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 2022-05-01 to 2026-05-01.)
ArticleCitations
Editorial Board33
Editorial Board32
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Anzahl theorems for trivially intersecting subspaces generating a non-singular subspace I: Symplectic and hermitian forms29
Products of infinite upper triangular quadratic matrices26
Isomorphisms between lattices of hyperinvariant subspaces24
On association schemes generated by a relation or an idempotent22
Editorial Board22
Editorial Board21
Locally finite cycles of linear mappings in countable dimension21
A generalized Cheeger inequality20
Editorial Board20
On the numerical range of some weighted shift operators19
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The multiplicity of eigenvalues of unicyclic graphs18
Editorial Board17
Symmetric matrix means16
Applications of the Harary-Sachs theorem for hypergraphs15
Editorial Board15
Contractive upper triangular matrices with prescribed diagonals and superdiagonals14
Generalized unistochastic matrices14
Conjectures on spectral properties of ALIF algorithm14
Editorial Board14
On Picard groups and Jacobians of directed graphs13
Positive moments forever: Undecidable and decidable cases12
Wedge product matrices and orbits of principal congruence subgroups12
Corrigendum to “Adaptive cross tubal tensor approximation” [Linear Algebra Appl. 695 (2024) 168–190]12
Hermitians in matrix algebras with operator norm and associated Lie algebras11
When is every linear transformation a sum of a q-potent one and a locally nilpotent one?11
Distinguishability of the descriptor systems with regular pencil11
Finite-dimensional representations of map superalgebras11
The multilinear rank and core of trifocal Grassmann tensors11
Editorial Board11
On the spectral radius of the generalized adjacency matrix of a digraph11
Decompositions of matrices by using commutators11
Bispectrality for matrix Laguerre-Sobolev polynomials11
Spectral mapping theorem of an abstract non-unitary quantum walk10
The maximum spectral radius of graphs of given size with forbidden subgraph10
Jordan types with small parts for Artinian Gorenstein algebras of codimension three10
Conic optimization techniques yield sufficient conditions for set-completely positive matrix completion under arrowhead specification pattern10
Classification and decomposition of quaternionic projective transformations10
On the randomized SVD in infinite dimensions10
Editorial Board10
Every expansive m-concave operator has m-isometric dilation10
Involutive random walks on total orders and the anti-diagonal eigenvalue property10
The next gap in the subrank of 3-tensors9
On a family of low-rank algorithms for large-scale algebraic Riccati equations9
A lower bound for the spectral radius of complex matrices9
Maps preserving two small values of λ-th upper scrambling index9
Laplacian spectra of cographs: A twin reduction perspective9
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Discrete parabolic groups in PSL(3,9
The Pascal matrix, commuting tridiagonal operators and Fourier algebras9
The variety of nilpotent pairs (A,B) with [A,B]=λI9
Editorial Board8
Reinhardt free spectrahedra8
Editorial Board8
Critical groups of arithmetical structures under a generalized star-clique operation8
The characteristic polynomials of uniform double hyperstars and uniform hypertriangles8
On realization of left and right products of rational functions8
A linear algorithm for the minimal realization problem in physical coordinates with a non-invertible output matrix8
The Karcher mean of equilateral triangles8
Editorial Board8
On the structure of the solutions to the matrix equation G⁎JG = J8
Editorial Board8
Editorial Board8
Symmetric nonnegative matrix trifactorization8
Colorings in digraphs from the spectral radius8
On digraphs with polygonal restricted numerical range8
P-matrix powers8
Smith forms of matrices in Companion Rings, with group theoretic and topological applications7
Bidiagonal factorization of the recurrence matrix for the Hahn multiple orthogonal polynomials7
Counting distinct functional graphs from linear finite dynamical systems7
On the structure of the 6 × 6 copositive cone7
Optimal unit triangular factorization of symplectic matrices7
Cut norm discontinuity of triangular truncation of graphons7
Embedding matrix algebras into ultragraph Leavitt path algebras and applications7
Collocation methods for nonlinear differential equations on low-rank manifolds7
Matrix invertible extensions over commutative rings. Part II: Determinant liftability7
Convergence analysis of optimal SOR for a class of consistently ordered 2-cyclic matrices with complex spectra7
Locating eigenvalues of quadratic matrix polynomials7
Recovering a magnitude-symmetric matrix from its principal minors7
Editorial Board7
The numerical radius and positivity of block matrices7
Locally supported, quasi-interpolatory bases for the approximation of functions on graphs7
Spectral and norm estimates for matrix-sequences arising from a finite difference approximation of elliptic operators7
