Linear Algebra and Its Applications

Papers
(The median citation count of Linear Algebra and Its Applications is 0. 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 2021-02-01 to 2025-02-01.)
ArticleCitations
Graphs with few distinct D-eigenvalues determined by their D-spectra39
Multiple typical ranks in matrix completion31
Degree-based energies of trees31
Böttcher-Wenzel inequality for weighted Frobenius norms and its application to quantum physics26
A linear-algebraic and lattice-theoretical look at the Cleaning Lemma of quantum coding theory20
The maximum spectral radius of graphs of given size with forbidden subgraph19
A sharp upper bound on the spectral radius of C5-free /C6-free graphs with given size19
Spectral analysis of implicit 2 stage block Runge-Kutta preconditioners19
Conjectures on spectral properties of ALIF algorithm18
On the periodicity of singular vectors and the holomorphic block-circulant SVD on the unit circumference18
The multilinear rank and core of trifocal Grassmann tensors18
Spectral Turán problems for intersecting even cycles17
Apportionable matrices and gracefully labelled graphs17
Products of unipotent elements of index 2 in orthogonal and symplectic groups17
On almost semimonotone matrices and the linear complementarity problem17
Schur analysis over the unit spectral ball16
Some further applications of a lattice theoretic method in the study of singular LCM matrices14
Nick Higham (1961–2024)14
Specht property for the graded identities of the pair (M2(D),sl2(D))14
(m,13
Editorial Board13
Wedge product matrices and orbits of principal congruence subgroups13
Inheritance properties of the conjugate discrete-time algebraic Riccati equation12
Algebraic constructions for Jacobi-Jordan algebras12
Special issue in honor of Albrecht Böttcher12
New bounds on the periodicity transient of the powers of a tropical matrix: Using cyclicity and factor rank11
Some spectral properties of the non-backtracking matrix of a graph11
Ricci curvature, graphs and eigenvalues11
On the energy of line graphs11
Low dimensional flow polytopes and their toric ideals10
Homogeneous Sylvester equations of lower triangular matrices10
Decompositions of matrices by using commutators10
A refinement of A-Buzano inequality and applications to A-numerical radius inequalities10
Entrywise lower and upper bounds for the Perron vector10
Anticommutative algebras of the third level10
Editorial Board10
Editorial Board10
Combinatorial proofs of multivariate Cayley–Hamilton theorems10
Accurate computations with collocation matrices of the Lupaş-type (p,q)-analogue of the Bernstein basis10
On the spectral radius of the generalized adjacency matrix of a digraph9
A direct solution to the stochastic inverse eigenvalue problem for complex-valued eigenspectra9
A matrix formula for Schur complements of nonnegative selfadjoint linear relations9
Q-integral graphs with at most two vertices of degree greater than or equal to three9
Discrete parabolic groups in PSL(3,9
The classification of nilpotent Lie-Yamaguti algebras9
Spectrum of the Transposition graph9
A relation between multiplicity of nonzero eigenvalues of trees and their matching numbers9
A bound for the p-domination number of a graph in terms of its eigenvalue multiplicities9
Editorial Board8
On (k + 1)-line graphs of k-trees and their nullities8
On the geometry of nearly orthogonal lattices8
A lower bound for the spectral radius of complex matrices8
Root vectors of polynomial and rational matrices: Theory and computation8
On the geometry of numerical ranges over finite fields8
The Faddeev-LeVerrier algorithm and the Pfaffian8
Symmetric matrix means8
On the rank and the approximation of symmetric tensors8
Linear matrix maps for which positivity and complete positivity coincide8
Editorial Board8
Equivalent constructions of nilpotent quadratic Lie algebras8
Spectral properties of token graphs7
On a family of low-rank algorithms for large-scale algebraic Riccati equations7
Some properties concerning Perron vectors of weakly irreducible nonnegative tensors, and their application to rigorous enclosure7
Spectral distribution of families of Hankel matrices7
Editorial Board7
Editorial Board7
Structure of centralizer matrix algebras7
Geometric and spectral analysis on weighted digraphs7
Editorial Board7
Strong star complements in graphs7
Editorial Board7
Complementarity spectrum of digraphs7
Cyclic algebras, symbol algebras and gradings on matrices7
Editorial Board7
Cluster tilting modules for mesh algebras7
Functors between representation categories. Universal modules7
Minimal rank completions for overlapping blocks7
Editorial Board7
Editorial Board7
On distance Laplacian spectral radius and chromatic number of graphs6
On the Hurwitz stability of noninteger Hadamard powers of stable polynomials6
Involutive random walks on total orders and the anti-diagonal eigenvalue property6
Strictly chordal graphs: Structural properties and integer Laplacian eigenvalues6
Surjective isometries between unitary sets of unital JB⁎-algebras6
