Linear & Multilinear Algebra

Papers
(The median citation count of Linear & Multilinear Algebra 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 2022-08-01 to 2026-08-01.)
ArticleCitations
Square roots of complex symmetric operators26
Matrices over commutative rings as sums of higher powers16
Exponential stability of switched block triangular systems under arbitrary switching15
The incomplete matrix beta function and its application to first Appell hypergeometric matrix function15
On the signless Laplacian spectrum of k -uniform hypergraphs14
On special H -matrices based on Beauwens condition13
On a question of Bhatia, Friedland and Jain II12
Weyl-type theorems for hypercyclic and supercyclic operators12
Quasi-radial operators on the Fock space and C* -algebras of entire functions11
A decomposition of matrix-valued H 2 -functions11
Essential connectivity and spectral radius of graphs11
On simple evolution algebras of dimension two and three. Constructing simple and semisimple evolution algebras10
Fredholm theory on Krein spaces and its application to pseudospectrum10
Local derivations on the Lie algebra W (2, 2)9
On semimonotone matrices of exact order two9
Some inequalities for bounds of joint δ -numerical radius and joint δ -Crawford number functions8
New backward error bounds of Rayleigh–Ritz projection methods for quadratic eigenvalue problem8
On subdirect sums of Nekrasov matrices8
Forms of biisometric operators and biorthogonality8
Almost full rank matrices arising from transitive tournaments7
The tan Θ theorem for definite matrix pairs7
Existence of flipped orthogonal conjugate symmetric Jordan canonical bases for real H -selfadjoint matrices6
The Ihara expression of a generalization of the weighted zeta function on a finite digraph6
Some applications of eigenvalues of unitary Cayley graphs of matrix rings over finite fields6
An efficient approach for enclosing the solution set of the interval coupled Sylvester matrix equations6
Countably many asymptotic tensor ranks6
Symmetric perimeters of completely positive Boolean matrices and their preservers5
Some classes of nonsingular tensors and application5
Pseudospectral mapping theorem for quaternionic operators5
Unitary equivalences for k -circulant operator matrices with applications5
A new invariant for cyclic orbit flag codes5
On exp(Der(E)) of nilpotent evolution algebras of maximal nilindex5
Real Schur norms and Hadamard matrices5
The solution of the large-scale differential Sylvester matrix problems by extended nonsymmetric block Lanczos algorithm5
A Kantorovich type inequality for positive matrices5
The -positive semidefinite matrices A such that are nonsingular5
On the numerical index of the real two-dimensional L p space5
Further properties and representations of the W -weighted m -weak group inverse5
Graphs with the minimal Laplacian coefficients5
Some notes on the energy of graphs with loops4
Non-weight modules over a Schrödinger-Virasoro type algebra4
On the solution of the Yang–Baxter–like operator equation on Hilbert spaces4
Nice operators and nice spaces4
Chollet's permanent conjecture for 4 × 4 matrices4
Further results on weighted core inverse in a ring4
New multiplicative perturbation bounds on orthogonal projection4
Inequalities for partial determinants of positive semidefinite block matrices4
Maximal border subrank tensors4
Quantum injectivity of g-frames in finite dimensions4
Characterization of matrices satisfying the reverse order law for the Moore–Penrose pseudoinverse4
Coherence invariant maps on order-3 symmetric tensors4
On Sinkhorn's DAD theorem and the self-consistency equation in COSMO-based activity coefficient models4
Quaternionic essential numerical range of complex operators4
G-Drazin inverse combined with inner inverse4
Trees with integer reciprocal eigenvalue property4
On singular pencils with commuting coefficients4
Proof of a conjecture on the determinant of the walk matrix of rooted product with a path4
Operator radius inequalities for Hilbert space operators4
On binary relation of dual core generalized inverses4
Joint numerical radius distance preservers on C *-algebras4
Further results on strongly core orthogonal matrix3
Spectral properties of linear operators on a Hilbert space3
The semi-Fredholmness and property (ω) for 2×2 upper triangular operator matrices3