Mutually orthogonal unitary and orthogonal matrices7
Constructing cospectral graphs via exotic graph products6
Decompositions of matrices over division algebras into products of commutators6
Editorial Board6
Editorial Board6
Characterizations of homomorphisms among unital completely positive maps6
Editorial Board6
Anticodes in the sum-rank metric6
Symbol based convergence analysis in multigrid methods for saddle point problems6
Phase retrievability of frames and quantum channels6
Energy-preserving iteration schemes for Gauss collocation integrators6
Norm inequalities involving the weighted numerical radii of operators6
Matrices over finite fields of odd characteristic as sums of diagonalizable and square-zero matrices6
The spectrum of symmetric decorated paths6
Dynamical dual frames with an application to quantization6
On a question (and its answer) by Albrecht Böttcher6
Numerical solution of a class of quasi-linear matrix equations6
Polynomial approximations for the matrix logarithm with computation graphs6
Editorial Board6
Symmetric matrix representations of truncated Toeplitz operators on finite dimensional spaces6
Inexact subspace projection methods for low-rank tensor eigenvalue problems6
A Fiedler-type determinantal inequality in Euclidean Jordan algebras6
Stochastic matrices and majorization in max algebra6
On the sum of the largest and smallest eigenvalues of graphs with high odd girth6
Editorial Board6
On connected signed graphs with rank equal to girth6
Tridiagonal M-matrices whose group inverses are tridiagonal6
Editorial Board6
Graded monomial identities and almost non-degenerate gradings on matrices6
Spectral radius and fractional [a,b]-factor of graphs6
Minimal compact operators, subdifferential of the maximum eigenvalue and semi-definite programming6
The spectra of random mixed graphs5
When is a subspace of 5
Diminimal families of arbitrary diameter5
A Riordan group poset5
Spectral radius conditions for the existence of all subtrees of diameter at most four5
Editorial Board5
Special issue in honor of Daniel B. Szyld5
Editorial Board5
Cauchy transforms of colored graphs in two variables5
Editorial Board5
On the asymptotic spectral distribution of increasing size matrices: test functions, spectral clustering, and asymptotic estimates of outliers5
On Kursov's theorem for matrices over division rings5
Combinatorial reduction of set functions and matroid permutations through minor invertible product assignment5
Tridiagonal pairs of Krawtchouk type arising from finite-dimensional irreducible 5
Dynamic Katz and related network measures5
Matrices with all diagonal entries lying on the boundary of the numerical range5
Simultaneous symplectic spectral decomposition of positive semidefinite matrices5
A note on Erdős matrices and Marcus–Ree inequality5
Polynomial codimension growth of superalgebras with superautomorphism5
Conjectured DXZ decompositions of a unitary matrix5
Demystifying the Karpelevič theorem5
The dynamical Cuntz semigroup and ideal-free quotients of Cuntz semigroups5
A maximal distribution result and numerical tests for geometric means of HPD GLT matrix-sequences with degenerate commuting/non-commuting GLT symbols5
Editorial Board5
The complete version of Kursov's theorem for matrices over division rings5
Editorial Board5
The dimension formula for certain twisted Jacquet modules of a cuspidal representation of GL(n,F)5
Coordination and discoordination in linear algebra, linear information theory, and coded caching5
A t-intersecting Hilton-Milner theorem for vector spaces5
Comparing the principal eigenvector of a hypergraph and its shadows5
Laplacian energies of vertices5
Eigenvector Phase Retrieval: Recovering eigenvectors from the absolute value of their entries5
Bessmertnyĭ realizations of symmetric multivariate rational matrix functions over any field5
All eigenvalues of the power hypergraph and signed subgraphs of a graph5
On the subalgebra lattice of a restricted Lie algebra5
Alternating and symmetric superpowers of metric generalized Jordan superpairs5
On the distance from a matrix to nilpotents5
123-avoiding doubly stochastic matrices5
Avoiding right angles and certain Hamming distances5
The determinant of {±1}-matrices and oriented hypergraphs5
Symmetric doubly stochastic inverse eigenvalue problem for odd sizes5
Characterizations of spectral radius and toughness of graphs5
Strong quantum state transfer on graphs via loop edges5
Spectral methods for matrix product factorization5
Row or column completion of polynomial matrices of given degree II5
Numerical ranges are shadows5
A note on joint numerical radius5
Complex symmetry in the Fock space of several variables5
Piercing intersecting convex sets4
Editorial Board4
Editorial Board4
Editorial Board4
Irreducible actions of finite hypergroups and association schemes4
Remarks on Hadamard matrices and a theorem of Macphail4
Grothendieck group of the Leavitt path algebra over power graphs of prime-power cyclic groups4
