Linear & Multilinear Algebra

Papers
(The median citation count of Linear & Multilinear Algebra 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
Scaffoldings of totally positive matrices and line insertion24
Hadamard product and related inequalities in the Jordan spin algebra21
The q-derivative formula and determinant identities16
Square roots of complex symmetric operators15
Matrices over commutative rings as sums of higher powers14
The incomplete matrix beta function and its application to first Appell hypergeometric matrix function13
Exponential stability of switched block triangular systems under arbitrary switching12
A decomposition of matrix-valued H 2 -functions11
Weyl-type theorems for hypercyclic and supercyclic operators11
Essential connectivity and spectral radius of graphs11
On the signless Laplacian spectrum of k -uniform hypergraphs10
On simple evolution algebras of dimension two and three. Constructing simple and semisimple evolution algebras10
On special H -matrices based on Beauwens condition10
Fredholm theory on Krein spaces and its application to pseudospectrum9
New backward error bounds of Rayleigh–Ritz projection methods for quadratic eigenvalue problem9
Some inequalities for bounds of joint δ -numerical radius and joint δ -Crawford number functions8
Local derivations on the Lie algebra W (2, 2)8
On subdirect sums of Nekrasov matrices8
Quasi-radial operators on the Fock space and C* -algebras of entire functions8
On a question of Bhatia, Friedland and Jain II8
On semimonotone matrices of exact order two7
Forms of biisometric operators and biorthogonality7
The Ihara expression of a generalization of the weighted zeta function on a finite digraph6
Formulas for the eigendiscriminants of ternary and quaternary forms6
Further properties and representations of the W -weighted m -weak group inverse6
Existence of flipped orthogonal conjugate symmetric Jordan canonical bases for real H -selfadjoint matrices6
A strict inequality on the energy of edge partitioning of graphs6
An efficient approach for enclosing the solution set of the interval coupled Sylvester matrix equations6
Countably many asymptotic tensor ranks6
The tan Θ theorem for definite matrix pairs6
Almost full rank matrices arising from transitive tournaments6
On exp(Der(E)) of nilpotent evolution algebras of maximal nilindex6
Some classes of nonsingular tensors and application5
A new invariant for cyclic orbit flag codes5
Pseudospectral mapping theorem for quaternionic operators5
Real Schur norms and Hadamard matrices5
Characterizations of Lie centralizers of triangular algebras5
The solution of the large-scale differential Sylvester matrix problems by extended nonsymmetric block Lanczos algorithm5
The -positive semidefinite matrices A such that are nonsingular5
On the numerical index of the real two-dimensional L p space5
Some applications of eigenvalues of unitary Cayley graphs of matrix rings over finite fields5
Symmetric perimeters of completely positive Boolean matrices and their preservers5
Proof of a conjecture on the determinant of the walk matrix of rooted product with a path4
Quaternionic essential numerical range of complex operators4
Further results on weighted core inverse in a ring4
A Kantorovich type inequality for positive matrices4
Leibniz algebras and graphs4
New multiplicative perturbation bounds on orthogonal projection4
Chollet's permanent conjecture for 4 × 4 matrices4
On binary relation of dual core generalized inverses4
Nice operators and nice spaces4
Unitary equivalences for k -circulant operator matrices with applications4
Graphs with the minimal Laplacian coefficients4
Characterization of C-symmetric Toeplitz operators for a class of conjugations in Hardy spaces4
On resistance matrices of weighted balanced digraphs4
Operator radius inequalities for Hilbert space operators4
Joint numerical radius distance preservers on C *-algebras4
Quantum injectivity of g-frames in finite dimensions4
On singular pencils with commuting coefficients4
On the solution of the Yang–Baxter–like operator equation on Hilbert spaces4
Coherence invariant maps on order-3 symmetric tensors4
Characterization of matrices satisfying the reverse order law for the Moore–Penrose pseudoinverse4
On commutators of idempotents3
Non-weight modules over a Schrödinger-Virasoro type algebra3
L-structure least squares solutions of generalized reduced biquaternion matrix equations with applications3
Correction3
Convex inequalities in Hilbert C *-modules3
The semi-Fredholmness and property (ω) for 2×2 upper triangular operator matrices3
An orthogonality relation in complex normed spaces based on norm derivatives3
G-Drazin inverse combined with inner inverse3
Some notes on the energy of graphs with loops3
On a class of functions of two non-commuting matrices: general properties, Fréchet derivatives and conditioning3
Maximal border subrank tensors3
Sum of two strictly n -zero matrices3
2-Local derivations on the Schrödinger-Virasoro algebra3
Advancements in the generalization of m -isometries: introducing the q -partial-( m, A )-isometry class3
Bott-Duffin group inverse3
Spectral properties of linear operators on a Hilbert space3
On a norming property of subspaces of a Banach space and some applications3
New unitary equivalences for some operator matrices with applications3
On Sinkhorn's DAD theorem and the self-consistency equation in COSMO-based activity coefficient models3
Inequalities for partial determinants of positive semidefinite block matrices3
Trigonometric determinants via special values of Dirichlet L -functions3
Correction3
Algebraic technique for mixed least squares and total least squares problem in the reduced biquaternion algebra3