Inseparable Gershgorin discs and the existence of conjugate complex eigenvalues of real matrices3
Algebraic technique for mixed least squares and total least squares problem in the reduced biquaternion algebra3
Convex inequalities in Hilbert C *-modules3
An orthogonality relation in complex normed spaces based on norm derivatives3
On decomposition of left-right Atkinson linear relations and related classes3
The matched projection and geodesics of the Grassmann manifold3
On a class of functions of two non-commuting matrices: general properties, Fréchet derivatives and conditioning3
On computing HITS ExpertRank via lumping the hub matrix3
Norm and numerical radius inequalities for operator matrices3
Diameter of the BJ -orthograph in finite-dimensional C *-algebras3
L-structure least squares solutions of generalized reduced biquaternion matrix equations with applications3
Advancements in the generalization of m -isometries: introducing the q -partial-( m, A )-isometry class3
Correction3
On the closure of absolutely norm attaining operators3
Correction3
Trigonometric determinants via special values of Dirichlet L -functions3
On commutators of idempotents3
On a norming property of subspaces of a Banach space and some applications3
High relative accuracy for rational q-Bernstein–Vandermonde matrices3
Matrices with rotation and/or reflection invariant higher rank numerical ranges3
2-Local derivations on the Schrödinger-Virasoro algebra3
Euclidean and circum-Euclidean distance matrices: characterizations and interlacing property3
Bott-Duffin group inverse3
Modified CRI iteration methods for complex symmetric indefinite linear systems3
Exposedness of elementary positive maps between matrix algebras2
Characterizing the additive separability of operator generalized inverses2
SJ -class operators and supercyclicity2
GLT hidden structures in mean-field quantum spin systems2
Extremal marginals of an unbounded local completely positive and local completely contractive map2
The generalized Brauer–Ostrowski theorem for matrices of operators2
Commutator widths of general linear groups over local rings2
A quadratic operator equation and a non-commutative uncertainty relation2
Endomorphisms of the riordan group, some new facts2
A face of the polytope of doubly stochastic matrices2
On the minimum modulus of dual truncated Toeplitz operators2
Some quantum MDS codes from GRS codes2
Decay estimates of Green's matrices for discrete-time linear periodic systems2
Divisibility among power matrices associated with multiplicative functions2
Distinct eigenvalues are realizable with generic eigenvectors2
Some properties of the q -numerical radius2
The normalized Laplacian spectrum of n -polygon graphs and applications2
Inequalities for products of singular values of matrices2
Transformations preserving the effective spectral radius of a matrix2
Linear operators and construction of symmetric symbols satisfying sum rules of order p2
Perturbations of tempered spectra2
On the two-sided removal and cancellation properties associated with selfadjoint operators2
The projection m -weak group inverse2
Preservers of of pseudospectra of matrix skew products2
Weighted generalized core–EP inverse2
A bound on the rank of weighted graphs in terms of girth2
Generalized Locally Toeplitz matrix-sequences and approximated PDEs on submanifolds: the flat case2
Approximating the phi-function action on linear combinations of Krylov bases2
When is a product of EP elements again EP?2
On von Neumann algebras consisting of complex symmetric operators2
Maximal numerical range of tensor product of two operators2
On the Seidel Estrada index of graphs2
q-Numerical radius inequalities for Hilbert space2
Invariant cones for actions of semigroups in Sl( d , ℝ) and controllability of bilinear control systems2
A study of local symmetry of Birkhoff–James orthogonality in Banach spaces2
On a question of Erdős on doubly stochastic matrices2
Partition reduction method for norm estimation of H-matrices and their subclasses with applications in linear complementarity problems2
Classification of graphs by Laplacian eigenvalue distribution and independence number2
Strong commutativity preserving maps on rank k strictly triangular matrices2
Metrics related to oscillator algebras2
Characterization of graphs whose Laplacian eigenvalue 1 has multiplicity 2 c ( G ) +  2