On the phases of a semi-sectorial matrix and the essential phase of a Laplacian4
On Cayley graphs over generalized dicyclic groups4
On the group of linear preservers of the Gau-Wu number4
Graded polynomial identities for the Jordan algebra of 2 × 2 upper triangular matrices4
Integral representations for higher-order Fréchet derivatives of matrix functions: Quadrature algorithms and new results on the level-2 condition number4
Spectral Turán problem for K54
Editorial Board4
Normal approximations of commuting square-summable matrix families4
Sets of equiangular lines in dimension 18 constructed from A9 ⊕ A9 ⊕ A14
Maxima of the Q-index: Graphs with no K1,-minor4
Zero-product balanced algebras4
Editorial Board4
On a vector space of matrices associated to threshold and chain graphs4
Varieties of group-graded algebras of proper central exponent greater than two4
New scattered linearized quadrinomials4
A unified approach to generalized Pascal-like matrices: q-analysis4
On the minimum semidefinite rank of signed graphs4
The numerical radius of fractional powers of matrices4
Dynamical sampling for the recovery of spatially constant source terms in dynamical systems4
Eigenvalues of laplacian matrices of the cycles with one negative-weighted edge4
Numerical instability of algebraic rootfinders4
Linear pencils and quadratic programming problems with a quadratic constraint4
Cohen Lenstra partitions and mutually annihilating matrices over a finite field4
Optimal implementation of quantum gates with two controls4
Editorial Board4
The spectral radius of Steiner distance hypermatrices of graphs4
A linear condition for non-very generic discriminantal arrangements4
Editorial Board4
Deflation approach for matrix function calculations based on double exponential-type numerical integral formula4
On the complex stability radius for time-delay differential-algebraic systems4
The unique spectral extremal graph for intersecting cliques or intersecting odd cycles4
Comprehensive classification of the algebra generated by two idempotent matrices4
The L'vov-Kaplansky conjecture for polynomials of degree three4
Identities for subspaces of a parametric Weyl algebra4
Upper bounds on the smallest positive eigenvalue of trees with at most one zero eigenvalue4
Differential codimensions and exponential growth4
Editorial Board4
On max-plus two-sided linear systems whose solution sets are min-plus linear4
The skew spectral radius and skew Randić spectral radius of general random oriented graphs4
Minimum semidefinite rank of signed graphs and partial 3-trees4
A note for the SNIEP in size 54
Quasi-Whittaker modules for the n-th Schrödinger algebra4
Monotonicity of the principal pivot transform4
Conditionally positive definite unilateral weighted shifts4
Editorial Board4
On order isomorphisms of locally parallel sets between C⁎-algebras: The case of matrix algebras4
Rosenbrock's theorem on system matrices over elementary divisor domains4
Kirchberger's theorem for complexes of oriented matroids4
Exponential-type extended Riordan arrays and reciprocity law for generalized Stirling numbers4
Colorful positive bases decomposition and Helly-type results for cones4
Some bounds for determinants of relatively D-stable matrices4
Eigenvalue superposition for Toeplitz matrix-sequences with matrix order dependent symbols4
The Kreĭn-Šmul'jan theorem revisited3
Multilayer crisscross error and erasure correction3
Model order reduction for discrete time-delay systems based on Laguerre function expansion3
Numerical methods for eigenvalues of singular polynomial eigenvalue problems3
Additive mappings preserving orthogonality between complex inner product spaces3
The characterization of the minimal weighted acyclic graphs3
Cyclic frames in finite-dimensional Hilbert spaces3
Maximum determinant and permanent of sparse 0-1 matrices3
Multilayer approximate nullspace methods for saddle point systems3
On the periodicity of singular vectors and the holomorphic block-circulant SVD on the unit circumference3
d-Orthogonal polynomials via matrix method3
New lower bounds on the minimum singular value of a matrix3
Characterizing graphs with fully positive semidefinite Q-matrices3
M-IHS: An accelerated randomized preconditioning method avoiding costly matrix decompositions3
Characterization of k-spectrally monomorphic two-graphs3
Limit points of A-matrices of graphs3
Root vectors of polynomial and rational matrices: Theory and computation3
On local preservation of orthogonality and its application to isometries3
Higher order isometric commuting tuples on finite dimensional Hilbert spaces3
A proof of Brouwer's conjecture for k = 33
Corrigendum to “Compatible pairs of commuting isometries” [Linear Algebra Appl. 479 (2015) 216–259]3
Exact bounds for the consistent matrices obtained from the efficient vectors for a reciprocal matrix3
Spectral properties of token graphs3
The Gau–Wu number for 4 × 4 and select arrowhead matrices3
The classification of nilpotent Lie-Yamaguti algebras3
Sequence characterization of almost-Riordan arrays3
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