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 2021-06-01 to 2025-06-01.)
ArticleCitations
Principal angles and pairs of totally geodesic submanifolds of the real hyperbolic space26
Hadamard product and related inequalities in the Jordan spin algebra19
The minimum number of multiplicity 1 eigenvalues among real symmetric matrices whose graph is a 2-linear tree19
The q-derivative formula and determinant identities18
Square roots of complex symmetric operators15
Matrices over commutative rings as sums of higher powers14
Local derivations on the Lie algebra W (2, 2)13
Scaffoldings of totally positive matrices and line insertion12
The incomplete matrix beta function and its application to first Appell hypergeometric matrix function12
Some properties of c-K-g-frames in Hilbert C*-modules12
A decomposition of matrix-valued H 2 -functions11
Forms of biisometric operators and biorthogonality11
On a question of Bhatia, Friedland and Jain II10
Exponential stability of switched block triangular systems under arbitrary switching10
Fredholm theory on Krein spaces and its application to pseudospectrum9
On simple evolution algebras of dimension two and three. Constructing simple and semisimple evolution algebras9
On subdirect sums of Nekrasov matrices8
On the spectral radius and the energy of eccentricity matrices of graphs8
Quasi-radial operators on the Fock space and C* -algebras of entire functions8
Symmetric perimeters of completely positive Boolean matrices and their preservers8
On the signless Laplacian spectrum of k -uniform hypergraphs8
Structured strong linearizations of structured rational matrices8
New backward error bounds of Rayleigh–Ritz projection methods for quadratic eigenvalue problem8
The Ihara expression of a generalization of the weighted zeta function on a finite digraph7
The tan Θ theorem for definite matrix pairs7
Characterizations of Lie centralizers of triangular algebras7
Almost full rank matrices arising from transitive tournaments7
Towards a classification of incomplete Gabor POVMs in ℂ d 7
Formulas for the eigendiscriminants of ternary and quaternary forms7
The -positive semidefinite matrices A such that are nonsingular7
A strict inequality on the energy of edge partitioning of graphs7
Finsler geometries on strictly accretive matrices6
On the numerical index of the real two-dimensional L p space6
On 6× 6 complex Hadamard matrices containing two nonintersecting identical 3× 3 submatrices6
An efficient approach for enclosing the solution set of the interval coupled Sylvester matrix equations6
On exp(Der(E)) of nilpotent evolution algebras of maximal nilindex6
A new invariant for cyclic orbit flag codes6
Real Schur norms and Hadamard matrices6
Some classes of nonsingular tensors and application6
Existence of flipped orthogonal conjugate symmetric Jordan canonical bases for real H -selfadjoint matrices6
Unitary equivalences for k -circulant operator matrices with applications5
Countably many asymptotic tensor ranks5
Further results on weighted core inverse in a ring5
Representations of the weighted WG inverse and a rank equation's solution5
Spectral theory of weighted hypergraphs via tensors5
Some applications of eigenvalues of unitary Cayley graphs of matrix rings over finite fields5
Graphs with the minimal Laplacian coefficients5
A Kantorovich type inequality for positive matrices5
On the spectral radius of the adjacency matrix and signless Laplacian matrix of a graph5
On singular pencils with commuting coefficients5
On resistance matrices of weighted balanced digraphs5
Chollet's permanent conjecture for 4 × 4 matrices4
Leibniz algebras and graphs4
Numerical range of quaternionic right linear bounded operators4
Quaternionic essential numerical range of complex operators4
Joint numerical radius distance preservers on C *-algebras4
Variable-parameter HSS methods for non-Hermitian positive definite linear systems4
-(bi)derivations and transposed Poisson algebra structures on Lie algebras4
Proof of a conjecture on the determinant of the walk matrix of rooted product with a path4
Coherence invariant maps on order-3 symmetric tensors4
Quantum injectivity of g-frames in finite dimensions4
Davis-Wielandt radius inequalities for off-diagonal operator matrices4
LCP of matrix product codes4
Modified CRI iteration methods for complex symmetric indefinite linear systems4
Signed graphs whose all Laplacian eigenvalues are main4
On the solution of the Yang–Baxter–like operator equation on Hilbert spaces4
Characterization of C-symmetric Toeplitz operators for a class of conjugations in Hardy spaces4
Inequalities for partial determinants of positive semidefinite block matrices4
Non-weight modules over a Schrödinger-Virasoro type algebra4
G-Drazin inverse combined with inner inverse4
Maximal border subrank tensors4
New multiplicative perturbation bounds on orthogonal projection4
Some notes on the energy of graphs with loops4
Characterization of matrices satisfying the reverse order law for the Moore–Penrose pseudoinverse4
Nice operators and nice spaces4
CFI upper triangular operator matrices3
The capability and certain functors of some nilpotent lie algebras of class two3
2-Local derivations on the Schrödinger-Virasoro algebra3
The inverse of the incidence matrix of a unicyclic graph3
Bott-Duffin group inverse3
Inseparable Gershgorin discs and the existence of conjugate complex eigenvalues of real matrices3
Further results on strongly core orthogonal matrix3
2-connected graphs with the minimum algebraic connectivity3
Euclidean and circum-Euclidean distance matrices: characterizations and interlacing property3