The Moore–Penrose inverses of unbounded closable operators and the direct sum of closed operators in Hilbert spaces2
r -invertible matrices over commutative semirings2
Generalized Drazin-meromorphic invertible operators and Browder type theorems2
Bialternant formula for Schur polynomials with repeating variables2
Commuting maps on idempotents and functional identities on finite subsets of fields2
Sharp lower bounds for the Laplacian Estrada index of graphs2
Fixed point groups of involutions of type O(q, k ) over a field of characteristic two2
A new approach to MacMahon’s Partition Analysis and associated applications2
Spectral extremal problem of the p th power of cycles2
The quantum Ramsey numbers QR (2, k )2
The spectra of graphs based on general graph operations2
Fixed points of doubly stochastic operators with application to Markov chains2
On limiting probability distributions of higher order Markov chains2
Comparison theorems for splittings of different M-tensors2
Nilpotent linear spaces in M 4 ( F )2
A generalization of core-nilpotent endomorphisms in infinite-dimensional vector spaces2
On the extreme eigenvalues and asymptotic conditioning of a class of Toeplitz matrix-sequences arising from fractional problems2
A note on numerical ranges of tensors2
The generalized numerical radius of a product of operators2
The set of stable indices of 0–1 matrices with a given order2
A metric function for dual quaternion matrices and related least-squares problems2
Approximating the closest structured singular matrix polynomial2
Generalized Paley graphs equienergetic with their complements1
Non-affine families of 8 x 8 complex Hadamard matrices1
The images of multilinear and semihomogeneous polynomials on the algebra of octonions1
Maps commuting with the λ -Aluthge transform for the semistar Jordan product1
Perturbation properties of the generalized spectral radius1
Conjugate phase retrieval on general Hilbert spaces1
On an analogue of a property of singular M -matrices for the Lyapunov and Stein operators1
Joint paranormality: bridging the gap between hyponormal and normaloid tuples1
On convergence of Jacobi–Davidson method for solving Hermitian generalized eigenvalue problems1
A construction of non-isomorphic polyhedral cones using Lyapunov rank1
Spectral characterization of threshold graphs by distance Laplacian matrices1
Multiplicative and additive compounds via Kronecker products and Kronecker sums1
A unipotent-nilpotent factorization of matrices over division rings and applications1
The alternative Heinz means of matrices1
On the minimum number of eigenvalues of trees of diameter seven1
Nodal domain theorems of signed hypergraphs1
On p -joint spectral radius of operators in Hilbert spaces and related results1
Inequalities and limits of weighted spectral geometric mean1
Generalized matricial ranges and positive definiteness1
On the existence of extremal solutions for the conjugate discrete-time Riccati equation1
Matrix tree theorem for the net Laplacian matrix of a signed graph1
Trace maximization algorithm for the approximate tensor diagonalization1
Dominating sets for uniform subset graphs1
Chow's theorem for Hilbert Grassmannians as a Wigner-type theorem1
Properties of several L -functions of a digraph from induced representation theory1
The Jordan algebraic structure of the rotated quadratic cone1
On the eigenvectors of generalized circulant matrices1
A bivariate extension of the Crouzeix–Palencia result with an application to Fréchet derivatives of matrix functions1
Real representations of powers of real matrices and its applications1
Unitary similarity and polar factors preservers1
Inner product inequalities with applications1
Another proof of a result on the doubly superstochastic matrices1
On geometric circulant matrices with geometric sequence1
Unified approach to reciprocal matrices with Kippenhahn curves containing elliptical components1
Ever-reaching probabilities and mean first passage times of higher order ergodic Markov chains1
Construction of infinite frames with some given redundancy1
The generalized Banach sequence spaces and their dual spaces based on permutation symmetric gauge norms1
Investigation for the k -analogue of τ -Gauss hypergeometric matrix functions and associated fractional ca1
Minimal degenerations of orbits of skew-symmetric matrix pencils1
