Linear & Multilinear Algebra

Article	Citations
Scaffoldings of totally positive matrices and line insertion	21
Hadamard product and related inequalities in the Jordan spin algebra	20
The minimum number of multiplicity 1 eigenvalues among real symmetric matrices whose graph is a 2-linear tree	20
The q-derivative formula and determinant identities	16
Square roots of complex symmetric operators	14
Matrices over commutative rings as sums of higher powers	13
The incomplete matrix beta function and its application to first Appell hypergeometric matrix function	12
Forms of biisometric operators and biorthogonality	11
On a question of Bhatia, Friedland and Jain II	11
Weyl-type theorems for hypercyclic and supercyclic operators	11
Exponential stability of switched block triangular systems under arbitrary switching	11
Some properties of c-K-g-frames in Hilbert C*-modules	11
Fredholm theory on Krein spaces and its application to pseudospectrum	11
On the signless Laplacian spectrum of k -uniform hypergraphs	10
On subdirect sums of Nekrasov matrices	10
A decomposition of matrix-valued H 2 -functions	10
On special H -matrices based on Beauwens condition	9
Quasi-radial operators on the Fock space and C* -algebras of entire functions	9
New backward error bounds of Rayleigh–Ritz projection methods for quadratic eigenvalue problem	9
On simple evolution algebras of dimension two and three. Constructing simple and semisimple evolution algebras	8
A strict inequality on the energy of edge partitioning of graphs	8
Local derivations on the Lie algebra W (2, 2)	8
Almost full rank matrices arising from transitive tournaments	8
Formulas for the eigendiscriminants of ternary and quaternary forms	8
The tan Θ theorem for definite matrix pairs	8

Existence of flipped orthogonal conjugate symmetric Jordan canonical bases for real H -selfadjoint matrices	7
An efficient approach for enclosing the solution set of the interval coupled Sylvester matrix equations	7
The Ihara expression of a generalization of the weighted zeta function on a finite digraph	7
A new invariant for cyclic orbit flag codes	6
Characterizations of Lie centralizers of triangular algebras	6
Pseudospectral mapping theorem for quaternionic operators	6
On exp(Der(E)) of nilpotent evolution algebras of maximal nilindex	6
Some applications of eigenvalues of unitary Cayley graphs of matrix rings over finite fields	6
Countably many asymptotic tensor ranks	6
Symmetric perimeters of completely positive Boolean matrices and their preservers	6
Some classes of nonsingular tensors and application	5
Spectral theory of weighted hypergraphs via tensors	5
Further results on weighted core inverse in a ring	5
On the solution of the Yang–Baxter–like operator equation on Hilbert spaces	5
A Kantorovich type inequality for positive matrices	5
Real Schur norms and Hadamard matrices	5
Further properties and representations of the W -weighted m -weak group inverse	5
On singular pencils with commuting coefficients	5
Characterization of C-symmetric Toeplitz operators for a class of conjugations in Hardy spaces	5
Leibniz algebras and graphs	5
The -positive semidefinite matrices A such that are nonsingular	5
On the numerical index of the real two-dimensional L p space	5
Unitary equivalences for k -circulant operator matrices with applications	5
Graphs with the minimal Laplacian coefficients	5
Quantum injectivity of g-frames in finite dimensions	5
Davis-Wielandt radius inequalities for off-diagonal operator matrices	4
Chollet's permanent conjecture for 4 × 4 matrices	4
Coherence invariant maps on order-3 symmetric tensors	4
On resistance matrices of weighted balanced digraphs	4
On binary relation of dual core generalized inverses	4
Inequalities for partial determinants of positive semidefinite block matrices	4
On the closure of absolutely norm attaining operators	4
Sum of two strictly n -zero matrices	4
Further results on strongly core orthogonal matrix	4
On Sinkhorn's DAD theorem and the self-consistency equation in COSMO-based activity coefficient models	4
New multiplicative perturbation bounds on orthogonal projection	4
Operator radius inequalities for Hilbert space operators	4
Characterization of matrices satisfying the reverse order law for the Moore–Penrose pseudoinverse	4
