterizations of homomorphisms among unital completely positive maps6
On digraphs with polygonal restricted numerical range6
Polynomial approximations for the matrix logarithm with computation graphs6
Eigenvector Phase Retrieval: Recovering eigenvectors from the absolute value of their entries5
A t-intersecting Hilton-Milner theorem for vector spaces5
A note on Erdős matrices and Marcus–Ree inequality5
Algebraic connectivity in normed spaces5
Colorful positive bases decomposition and Helly-type results for cones5
The spectra of random mixed graphs5
A linear condition for non-very generic discriminantal arrangements5
Editorial Board5
When is a subspace of 5
Spectral methods for matrix product factorization5
All eigenvalues of the power hypergraph and signed subgraphs of a graph5
Demystifying the Karpelevič theorem5
Editorial Board5
A maximal distribution result and numerical tests for geometric means of HPD GLT matrix-sequences with degenerate commuting/non-commuting GLT symbols5
A Riordan group poset5
The complete version of Kursov's theorem for matrices over division rings5
Conjectured DXZ decompositions of a unitary matrix5
On the asymptotic spectral distribution of increasing size matrices: test functions, spectral clustering, and asymptotic estimates of outliers5
Strong quantum state transfer on graphs via loop edges5
Combinatorial reduction of set functions and matroid permutations through minor invertible product assignment5
Rosenbrock's theorem on system matrices over elementary divisor domains5
Numerical ranges for compact perturbations of antilinear operators5
The unique spectral extremal graph for intersecting cliques or intersecting odd cycles5
Editorial Board5
On a vector space of matrices associated to threshold and chain graphs5
Symmetric doubly stochastic inverse eigenvalue problem for odd sizes5
The dynamical Cuntz semigroup and ideal-free quotients of Cuntz semigroups5
Bessmertnyĭ realizations of symmetric multivariate rational matrix functions over any field5
Numerical ranges are shadows5
123-avoiding doubly stochastic matrices5
On the distance from a matrix to nilpotents5
Editorial Board5
On the subalgebra lattice of a restricted Lie algebra5
Characterizations of spectral radius and toughness of graphs5
Matrices with all diagonal entries lying on the boundary of the numerical range5
The Hermitian restriction problem for sesquilinear forms5
New scattered linearized quadrinomials5
Spectral radius conditions for the existence of all subtrees of diameter at most four5
Deflation approach for matrix function calculations based on double exponential-type numerical integral formula5
Dynamical dual frames with an application to quantization5
Eigenvalue superposition for Toeplitz matrix-sequences with matrix order dependent symbols5
Editorial Board5
The L'vov-Kaplansky conjecture for polynomials of degree three5
Simultaneous symplectic spectral decomposition of positive semidefinite matrices5
Diminimal families of arbitrary diameter5
The determinant of {±1}-matrices and oriented hypergraphs5
Editorial Board5
Special issue in honor of Daniel B. Szyld5
Avoiding right angles and certain Hamming distances5
Cauchy transforms of colored graphs in two variables5
Polynomial codimension growth of superalgebras with superautomorphism5
Alternating and symmetric superpowers of metric generalized Jordan superpairs5
Editorial Board4
Pseudospectra and simultaneous power control4
Some bounds for determinants of relatively D-stable matrices4
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The numerical radius of fractional powers of matrices4
On the minimum semidefinite rank of signed graphs4
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Numerical ranges of Hankel matrices4
A note for the SNIEP in size 54
The spectral radius of Steiner distance hypermatrices of graphs4
Minimum semidefinite rank of signed graphs and partial 3-trees4
Optimal implementation of quantum gates with two controls4
On the group of linear preservers of the Gau-Wu number4
The skew spectral radius and skew Randić spectral radius of general random oriented graphs4
On the complex stability radius for time-delay differential-algebraic systems4
Cohen Lenstra partitions and mutually annihilating matrices over a finite field4
Kirchberger's theorem for complexes of oriented matroids4
Editorial Board4
Higher order derivatives of the adjugate matrix and the Jordan form4
Upper bounds on the smallest positive eigenvalue of trees with at most one zero eigenvalue4
A distance formula for tuples of operators4
Comprehensive classification of the algebra generated by two idempotent matrices4
Normal approximations of commuting square-summable matrix families4
Graded polynomial identities for the Jordan algebra of 2 × 2 upper triangular matrices4
A unified approach to generalized Pascal-like matrices: q-analysis4
On Cayley graphs over generalized dicyclic groups4
Monotonicity of the principal pivot transform4
Eigenvalues of laplacian matrices of the cycles with one negative-weighted edge4
Editorial Board4
Spectral Turán problem for K54
Grothendieck group of the Leavitt path algebra over power graphs of prime-power cyclic groups4
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Sets of equiangular lines in dimension 18 constructed from A9 ⊕ A9 ⊕ A14
Varieties of group-graded algebras of proper central exponent greater than two4
Maxima of the Q-index: Graphs with no K1,-minor4
Irreducible actions of finite hypergroups and association schemes4
Editorial Board4
Integral representations for higher-order Fréchet derivatives of matrix functions: Quadrature algorithms and new results on the level-2 condition number4
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Identities for subspaces of a parametric Weyl algebra4
Structural properties of symmetric Toeplitz and Hankel matrices4
Piercing intersecting convex sets4
Quasi-Whittaker modules for the n-th Schrödinger algebra4
Editorial Board4
On the alien and domestic eigenvalues of graphs arising from graph operations4
Exponential-type extended Riordan arrays and reciprocity law for generalized Stirling numbers4
On order isomorphisms of locally parallel sets between C⁎-algebras: The case of matrix algebras4
Linear pencils and quadratic programming problems with a quadratic constraint4
Conditionally positive definite unilateral weighted shifts4
On max-plus two-sided linear systems whose solution sets are min-plus linear4
Numerical instability of algebraic rootfinders4
Zero-product balanced algebras4
On the phases of a semi-sectorial matrix and the essential phase of a Laplacian4
Differential codimensions and exponential growth4
Dynamical sampling for the recovery of spatially constant source terms in dynamical systems4
Editorial Board4
On the divisibility of H-shape trees and their spectral determination4
The classification of nilpotent Lie-Yamaguti algebras3
Accurate computations with collocation matrices of the Lupaş-type (p,q)-analogue of the Bernstein basis3
Additive mappings preserving orthogonality between complex inner product spaces3
Root vectors of polynomial and rational matrices: Theory and computation3
New lower bounds on the minimum singular value of a matrix3
d-Orthogonal polynomials via matrix method3
Limit points of A-matrices of graphs3
A proof of Brouwer's conjecture for k = 33
On the optimal rank-1 approximation of matrices in the Chebyshev norm3
Multilayer approximate nullspace methods for saddle point systems3
Higher order isometric commuting tuples on finite dimensional Hilbert spaces3
On the periodicity of singular vectors and the holomorphic block-circulant SVD on the unit circumference3
Maximum determinant and permanent of sparse 0-1 matrices3
On the block Eberlein diagonalization method3
Cyclic frames in finite-dimensional Hilbert spaces3
On local preservation of orthogonality and its application to isometries3
The Kreĭn-Šmul'jan theorem revisited3
Multilayer crisscross error and erasure correction3
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