The generating graph of dicyclic groups1
One sided star and core orthogonality of matrices1
Characterizing matrices with eigenvalues in an LMI region: a dissipative-Hamiltonian approach1
New inequalities for permanents and hafnians and some generalizations1
Local automorphisms of complex solvable Lie algebras of maximal rank1
Spectral radii of arithmetical structures on cycle graphs1
Additive properties and absorption laws for generalized inverses1
Solutions of the Yang–Baxter–like matrix equation with 3×3 diagonalizable coefficient matrix1
A characterization of state transfer on double subdivided stars1
The polar decomposition of the product of three operators1
The distance spectral radius of k -uniform hypertrees with given number of vertices of maximum degree1
On eigenvalues of certain special matrices1
Correction of ‘ J. Laderman, V. Pan, X.–H. Sha, On practical Algorithms for Accelerated Matrix Multiplication, Linear Algebra and its Applications. Vol. 162-164 (1992) pp. 557-588 1
Perturbations of gaps in the essential spectra of self-adjoint relations1
Further generalized numerical radius inequalities for Hilbert space operators1
Invertible perturbations of essential spectra for upper triangular relation matrices1
On interlacing of net-Laplacian and normalized net-Laplacian eigenvalues of signed graphs1
Power-product matrix: nonsingularity, sparsity and determinant1
Mixed singular value and phase majorization inequalities for accretive matrices1
A spectral analysis of the correlated random walk1
Maximal numerical range of the tensor product of operators in semi-Hilbertian spaces1
Computing a compact local Smith–McMillan form1
Constructing cospectral hypergraphs1
Dual core-EP generalized inverse and a new decomposition1
Inequalities and equalities on the joint and generalized spectral and essential spectral radius of the Hadamard geometric mean of bounded sets of positive kernel operators1
Comment on “Structured backward errors for block three-by-three saddle point systems”1
Laplacian eigenvalue distribution, diameter and domination number of trees1
On the best coapproximation problem in ℓ1n,1
On the second largest adjacency eigenvalue of trees with given diameter1
Irreducible combinatorially symmetric sign patterns requiring a unique inertia1
Eigenvalues of zero-divisor graphs, Catalan numbers, and a decomposition of eigenspaces1
Schur decomposition of several matrices1
Weighted Reed–Solomon convolutional codes1
Operator spectral geometric versus geometric mean1
Order and spectrum preserving maps in AW *-algebras1
Two-step Noda iteration for irreducible nonnegative matrices1
C *-module operators which satisfy the generalized Cauchy–Schwarz type inequality1
On affine spaces of alternating matrices with constant rank1
The r -equilibrium problem1
Refined von Neumann-type trace inequality and its application1
Weighted G- (B,C) inverses1
Left and right power-EP matrices1
Roundoff-error-free QR factorization via integer-preserving Gram Schmidt orthogonalization1
Some inequalities for spectral geometric mean with applications1
Entries of the bottleneck matrices of maximal outerplanar graphs1
Barrett–Johnson inequalities for totally nonnegative matrices1
The Wasserstein mean of unipotent matrices1
Existence and uniqueness of solutions for Leontief's Input–Output Model, graph theory and sensitivity analysis1
Bounded rank perturbations of matrix pencils without nontrivial invariant factors1
On perturbation bounds of generalized core inverses of matrices1
Some results on the A α -eigenvalues of a graph1
On supmodular matrices1
Injective envelopes for locally C *-algebras*1
Non-exposed polyhedral faces of the completely positive cone1
Jordan product and analytic core preservers1
Rescaled ♮ α -Rényi divergences of all real orders1
A novel structure-preserving algorithm for the singular value decomposition of biquaternion matrices1
Theoretical error estimates for computing the matrix logarithm by Padé-type approximants1
Upper and lower bounds for the solution of the Lyapunov matrix differential equation1
The eigenvectors-eigenvalues identity and Sun's conjectures on determinants and permanents1
Derivations, 2-local derivations and biderivations of the Euclidean Lie algebra and their applications1
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