Nice operators and nice spaces	4
Maximal border subrank tensors	4
An orthogonality relation in complex normed spaces based on norm derivatives	4
On decomposition of left-right Atkinson linear relations and related classes	4
Some notes on the energy of graphs with loops	4
G-Drazin inverse combined with inner inverse	4
Joint numerical radius distance preservers on C *-algebras	4
Representations of the weighted WG inverse and a rank equation's solution	4
Proof of a conjecture on the determinant of the walk matrix of rooted product with a path	4
Quaternionic essential numerical range of complex operators	4
Signed graphs whose all Laplacian eigenvalues are main	4
On commutators of idempotents	4

New unitary equivalences for some operator matrices with applications	4
Modified CRI iteration methods for complex symmetric indefinite linear systems	4
Non-weight modules over a Schrödinger-Virasoro type algebra	4
Norm and numerical radius inequalities for operator matrices	3
From norm derivatives to orthogonalities in Hilbert C*-modules	3
Correction	3
The inverse of the incidence matrix of a unicyclic graph	3
On computing HITS ExpertRank via lumping the hub matrix	3
Reverse Wiener spectral radius of trees	3
Algebraic technique for mixed least squares and total least squares problem in the reduced biquaternion algebra	3
High relative accuracy for rational q-Bernstein–Vandermonde matrices	3
Bialternant formula for Schur polynomials with repeating variables	3
Endomorphisms of the riordan group, some new facts	3
New characterizations and representations of the generalized Bott–Duffin inverse and its applications	3
r -invertible matrices over commutative semirings	3
Characterization of graphs whose Laplacian eigenvalue 1 has multiplicity 2 c ( G ) +	3
On the extreme eigenvalues and asymptotic conditioning of a class of Toeplitz matrix-sequences arising from fractional problems	3
Inseparable Gershgorin discs and the existence of conjugate complex eigenvalues of real matrices	3
CFI upper triangular operator matrices	3
On a norming property of subspaces of a Banach space and some applications	3
Spectral properties of linear operators on a Hilbert space	3
Euclidean and circum-Euclidean distance matrices: characterizations and interlacing property	3
The semi-Fredholmness and property (ω) for 2×2 upper triangular operator matrices	3
Preservers of of pseudospectra of matrix skew products	3
Linear operators and construction of symmetric symbols satisfying sum rules of order p	3
A metric function for dual quaternion matrices and related least-squares problems	3
Lieb type convexity for positive operator monotone decreasing functions	3
A generalized Wigner–Yanase skew information	3
On the two-sided removal and cancellation properties associated with selfadjoint operators	3
Matrices with rotation and/or reflection invariant higher rank numerical ranges	3
Diameter of the BJ -orthograph in finite-dimensional C *-algebras	3
2-Local derivations on the Schrödinger-Virasoro algebra	3
L-structure least squares solutions of generalized reduced biquaternion matrix equations with applications	3
Bott-Duffin group inverse	3
Advancements in the generalization of m -isometries: introducing the q -partial-( m, A )-isometry class	3
Nonlinear maps preserving similarity on B(X)	3
SJ -class operators and supercyclicity	3
Strong commutativity preserving maps on rank k strictly triangular matrices	3
Exposedness of elementary positive maps between matrix algebras	3
On determinants involving tangent functions	2
Classification of graphs by Laplacian eigenvalue distribution and independence number	2
Derivations of triangular matrix rings	2
Transformations preserving the effective spectral radius of a matrix	2
A new approach to MacMahon’s Partition Analysis and associated applications	2
Competition periods of multipartite tournaments	2
Fixed point groups of involutions of type O(q, k ) over a field of characteristic two	2
Nilpotent linear spaces in M 4 ( F )	2
A certain decomposition of infinite invertible matrices over division algebras	2
The quantum Ramsey numbers QR (2, k )	2
Approximating the closest structured singular matrix polynomial	2
Fredholm theory in quaternionic Banach algebras	2
Minimality of tensors of fixed multilinear rank	2
