Linear & Multilinear Algebra

Article	Citations
Scaffoldings of totally positive matrices and line insertion	25
Hadamard product and related inequalities in the Jordan spin algebra	21
The q-derivative formula and determinant identities	16
Square roots of complex symmetric operators	15
The incomplete matrix beta function and its application to first Appell hypergeometric matrix function	14
Matrices over commutative rings as sums of higher powers	14
Exponential stability of switched block triangular systems under arbitrary switching	12
On the signless Laplacian spectrum of k -uniform hypergraphs	12
New backward error bounds of Rayleigh–Ritz projection methods for quadratic eigenvalue problem	11
Weyl-type theorems for hypercyclic and supercyclic operators	11
On special H -matrices based on Beauwens condition	11
On a question of Bhatia, Friedland and Jain II	11
A decomposition of matrix-valued H 2 -functions	10
Quasi-radial operators on the Fock space and C* -algebras of entire functions	10
Essential connectivity and spectral radius of graphs	9
On simple evolution algebras of dimension two and three. Constructing simple and semisimple evolution algebras	9
Some inequalities for bounds of joint δ -numerical radius and joint δ -Crawford number functions	9
Fredholm theory on Krein spaces and its application to pseudospectrum	9
On subdirect sums of Nekrasov matrices	8
On semimonotone matrices of exact order two	8
Forms of biisometric operators and biorthogonality	8
Local derivations on the Lie algebra W (2, 2)	8
The Ihara expression of a generalization of the weighted zeta function on a finite digraph	7
Almost full rank matrices arising from transitive tournaments	7
An efficient approach for enclosing the solution set of the interval coupled Sylvester matrix equations	7

The tan Θ theorem for definite matrix pairs	7
Existence of flipped orthogonal conjugate symmetric Jordan canonical bases for real H -selfadjoint matrices	6
The -positive semidefinite matrices A such that are nonsingular	6
Symmetric perimeters of completely positive Boolean matrices and their preservers	6
On exp(Der(E)) of nilpotent evolution algebras of maximal nilindex	6
Countably many asymptotic tensor ranks	6
Some applications of eigenvalues of unitary Cayley graphs of matrix rings over finite fields	6
Real Schur norms and Hadamard matrices	5
A new invariant for cyclic orbit flag codes	5
Unitary equivalences for k -circulant operator matrices with applications	5
A Kantorovich type inequality for positive matrices	5
Characterizations of Lie centralizers of triangular algebras	5
On the numerical index of the real two-dimensional L p space	5
Further properties and representations of the W -weighted m -weak group inverse	5
The solution of the large-scale differential Sylvester matrix problems by extended nonsymmetric block Lanczos algorithm	5
Graphs with the minimal Laplacian coefficients	5
Some classes of nonsingular tensors and application	5
Pseudospectral mapping theorem for quaternionic operators	5
A strict inequality on the energy of edge partitioning of graphs	5
On singular pencils with commuting coefficients	5
On the solution of the Yang–Baxter–like operator equation on Hilbert spaces	5
Characterization of matrices satisfying the reverse order law for the Moore–Penrose pseudoinverse	4
Leibniz algebras and graphs	4
Proof of a conjecture on the determinant of the walk matrix of rooted product with a path	4
Further results on weighted core inverse in a ring	4
Quaternionic essential numerical range of complex operators	4
Non-weight modules over a Schrödinger-Virasoro type algebra	4
Chollet's permanent conjecture for 4 × 4 matrices	4
Nice operators and nice spaces	4
Quantum injectivity of g-frames in finite dimensions	4
Coherence invariant maps on order-3 symmetric tensors	4
Joint numerical radius distance preservers on C *-algebras	4
Some notes on the energy of graphs with loops	4
On binary relation of dual core generalized inverses	4
Operator radius inequalities for Hilbert space operators	4
On resistance matrices of weighted balanced digraphs	4
Characterization of C-symmetric Toeplitz operators for a class of conjugations in Hardy spaces	4
Inequalities for partial determinants of positive semidefinite block matrices	4