On decomposition of left-right Atkinson linear relations and related classes3
On the closure of absolutely norm attaining operators3
Euclidean and circum-Euclidean distance matrices: characterizations and interlacing property3
Further results on strongly core orthogonal matrix3
Signed graphs whose all Laplacian eigenvalues are main3
Modified CRI iteration methods for complex symmetric indefinite linear systems3
Endomorphisms of the riordan group, some new facts2
SJ -class operators and supercyclicity2
q-Numerical radius inequalities for Hilbert space2
Some properties of the q -numerical radius2
Extremal marginals of an unbounded local completely positive and local completely contractive map2
Classification of graphs by Laplacian eigenvalue distribution and independence number2
Partition reduction method for norm estimation of H-matrices and their subclasses with applications in linear complementarity problems2
The set of stable indices of 0–1 matrices with a given order2
The spectra of graphs based on general graph operations2
Weighted generalized core–EP inverse2
Characterization of graphs whose Laplacian eigenvalue 1 has multiplicity 2 c ( G ) +  2
Characterizing the additive separability of operator generalized inverses2
A metric function for dual quaternion matrices and related least-squares problems2
A bound on the rank of weighted graphs in terms of girth2
Decay estimates of Green's matrices for discrete-time linear periodic systems2
A generalized Wigner–Yanase skew information2
On von Neumann algebras consisting of complex symmetric operators2
High relative accuracy for rational q-Bernstein–Vandermonde matrices2
Generalized Locally Toeplitz matrix-sequences and approximated PDEs on submanifolds: the flat case2
When is a product of EP elements again EP?2
Commuting maps on idempotents and functional identities on finite subsets of fields2
Norm and numerical radius inequalities for operator matrices2
Strong commutativity preserving maps on rank k strictly triangular matrices2
On a question of Erdős on doubly stochastic matrices2
Invariant cones for actions of semigroups in Sl( d , ℝ) and controllability of bilinear control systems2
Maximal numerical range of tensor product of two operators2
Transformations preserving the effective spectral radius of a matrix2
On limiting probability distributions of higher order Markov chains2
The generalized Brauer–Ostrowski theorem for matrices of operators2
Distinct eigenvalues are realizable with generic eigenvectors2
Sampling expansions associated with quaternion difference equations2
Inseparable Gershgorin discs and the existence of conjugate complex eigenvalues of real matrices2
On the extreme eigenvalues and asymptotic conditioning of a class of Toeplitz matrix-sequences arising from fractional problems2
The projection m -weak group inverse2
Exposedness of elementary positive maps between matrix algebras2
Sharp lower bounds for the Laplacian Estrada index of graphs2
On the two-sided removal and cancellation properties associated with selfadjoint operators2
Approximating the closest structured singular matrix polynomial2
On computing HITS ExpertRank via lumping the hub matrix2
A quadratic operator equation and a non-commutative uncertainty relation2
Matrices with rotation and/or reflection invariant higher rank numerical ranges2
Generalized Drazin-meromorphic invertible operators and Browder type theorems2
A new approach to MacMahon’s Partition Analysis and associated applications2
On determinants involving tangent functions2
Inequalities for products of singular values of matrices2
Divisibility among power matrices associated with multiplicative functions2
A generalization of core-nilpotent endomorphisms in infinite-dimensional vector spaces2
Spectral extremal problem of the p th power of cycles2
Perturbations of tempered spectra2
Commutator widths of general linear groups over local rings2
Fixed point groups of involutions of type O(q, k ) over a field of characteristic two2
Nilpotent linear spaces in M 4 ( F )2
A note on numerical ranges of tensors2
Preservers of of pseudospectra of matrix skew products2
Bialternant formula for Schur polynomials with repeating variables2
A study of local symmetry of Birkhoff–James orthogonality in Banach spaces2
r -invertible matrices over commutative semirings2
Approximating the phi-function action on linear combinations of Krylov bases2
Linear operators and construction of symmetric symbols satisfying sum rules of order p2
The normalized Laplacian spectrum of n -polygon graphs and applications2
Diameter of the BJ -orthograph in finite-dimensional C *-algebras2
The Moore–Penrose inverses of unbounded closable operators and the direct sum of closed operators in Hilbert spaces2
Conjugate phase retrieval on general Hilbert spaces1
Multiplicative and additive compounds via Kronecker products and Kronecker sums1
A characterization of state transfer on double subdivided stars1
The Wasserstein mean of unipotent matrices1
On perturbation bounds of generalized core inverses of matrices1
C -normality of rank-one perturbations of normal operators1
Invertible perturbations of essential spectra for upper triangular relation matrices1
Dominating sets for uniform subset graphs1
Weighted Reed–Solomon convolutional codes1
On the second largest adjacency eigenvalue of trees with given diameter1
Jordan product and analytic core preservers1
Comparison theorems for splittings of different M-tensors1
The r -equilibrium problem1
The polar decomposition of the product of three operators1
On the Seidel Estrada index of graphs1