The normalized Laplacian spectrum of n -polygon graphs and applications	2
On the Seidel Estrada index of graphs	2
A quadratic operator equation and a non-commutative uncertainty relation	2
Upper and lower bounds for the solution of the Lyapunov matrix differential equation	2
A study of local symmetry of Birkhoff–James orthogonality in Banach spaces	2
Poisson triple systems	2
Distinct eigenvalues are realizable with generic eigenvectors	2
A note on numerical ranges of tensors	2
q-Numerical radius inequalities for Hilbert space	2
Some properties of the q -numerical radius	2
Extremal marginals of an unbounded local completely positive and local completely contractive map	2
On a question of Erdős on doubly stochastic matrices	2
Commuting maps on idempotents and functional identities on finite subsets of fields	2
Perturbations of tempered spectra	2
On some tensor inequalities based on the t-product	2
The projection m -weak group inverse	2
Generalized Locally Toeplitz matrix-sequences and approximated PDEs on submanifolds: the flat case	2
Generalized Paley graphs equienergetic with their complements	2
Approximating the phi-function action on linear combinations of Krylov bases	2
Construction of infinite frames with some given redundancy	2
Generalized Drazin-meromorphic invertible operators and Browder type theorems	2
On the best coapproximation problem in ℓ1n,	2
Decay estimates of Green's matrices for discrete-time linear periodic systems	2
Some quantum MDS codes from GRS codes	2
Sampling expansions associated with quaternion difference equations	2
Comparison theorems for splittings of different M-tensors	2
Commutator widths of general linear groups over local rings	2
Divisibility among power matrices associated with multiplicative functions	2

Maximal numerical range of tensor product of two operators	2
A generalization of core-nilpotent endomorphisms in infinite-dimensional vector spaces	2
Inequalities for products of singular values of matrices	2
Metrics related to oscillator algebras	2
The generalized Brauer–Ostrowski theorem for matrices of operators	2
The set of stable indices of 0–1 matrices with a given order	2
On geometric circulant matrices with geometric sequence	2
On von Neumann algebras consisting of complex symmetric operators	2
Weighted generalized core–EP inverse	2
A face of the polytope of doubly stochastic matrices	2
The Moore–Penrose inverses of unbounded closable operators and the direct sum of closed operators in Hilbert spaces	2
The equation X⊤AX=B with B skew-symmetric: how much of a bilinear form is skew-symmetric?	2
Sharp lower bounds for the Laplacian Estrada index of graphs	2
Fixed points of doubly stochastic operators with application to Markov chains	2
The spectra of graphs based on general graph operations	2
Invariant cones for actions of semigroups in Sl( d , ℝ) and controllability of bilinear control systems	2
Injective envelopes for locally C *-algebras*	1
The alternative Heinz means of matrices	1
A note on von Neumann regular matrices	1
Theoretical error estimates for computing the matrix logarithm by Padé-type approximants	1
C *-module operators which satisfy the generalized Cauchy–Schwarz type inequality	1
The core-EP inverse: a numerical approach for its acute perturbation	1
The r -equilibrium problem	1
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
Bottleneck matrices of maximal outerplanar graphs with isomorphic underlying trees	1
Existence and uniqueness of solutions for Leontief's Input–Output Model, graph theory and sensitivity analysis	1
On analytic structure of weighted shifts on generalized directed semi-trees	1
On the sequence spaces involving bell numbers	1
Entries of the bottleneck matrices of maximal outerplanar graphs	1
Dominating sets for uniform subset graphs	1
Perturbation properties of the generalized spectral radius	1
Power-product matrix: nonsingularity, sparsity and determinant	1
Chain graph sequences and Laplacian spectra of chain graphs	1
Spectral characterization of threshold graphs by distance Laplacian matrices	1
Visualization for Petrov's odd unitary group	1
Bounded rank perturbations of matrix pencils without nontrivial invariant factors	1
Norm inequalities for positive definite matrices related to a question of Bourin	1