New multiplicative perturbation bounds on orthogonal projection	4
G-Drazin inverse combined with inner inverse	4
On Sinkhorn's DAD theorem and the self-consistency equation in COSMO-based activity coefficient models	3
Maximal border subrank tensors	3
Trigonometric determinants via special values of Dirichlet L -functions	3
Spectral properties of linear operators on a Hilbert space	3
Correction	3
Convex inequalities in Hilbert C *-modules	3
Sum of two strictly n -zero matrices	3
2-Local derivations on the Schrödinger-Virasoro algebra	3
On the closure of absolutely norm attaining operators	3
Further results on strongly core orthogonal matrix	3

On a class of functions of two non-commuting matrices: general properties, Fréchet derivatives and conditioning	3
Signed graphs whose all Laplacian eigenvalues are main	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
On commutators of idempotents	3
L-structure least squares solutions of generalized reduced biquaternion matrix equations with applications	3
On decomposition of left-right Atkinson linear relations and related classes	3
Correction	3
The matched projection and geodesics of the Grassmann manifold	3
Modified CRI iteration methods for complex symmetric indefinite linear systems	3
An orthogonality relation in complex normed spaces based on norm derivatives	3
Bott-Duffin group inverse	3
On a norming property of subspaces of a Banach space and some applications	3
New unitary equivalences for some operator matrices with applications	3
Algebraic technique for mixed least squares and total least squares problem in the reduced biquaternion algebra	3
Advancements in the generalization of m -isometries: introducing the q -partial-( m, A )-isometry class	3
Diameter of the BJ -orthograph in finite-dimensional C *-algebras	3
A certain decomposition of infinite invertible matrices over division algebras	2
Strong commutativity preserving maps on rank k strictly triangular matrices	2
A study of local symmetry of Birkhoff–James orthogonality in Banach spaces	2
Comparison theorems for splittings of different M-tensors	2
High relative accuracy for rational q-Bernstein–Vandermonde matrices	2
The generalized Brauer–Ostrowski theorem for matrices of operators	2
The generalized numerical radius of a product of operators	2
The projection m -weak group inverse	2
r -invertible matrices over commutative semirings	2
The normalized Laplacian spectrum of n -polygon graphs and applications	2
Matrices with rotation and/or reflection invariant higher rank numerical ranges	2
Commuting maps on idempotents and functional identities on finite subsets of fields	2
Extremal marginals of an unbounded local completely positive and local completely contractive map	2
Decay estimates of Green's matrices for discrete-time linear periodic systems	2
Characterizing the additive separability of operator generalized inverses	2
A note on numerical ranges of tensors	2
Inequalities for products of singular values of matrices	2
Invariant cones for actions of semigroups in Sl( d , ℝ) and controllability of bilinear control systems	2
The spectra of graphs based on general graph operations	2
Transformations preserving the effective spectral radius of a matrix	2
Commutator widths of general linear groups over local rings	2
Fixed points of doubly stochastic operators with application to Markov chains	2
On determinants involving tangent functions	2
On the two-sided removal and cancellation properties associated with selfadjoint operators	2
A face of the polytope of doubly stochastic matrices	2
Inseparable Gershgorin discs and the existence of conjugate complex eigenvalues of real matrices	2
Perturbations of tempered spectra	2
Linear operators and construction of symmetric symbols satisfying sum rules of order p	2
The set of stable indices of 0–1 matrices with a given order	2
Bialternant formula for Schur polynomials with repeating variables	2
A quadratic operator equation and a non-commutative uncertainty relation	2
Norm and numerical radius inequalities for operator matrices	2
Sampling expansions associated with quaternion difference equations	2
A bound on the rank of weighted graphs in terms of girth	2
Generalized Drazin-meromorphic invertible operators and Browder type theorems	2