Some examples of nonassociative coalgebras and supercoalgebras6
Editorial Board6
The Gau–Wu number for 4 × 4 and select arrowhead matrices6
Editorial Board6
Hadamard's optimized inequality6
Editorial Board6
3-Uniform hypergraphs from vector spaces6
On local preservation of orthogonality and its application to isometries6
Editorial Board6
On essential numerical ranges and essential spectra of Hamiltonian systems with one singular endpoint6
Signed graphs with stable maximum nullity at most two6
Editorial Board6
Norm and numerical radius of single operators through tools and techniques from multivariable operator theory6
Exact solutions in low-rank approximation with zeros6
Efficient sampling in spectrahedra and volume approximation6
Editorial Board6
On some algebraic properties related to Heron type operator means on positive definite cones of C⁎-algebras6
Graphs with few distinct eigenvalues and extremal energy6
Sum-full sets are not zero-sum-free6
Editorial Board6
On unitary algebras with graded involution of quadratic growth6
On a minimum enclosing ball of a collection of linear subspaces6
On automorphism groups of idempotent evolution algebras6
Spectral extrema of {Kk6
Editorial Board6
Maximum determinant and permanent of sparse 0-1 matrices6
State representations of convolutional codes over a finite ring6
A new subclass of Q0-matrix in linear complementarity theory6
Decompositions and eigenvectors of Riordan matrices6
The extremal α-index of graphs with no 4-cycle and 5-cycle6
Editorial Board6
On the geometry of the set of control matrices of linear systems with prescribed controllability indices6
A generalization of Fiedler's lemma and the spectra of H-join of graphs6
Low-rank matrix completion in a general non-orthogonal basis6
Finite-dimensional representations of map superalgebras5
Editorial Board5
Editorial Board5
A parametrization of structure-preserving transformations for matrix polynomials5
Signed graphs with maximum nullity two5
Pairs of commuting nilpotent operators with one-dimensional intersection of kernels and matrices commuting with a Weyr matrix5
On worst-case condition numbers of a multiple nonzero finite generalized singular value5
Unitary similarity of a weighted shift matrix to a symmetric matrix5
The characteristic polynomial of projections5
Regularity of interval max-plus matrices5
Double framed moduli spaces of quiver representations5
Spectral mapping theorem of an abstract non-unitary quantum walk5
Relations between the skew spectrum of an oriented graph and the spectrum of an associated signed graph5
Computation of the nearest non-prime polynomial matrix: Structured low-rank approximation approach5
Editorial Board5
New lower bounds on the minimum singular value of a matrix5
Laplacian spectra of cographs: A twin reduction perspective5
A generalized Cheeger inequality5
Eventual cone invariance revisited5
Proof of a conjecture on polynomials preserving nonnegative matrices5
On a question of Haemers regarding vectors in the nullspace of Seidel matrices5
Solutions of the matrix equation p(X)=A, with polynomial function p(λ) over field extensions of 5
On the optimal rank-1 approximation of matrices in the Chebyshev norm5
Classification and decomposition of quaternionic projective transformations5
Factoring discrete-time quantum walks on distance regular graphs into continuous-time quantum walks5
Editorial Board5
The lattice of cycles of an undirected graph5
Solving linear equations over maxmin-ω systems5
Combinatorial necessary conditions for regular graphs to induce periodic quantum walks5
On a preserver problem concerning Kubo-Ando means of positive operators5
Quadratic embedding constants of graphs: Bounds and distance spectra5
Three decompositions of symmetric tensors have similar condition numbers5
On sign-real spectral radii and sign-real expansive matrices5
Editorial Board5
Suzuki type estimates for exponentiated sums and generalized Lie-Trotter formulas in JB-algebras5
Fine gradings on Kantor systems of Hurwitz type5
Applications of the Harary-Sachs theorem for hypergraphs5
Trees with matrix weights: Laplacian matrix and characteristic-like vertices5
The spectra of the unitary matrix of an N-tessellable staggered quantum walk on a graph5
Phase-isometries between normed spaces4
On the equivalence issue of a class of 2-dimensional linear maximum rank distance codes4
Matrices whose group inverses are M-matrices4
Phase retrieval for affine groups over prime fields4
In-evolution operators in genetic coalgebras4
Accurate bidiagonal factorization of quantum Hilbert matrices4
On skew-symmetric Toeplitz matrices over finite fields with periodicity conditions4
Sequence characterization of almost-Riordan arrays4
Quadratic embedding constants of path graphs4
Full characterization of graphs having certain normalized Laplacian eigenvalue of multiplicity n − 34
Randomized block subsampling Kaczmarz-Motzkin method4
Matrix roots in the max-plus algebra4
The multiplicity of eigenvalues of unicyclic graphs4
Editorial Board4
Stochastic matrices realising the boundary of the Karpelevič region4