A characterization of state transfer on double subdivided stars	1
The Jordan algebraic structure of the rotated quadratic cone	1
Generalized matricial ranges and positive definiteness	1
Weighted Reed–Solomon convolutional codes	1
Independence and orthogonality of algebraic eigenvectors over the max-plus algebra	1
The images of multilinear and semihomogeneous polynomials on the algebra of octonions	1
Asymptotics of product of nonnegative 2-by-2 matrices with applications to random walks with asymptotically zero drifts	1
Derivations, 2-local derivations and biderivations of the Euclidean Lie algebra and their applications	1
Matrix tree theorem for the net Laplacian matrix of a signed graph	1
Nodal domain theorems of signed hypergraphs	1
On the second largest adjacency eigenvalue of trees with given diameter	1
New results on subdirect sums of Nekrasov matrices	1
Lie triple centralizers of the algebra of dominant block upper triangular matrices	1
The Wasserstein mean of unipotent matrices	1
Spherical Aluthge transform, spherical p and log -hyponormality of commuting pairs of operators II	1
Extremal realization spectra by two acyclic matrices whose graphs are caterpillars	1
AE and EA versions of X -robustness for interval circulant matrices in max–min algebra	1
The generalized Banach sequence spaces and their dual spaces based on permutation symmetric gauge norms	1
An analogue of the relationship between SVD and pseudoinverse over double-complex matrices	1
Local automorphisms of complex solvable Lie algebras of maximal rank	1
On affine spaces of alternating matrices with constant rank	1
The eigenvectors-eigenvalues identity and Sun's conjectures on determinants and permanents	1
New inequalities for permanents and hafnians and some generalizations	1
Investigation for the k -analogue of τ -Gauss hypergeometric matrix functions and associated fractional calculus	1
Order and spectrum preserving maps in AW *-algebras	1
Rescaled ♮ α -Rényi divergences of all real orders	1
Roundoff-error-free QR factorization via integer-preserving Gram Schmidt orthogonalization	1
C -normality of rank-one perturbations of normal operators	1
Improvements on some partial trace inequalities for positive semidefinite block matrices	1
On convergence of Jacobi–Davidson method for solving Hermitian generalized eigenvalue problems	1
One sided star and core orthogonality of matrices	1
The high order spectrum of a graph and its applications in graph colouring and clique counting	1
Upper bounds for the Euclidean spectral radius of operators via joint norms	1
Inner product inequalities with applications	1
On interlacing of net-Laplacian and normalized net-Laplacian eigenvalues of signed graphs	1
The distance spectral radius of k -uniform hypertrees with given number of vertices of maximum degree	1
Unified approach to reciprocal matrices with Kippenhahn curves containing elliptical components	1
On the interaction of generalized inverse and matrix decomposition using B-T inverse	1
Fields of invariants for unipotent radicals of parabolic subgroups	1
Refined von Neumann-type trace inequality and its application	1
Improved uniqueness conditions of solution for multilinear pagerank and its application	1
Trace maximization algorithm for the approximate tensor diagonalization	1
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 applications	1
Approximate orthogonality in complex normed spaces: a directional approach	1
Schur decomposition of several matrices	1
Another proof of a result on the doubly superstochastic matrices	1
One-sided w-core inverses in rings with an involution	1
A new almost convergent sequence space defined by Schröder matrix	1
Conjugate phase retrieval on general Hilbert spaces	1
Mixed singular value and phase majorization inequalities for accretive matrices	1
Computing a compact local Smith–McMillan form	1
Weighted G- (B,C) inverses	1
Two-step Noda iteration for irreducible nonnegative matrices	1
Joint paranormality: bridging the gap between hyponormal and normaloid tuples	1
Laplacian eigenvalue distribution, diameter and domination number of trees	1
A note on -gradings on the Grassmann algebra and elementary number theory	1
On supmodular matrices	1
The Beurling degree of inner matrix functions	1