Exposedness of elementary positive maps between matrix algebras3
L-structure least squares solutions of generalized reduced biquaternion matrix equations with applications3
A-numerical radius and A-norm inequalities for semi-Hilbertian space operators3
The semi-Fredholmness and property (ω) for 2×2 upper triangular operator matrices3
On commutators of idempotents3
On graphs with strong anti-reciprocal eigenvalue property3
New unitary equivalences for some operator matrices with applications3
On decomposition of left-right Atkinson linear relations and related classes3
Preservers of the cp-rank3
High relative accuracy for rational q-Bernstein–Vandermonde matrices3
Spectral properties of linear operators on a Hilbert space3
On the extreme eigenvalues and asymptotic conditioning of a class of Toeplitz matrix-sequences arising from fractional problems3
On a norming property of subspaces of a Banach space and some applications3
Norm and numerical radius inequalities for operator matrices3
New characterizations and representations of the generalized Bott–Duffin inverse and its applications3
Advancements in the generalization of m -isometries: introducing the q -partial-( m, A )-isometry class3
Algebraic technique for mixed least squares and total least squares problem in the reduced biquaternion algebra3
A metric function for dual quaternion matrices and related least-squares problems3
Preservers of of pseudospectra of matrix skew products3
On the closure of absolutely norm attaining operators3
Weak core inverses and pseudo core inverses in a ring with involution3
Reverse Wiener spectral radius of trees3
Sum of two strictly n -zero matrices3
Rings over which matrices are products of q-potents3
On computing HITS ExpertRank via lumping the hub matrix3
Nearest linearly structured polynomial matrix with some prescribed distinct eigenvalues3
Linear operators and construction of symmetric symbols satisfying sum rules of order p3
Spectrum of banach valued holomorphic functions and polar sets3
Diameter of the BJ -orthograph in finite-dimensional C *-algebras3
An orthogonality relation in complex normed spaces based on norm derivatives3
Correction3
Bialternant formula for Schur polynomials with repeating variables3
Weighted generalized core–EP inverse2
Metrics related to oscillator algebras2
Fixed points of doubly stochastic operators with application to Markov chains2
Identifiability for the k-secant variety of the Segre-Veronese varieties2
A study of local symmetry of Birkhoff–James orthogonality in Banach spaces2
A face of the polytope of doubly stochastic matrices2
Commuting maps on idempotents and functional identities on finite subsets of fields2
Approximation by modified q-Gamma type operators via A-statistical convergence and power series method2
A certain decomposition of infinite invertible matrices over division algebras2
A quadratic operator equation and a non-commutative uncertainty relation2
On the best coapproximation problem in ℓ1n,2
A generalized Wigner–Yanase skew information2
Increasable doubly substochastic matrices with application to infinite linear equations2
q-Numerical radius inequalities for Hilbert space2
The projection m -weak group inverse2
Approximating the closest structured singular matrix polynomial2
Distinct eigenvalues are realizable with generic eigenvectors2
Classification of graphs by Laplacian eigenvalue distribution and independence number2
On determinants involving tangent functions2
Maximal numerical range of tensor product of two operators2
Some quantum MDS codes from GRS codes2
Sampling expansions associated with quaternion difference equations2
The Moore–Penrose inverses of unbounded closable operators and the direct sum of closed operators in Hilbert spaces2
Divisibility among power matrices associated with multiplicative functions2
Comparison theorems for splittings of different M-tensors2
On tetracyclic graphs having minimum energies2
Some properties of the q -numerical radius2
Sharp lower bounds for the Laplacian Estrada index of graphs2
The spanning k-trees, perfect matchings and spectral radius of graphs2
On geometric circulant matrices with geometric sequence2
Nonlinear maps preserving similarity on B(X)2
On some tensor inequalities based on the t-product2
From norm derivatives to orthogonalities in Hilbert C*-modules2
Competition periods of multipartite tournaments2
Derivations of triangular matrix rings2
Fixed point groups of involutions of type O(q, k ) over a field of characteristic two2
Representations and geometrical properties of generalized inverses over fields2
Fredholm theory in quaternionic Banach algebras2
On G -majorization inequalities for gradients of G -increasing functions2
Orthogonality over finite fields2
The generalized Brauer–Ostrowski theorem for matrices of operators2
Inequalities for products of singular values of matrices2
Extremal marginals of an unbounded local completely positive and local completely contractive map2
The set of stable indices of 0–1 matrices with a given order2
Decay estimates of Green's matrices for discrete-time linear periodic systems2
Strong commutativity preserving maps on rank k strictly triangular matrices2
Perturbations of tempered spectra2
A note on numerical ranges of tensors2
Modulus-based inexact non-alternating preconditioned splitting method for linear complementarity problems2
Products of generalized n -projections2
The equation XAX=B with B skew-symmetric: how much of a bilinear form is skew-symmetric?2
Complex skew-symmetric conference matrices2