On the Smith normal form of walk matrices4
On the inverse eigenvalue problem for block graphs4
Compositions and tensor products of linear maps between matrix algebras4
Editorial Board4
Eigenvalue embedding problem for quadratic regular matrix polynomials with symmetry structures4
The characteristic polynomials of uniform double hyperstars and uniform hypertriangles4
(α,β)-labelling method for k-uniform hypergraph and its applications4
Hermitians in matrix algebras with operator norm and associated Lie algebras4
Characterisation of the lattice operations on positive operators with respect to the spectral order4
Preface4
Peripherally automorphic unital completely positive maps4
Spectral and ergodic properties of completely positive maps and decoherence4
Editorial Board4
HS-integral and Eisenstein integral normal mixed Cayley graphs4
Characterizing graphs with fully positive semidefinite Q-matrices4
Majorization for (0,±1)-matrices4
Matrix theory for independence algebras4
Constraints for the spectra of generators of quantum dynamical semigroups4
Correlation matrices of Gaussian Markov random fields over cycle graphs4
Model order reduction for discrete time-delay systems based on Laguerre function expansion4
M-IHS: An accelerated randomized preconditioning method avoiding costly matrix decompositions4
On a formula of Thompson and McEnteggert for the adjugate matrix4
On sums of gr-PI algebras4
Convexity of a certain operator trace functional4
Classifying linear matrix inequalities via abstract operator systems4
Centrosymmetric and reverse matrices in bivariate orthogonal polynomials4
Congruence subgroups and orthogonal groups4
Universality of Weyl unitaries4
Riordan-Krylov matrices over an algebra4
A nonlinear preserver problem on positive matrices4
Characterization of k-spectrally monomorphic two-graphs4
Locally finite cycles of linear mappings in countable dimension4
Editorial Board4
Editorial Board4
Differential polynomial identities of upper triangular matrices of size three4
A zero forcing technique for bounding sums of eigenvalue multiplicities4
Every 2-dimensional Banach space has the Mazur–Ulam property4
A unified approach to nonlinear Perron-Frobenius theory4
On the minimum number of distinct eigenvalues of a threshold graph3
Corrigendum to “Compatible pairs of commuting isometries” [Linear Algebra Appl. 479 (2015) 216–259]3
The n-th production matrix of a Riordan array3
Nontrivial linear projections on the Grassmannian Gr3
Eigenbasis for a weighted adjacency matrix associated with the projective geometry B(n)3
Variational representations related to quantum Rényi relative entropies3
Editorial Board3
Editorial Board3
On the order of regular graphs with fixed second largest eigenvalue3
Spectral bounds for the quantum chromatic number of quantum graphs3
Proof of a conjecture on communicability distance sum index of graphs3
Preserving spectral properties of structured matrices under structured perturbations3
Energy of graphs with no eigenvalue in the interval (−1,1)3
Column subset selection is NP-complete3
A note on the parallel sum3
Corrigendum to “Total positivity of sums, Hadamard products and Hadamard powers: Results and counterexamples” [Linear Algebra Appl. 520 (2017) 242–259]3
Gradings on associative triple systems of the second kind3
On mesh geometries of root Coxeter orbits and mesh algorithms for corank two edge-bipartite signed graphs3
Tight frames generated by a graph short-time Fourier transform3
Products of infinite upper triangular quadratic matrices3
Corrigendum to “Adaptive cross tubal tensor approximation” [Linear Algebra Appl. 695 (2024) 168–190]3
Bounds on the spectral radius of general hypergraphs in terms of clique number3
Divisibility of LCM matrices by totally nonnegative GCD matrices3
On the A- spectral radius of Halin graphs3
Perfect edge state transfer on abelian Cayley graphs3
Quasi-triangularization of matrix polynomials over arbitrary fields3
On line sum optimization3
Anzahl theorems for trivially intersecting subspaces generating a non-singular subspace I: Symplectic and hermitian forms3
Addendum to “Spectral characterizations of signed cycles” [Linear Algebra Appl. 553 (2018) 307–327]3
Isomorphisms between lattices of hyperinvariant subspaces3
Corrigendum to “Some (counter)examples on totally positive Riordan arrays” [Linear Algebra Appl. 594 (2020) 117–123]3
An inverse eigenvalue problem for structured matrices determined by graph pairs3
Stabilization of associated prime ideals of monomial ideals – Bounding the copersistence index3
Characterization of almost-Riordan arrays with row sums3
Excessive symmetry can preclude cutoff3
On Ward's differential calculus, Riordan matrices and Sheffer polynomials3
Kirchhoff index of simplicial networks3
Multiplicative perturbation bounds for multivariate multiple linear regression in Schatten p-norms3
Even grade generic skew-symmetric matrix polynomials with bounded rank3
Classes of nonbipartite graphs with reciprocal eigenvalue property3
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