Partition reduction method for norm estimation of H-matrices and their subclasses with applications in linear complementarity problems	2
A metric function for dual quaternion matrices and related least-squares problems	2
Fixed point groups of involutions of type O(q, k ) over a field of characteristic two	2
Classification of graphs by Laplacian eigenvalue distribution and independence number	2
Nilpotent linear spaces in M 4 ( F )	2
On a question of Erdős on doubly stochastic matrices	2
Endomorphisms of the riordan group, some new facts	2
Some quantum MDS codes from GRS codes	2
Distinct eigenvalues are realizable with generic eigenvectors	2
On the Seidel Estrada index of graphs	2
Spectral extremal problem of the p th power of cycles	2
SJ -class operators and supercyclicity	2
Sharp lower bounds for the Laplacian Estrada index of graphs	2
On computing HITS ExpertRank via lumping the hub matrix	2
Divisibility among power matrices associated with multiplicative functions	2
On the extreme eigenvalues and asymptotic conditioning of a class of Toeplitz matrix-sequences arising from fractional problems	2
Generalized Locally Toeplitz matrix-sequences and approximated PDEs on submanifolds: the flat case	2
Exposedness of elementary positive maps between matrix algebras	2
The Moore–Penrose inverses of unbounded closable operators and the direct sum of closed operators in Hilbert spaces	2
Characterization of graphs whose Laplacian eigenvalue 1 has multiplicity 2 c ( G ) +	2
Approximating the closest structured singular matrix polynomial	2
A new approach to MacMahon’s Partition Analysis and associated applications	2
Preservers of of pseudospectra of matrix skew products	2
Approximating the phi-function action on linear combinations of Krylov bases	2
On von Neumann algebras consisting of complex symmetric operators	2
Weighted generalized core–EP inverse	2
On limiting probability distributions of higher order Markov chains	2
A generalization of core-nilpotent endomorphisms in infinite-dimensional vector spaces	2

When is a product of EP elements again EP?	2
Metrics related to oscillator algebras	2
Maximal numerical range of tensor product of two operators	2
Some properties of the q -numerical radius	2
q-Numerical radius inequalities for Hilbert space	2
Injective envelopes for locally C *-algebras*	1
Minimal degenerations of orbits of skew-symmetric matrix pencils	1
Unified approach to reciprocal matrices with Kippenhahn curves containing elliptical components	1
Perturbations of gaps in the essential spectra of self-adjoint relations	1
On an analogue of a property of singular M -matrices for the Lyapunov and Stein operators	1
Schur decomposition of several matrices	1
Laplacian eigenvalue distribution, diameter and domination number of trees	1
Refined von Neumann-type trace inequality and its application	1
Rescaled ♮ α -Rényi divergences of all real orders	1
Solutions of the Yang–Baxter–like matrix equation with 3×3 diagonalizable coefficient matrix	1
Order and spectrum preserving maps in AW *-algebras	1
The Jordan algebraic structure of the rotated quadratic cone	1
The alternative Heinz means of matrices	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
Another proof of a result on the doubly superstochastic matrices	1
Matrix tree theorem for the net Laplacian matrix of a signed graph	1
Spectral radii of arithmetical structures on cycle graphs	1
The images of multilinear and semihomogeneous polynomials on the algebra of octonions	1
Maps commuting with the λ -Aluthge transform for the Lie Star Jordan product	1
On perturbation bounds of generalized core inverses of matrices	1
Non-exposed polyhedral faces of the completely positive cone	1
On interlacing of net-Laplacian and normalized net-Laplacian eigenvalues of signed graphs	1
Two-step Noda iteration for irreducible nonnegative matrices	1
On the eigenvectors of generalized circulant matrices	1
On geometric circulant matrices with geometric sequence	1
On the sequence spaces involving bell numbers	1
Bounds for the Perron root of positive matrices	1
Inner product inequalities with applications	1
Construction of infinite frames with some given redundancy	1
The r -equilibrium problem	1
Eigenvalues of zero-divisor graphs, Catalan numbers, and a decomposition of eigenspaces	1