On the spectrum of fractional difference operator2
On the Seidel Estrada index of graphs2
A new approach to MacMahon’s Partition Analysis and associated applications2
On von Neumann algebras consisting of complex symmetric operators2
On the two-sided removal and cancellation properties associated with selfadjoint operators2
Upper and lower bounds for the solution of the Lyapunov matrix differential equation2
The Berkani's property and a note on some recent results2
The normalized Laplacian spectrum of n -polygon graphs and applications2
The spectra of graphs based on general graph operations2
Poisson triple systems2
Generalized Locally Toeplitz matrix-sequences and approximated PDEs on submanifolds: the flat case2
Endomorphisms of the riordan group, some new facts2
Transformations preserving the effective spectral radius of a matrix2
Generalized Drazin-meromorphic invertible operators and Browder type theorems2
Lieb type convexity for positive operator monotone decreasing functions2
On a question of Erdős on doubly stochastic matrices2
A new almost convergent sequence space defined by Schröder matrix1
Some inequalities for spectral geometric mean with applications1
Norm inequalities for positive definite matrices related to a question of Bourin1
When does ‖f(A)‖ = f(‖A‖) hold true?1
One-sided w-core inverses in rings with an involution1
Generalized matricial ranges and positive definiteness1
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
A characterization of state transfer on double subdivided stars1
The images of multilinear and semihomogeneous polynomials on the algebra of octonions1
A note on the class of weighted graphs with strong anti-reciprocal eigenvalue property1
On the smallest eigenvalue of Dα-matrix of connected graphs1
AE and EA versions of X -robustness for interval circulant matrices in max–min algebra1
New inequalities for permanents and hafnians and some generalizations1
Weighted Reed–Solomon convolutional codes1
Norm-preserving dilation theorems for a block positive semidefinite (definite) matrix1
Local automorphisms of complex solvable Lie algebras of maximal rank1
Building homotheties through pinches1
Power-product matrix: nonsingularity, sparsity and determinant1
Separability of Hermitian tensors and PSD decompositions1
Ever-reaching probabilities and mean first passage times of higher order ergodic Markov chains1
Unified approach to reciprocal matrices with Kippenhahn curves containing elliptical components1
Existence and uniqueness of solutions for Leontief's Input–Output Model, graph theory and sensitivity analysis1
Entries of the bottleneck matrices of maximal outerplanar graphs1
Higher order ergodic Markov chains and first passage times1
Perturbations of gaps in the essential spectra of self-adjoint relations1
On the inverse of unicyclic 3-coloured digraphs1
Dominating sets for uniform subset graphs1
A note on von Neumann regular matrices1
The Jordan algebraic structure of the rotated quadratic cone1
A note on -gradings on the Grassmann algebra and elementary number theory1
Laplacian eigenvalue distribution, diameter and domination number of trees1
Enumeration of spanning trees of middle digraphs1
Independence and orthogonality of algebraic eigenvectors over the max-plus algebra1
One sided star and core orthogonality of matrices1
Super-biderivations on the super Heisenberg-Virasoro algebra1
Theoretical error estimates for computing the matrix logarithm by Padé-type approximants1
Computing a compact local Smith–McMillan form1
Mixed singular value and phase majorization inequalities for accretive matrices1
On supmodular matrices1
An analogue of the relationship between SVD and pseudoinverse over double-complex matrices1
Trace maximization algorithm for the approximate tensor diagonalization1
On the second largest adjacency eigenvalue of trees with given diameter1
Chain graph sequences and Laplacian spectra of chain graphs1
Characterizations of the harmonious pairs of projections on a Hilbert C*-module1
Inequalities and limits of weighted spectral geometric mean1
On the eigenvectors of generalized circulant matrices1
Chow's theorem for Hilbert Grassmannians as a Wigner-type theorem1
Another proof of a result on the doubly superstochastic matrices1
On the pseudo-spectra and the related properties of infinite-dimensional Hamiltonian operators1
A new version of Schur–Horn type theorem1
Bounded rank perturbations of matrix pencils without nontrivial invariant factors1
The eigenvectors-eigenvalues identity and Sun's conjectures on determinants and permanents1
Improvements on some partial trace inequalities for positive semidefinite block matrices1
C -normality of rank-one perturbations of normal operators1
The p-norm of circulant matrices1
Joint paranormality: bridging the gap between hyponormal and normaloid tuples1
Investigation for the k -analogue of τ -Gauss hypergeometric matrix functions and associated fractional calculus1
Cayley graphs of dihedral groups having perfect edge state transfer1
Conjugate phase retrieval on general Hilbert spaces1
Orthogonality Hilbert ????-modules and operators preserving multi-????-linearity1
On the sequence spaces involving bell numbers1
Two-step Noda iteration for irreducible nonnegative matrices1
Inner product inequalities with applications1
On analytic structure of weighted shifts on generalized directed semi-trees1
Approximate orthogonality in complex normed spaces: a directional approach1
Visualization for Petrov's odd unitary group1
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