GIBS: a general and efficient iterative method for computing the approximate inverse and Moore–Penrose inverse of sparse matrices based on the Schultz iterative method with applications1
Perturbations of gaps in the essential spectra of self-adjoint relations1
The quantum Ramsey numbers QR (2, k )1
Comment on “Structured backward errors for block three-by-three saddle point systems”1
Another proof of a result on the doubly superstochastic matrices1
Generalized Paley graphs equienergetic with their complements1
One sided star and core orthogonality of matrices1
Eigenvalues of zero-divisor graphs, Catalan numbers, and a decomposition of eigenspaces1
Schur decomposition of several matrices1
Local automorphisms of complex solvable Lie algebras of maximal rank1
Spectral radii of arithmetical structures on cycle graphs1
A new almost convergent sequence space defined by Schröder matrix1
Norm inequalities for positive definite matrices related to a question of Bourin1
Solutions of the Yang–Baxter–like matrix equation with 3×3 diagonalizable coefficient matrix1
Spectral characterization of threshold graphs by distance Laplacian matrices1
Two-step Noda iteration for irreducible nonnegative matrices1
Left and right power-EP matrices1
The generating graph of dicyclic groups1
Computing a compact local Smith–McMillan form1
On the existence of extremal solutions for the conjugate discrete-time Riccati equation1
Minimal degenerations of orbits of skew-symmetric matrix pencils1
On the eigenvectors of generalized circulant matrices1
Maps commuting with the λ -Aluthge transform for the semistar Jordan product1
Order and spectrum preserving maps in AW *-algebras1
Joint paranormality: bridging the gap between hyponormal and normaloid tuples1
Metrics related to oscillator algebras1
On the sequence spaces involving bell numbers1
Some inequalities for spectral geometric mean with applications1
Theoretical error estimates for computing the matrix logarithm by Padé-type approximants1
Further generalized numerical radius inequalities for Hilbert space operators1
Fixed points of doubly stochastic operators with application to Markov chains1
Injective envelopes for locally C *-algebras*1
Non-exposed polyhedral faces of the completely positive cone1
The equation XAX=B with B skew-symmetric: how much of a bilinear form is skew-symmetric?1
On the minimum number of eigenvalues of trees of diameter seven1
Existence and uniqueness of solutions for Leontief's Input–Output Model, graph theory and sensitivity analysis1
On geometric circulant matrices with geometric sequence1
Investigation for the k -analogue of τ -Gauss hypergeometric matrix functions and associated fractional ca1
Power-product matrix: nonsingularity, sparsity and determinant1
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
On supmodular matrices1
Operator spectral geometric versus geometric mean1
Perturbation properties of the generalized spectral radius1
Laplacian eigenvalue distribution, diameter and domination number of trees1
A construction of non-isomorphic polyhedral cones using Lyapunov rank1
New inequalities for permanents and hafnians and some generalizations1
The images of multilinear and semihomogeneous polynomials on the algebra of octonions1
On an analogue of a property of singular M -matrices for the Lyapunov and Stein operators1
Weighted G- (B,C) inverses1
Visualization for Petrov's odd unitary group1
Refined von Neumann-type trace inequality and its application1
Additive properties and absorption laws for generalized inverses1
A unified criterion for distinguishing graphs by their spectral radius1
A certain decomposition of infinite invertible matrices over division algebras1
The generalized Banach sequence spaces and their dual spaces based on permutation symmetric gauge norms1
The alternative Heinz means of matrices1
Chow's theorem for Hilbert Grassmannians as a Wigner-type theorem1
Ever-reaching probabilities and mean first passage times of higher order ergodic Markov chains1
The eigenvectors-eigenvalues identity and Sun's conjectures on determinants and permanents1
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
Some quantum MDS codes from GRS codes1
Derivations, 2-local derivations and biderivations of the Euclidean Lie algebra and their applications1
Inequalities and limits of weighted spectral geometric mean1
On the best coapproximation problem in ℓ1n,1
An analogue of the relationship between SVD and pseudoinverse over double-complex matrices1
Dual core-EP generalized inverse and a new decomposition1
A face of the polytope of doubly stochastic matrices1
Inner product inequalities with applications1
Trace maximization algorithm for the approximate tensor diagonalization1
Upper and lower bounds for the solution of the Lyapunov matrix differential equation1
Unified approach to reciprocal matrices with Kippenhahn curves containing elliptical components1
Bounds for the Perron root of positive matrices1
Construction of infinite frames with some given redundancy1
On convergence of Jacobi–Davidson method for solving Hermitian generalized eigenvalue problems1
Characterizing matrices with eigenvalues in an LMI region: a dissipative-Hamiltonian approach1
On affine spaces of alternating matrices with constant rank1
Rescaled ♮ α -Rényi divergences of all real orders1
Perfect state transfer on semi-Cayley graphs over abelian groups1
Mixed singular value and phase majorization inequalities for accretive matrices1
The Jordan algebraic structure of the rotated quadratic cone1
A novel structure-preserving algorithm for the singular value decomposition of biquaternion matrices1
Bounded rank perturbations of matrix pencils without nontrivial invariant factors1
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