On the minimum number of eigenvalues of trees of diameter seven	1
Some inequalities for spectral geometric mean with applications	1
Operator spectral geometric versus geometric mean	1
On the second largest adjacency eigenvalue of trees with given diameter	1
Further generalized numerical radius inequalities for Hilbert space operators	1
A construction of non-isomorphic polyhedral cones using Lyapunov rank	1
Perturbation properties of the generalized spectral radius	1
Existence and uniqueness of solutions for Leontief's Input–Output Model, graph theory and sensitivity analysis	1
Multiplicative and additive compounds via Kronecker products and Kronecker sums	1
Norm inequalities for positive definite matrices related to a question of Bourin	1
Maximal numerical range of the tensor product of operators in semi-Hilbertian spaces	1
New inequalities for permanents and hafnians and some generalizations	1
On supmodular matrices	1
A spectral analysis of the correlated random walk	1
On convergence of Jacobi–Davidson method for solving Hermitian generalized eigenvalue problems	1
Conjugate phase retrieval on general Hilbert spaces	1
Real representations of powers of real matrices and its applications	1
On the existence of extremal solutions for the conjugate discrete-time Riccati equation	1
Local automorphisms of complex solvable Lie algebras of maximal rank	1
Some results on the A α -eigenvalues of a graph	1
Investigation for the k -analogue of τ -Gauss hypergeometric matrix functions and associated fractional ca	1
Inequalities and equalities on the joint and generalized spectral and essential spectral radius of the Hadamard geometric mean of bounded sets of positive kernel operators	1
Barrett–Johnson inequalities for totally nonnegative matrices	1
One sided star and core orthogonality of matrices	1
Dual core-EP generalized inverse and a new decomposition	1
Upper and lower bounds for the solution of the Lyapunov matrix differential equation	1
The eigenvectors-eigenvalues identity and Sun's conjectures on determinants and permanents	1
Non-affine families of 8 x 8 complex Hadamard matrices	1
On the best coapproximation problem in ℓ1n,	1
C -normality of rank-one perturbations of normal operators	1
Maps commuting with the λ -Aluthge transform for the semistar Jordan product	1
Joint paranormality: bridging the gap between hyponormal and normaloid tuples	1
Inequalities and limits of weighted spectral geometric mean	1
On the interaction of generalized inverse and matrix decomposition using B-T inverse	1
The generalized Banach sequence spaces and their dual spaces based on permutation symmetric gauge norms	1
Trace maximization algorithm for the approximate tensor diagonalization	1
Left and right power-EP matrices	1
The generating graph of dicyclic groups	1
Weighted Reed–Solomon convolutional codes	1
Perfect state transfer on semi-Cayley graphs over abelian groups	1
Computing a compact local Smith–McMillan form	1
A novel structure-preserving algorithm for the singular value decomposition of biquaternion matrices	1
Invertible perturbations of essential spectra for upper triangular relation matrices	1
Power-product matrix: nonsingularity, sparsity and determinant	1
Constructing cospectral hypergraphs	1
Comment on “Structured backward errors for block three-by-three saddle point systems”	1
On eigenvalues of certain special matrices	1
The Lipschitz σ -nuclear operators and its dual	1
Chow's theorem for Hilbert Grassmannians as a Wigner-type theorem	1
Characterizing matrices with eigenvalues in an LMI region: a dissipative-Hamiltonian approach	1
Ever-reaching probabilities and mean first passage times of higher order ergodic Markov chains	1
Jordan product and analytic core preservers	1
The quantum Ramsey numbers QR (2, k )	1
Dominating sets for uniform subset graphs	1
The polar decomposition of the product of three operators	1
Generalized Paley graphs equienergetic with their complements	1
Theoretical error estimates for computing the matrix logarithm by Padé-type approximants	1
Derivations, 2-local derivations and biderivations of the Euclidean Lie algebra and their applications	1
The equation X⊤AX=B with B skew-symmetric: how much of a bilinear form is skew-symmetric?	1