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	19
The q-derivative formula and determinant identities	18
Square roots of complex symmetric operators	17
Matrices over commutative rings as sums of higher powers	16
On a question of Bhatia, Friedland and Jain II	13
The incomplete matrix beta function and its application to first Appell hypergeometric matrix function	13
On simple evolution algebras of dimension two and three. Constructing simple and semisimple evolution algebras	11
Forms of biisometric operators and biorthogonality	11
Fredholm theory on Krein spaces and its application to pseudospectrum	11
Exponential stability of switched block triangular systems under arbitrary switching	11
New backward error bounds of Rayleigh–Ritz projection methods for quadratic eigenvalue problem	10
A decomposition of matrix-valued H 2 -functions	10
Some properties of c-K-g-frames in Hilbert C*-modules	10
On the signless Laplacian spectrum of k -uniform hypergraphs	9
Local derivations on the Lie algebra W (2, 2)	9
On special H -matrices based on Beauwens condition	9
On the spectral radius and the energy of eccentricity matrices of graphs	9
Weyl-type theorems for hypercyclic and supercyclic operators	8
A strict inequality on the energy of edge partitioning of graphs	8
Quasi-radial operators on the Fock space and C* -algebras of entire functions	8
Formulas for the eigendiscriminants of ternary and quaternary forms	8
On subdirect sums of Nekrasov matrices	8
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
The Ihara expression of a generalization of the weighted zeta function on a finite digraph	7
Towards a classification of incomplete Gabor POVMs in ℂ d	7
Some applications of eigenvalues of unitary Cayley graphs of matrix rings over finite fields	6
Spectral theory of weighted hypergraphs via tensors	6
Countably many asymptotic tensor ranks	6
Existence of flipped orthogonal conjugate symmetric Jordan canonical bases for real H -selfadjoint matrices	6
On 6× 6 complex Hadamard matrices containing two nonintersecting identical 3× 3 submatrices	6
Unitary equivalences for k -circulant operator matrices with applications	5
On exp(Der(E)) of nilpotent evolution algebras of maximal nilindex	5
Symmetric perimeters of completely positive Boolean matrices and their preservers	5
Further results on weighted core inverse in a ring	5
Chollet's permanent conjecture for 4 × 4 matrices	5
On singular pencils with commuting coefficients	5
On the solution of the Yang–Baxter–like operator equation on Hilbert spaces	5
The -positive semidefinite matrices A such that are nonsingular	5
Real Schur norms and Hadamard matrices	5
Characterizations of Lie centralizers of triangular algebras	5
Leibniz algebras and graphs	5
Characterization of C-symmetric Toeplitz operators for a class of conjugations in Hardy spaces	5
On resistance matrices of weighted balanced digraphs	5
Some classes of nonsingular tensors and application	5
On the numerical index of the real two-dimensional L p space	5
A new invariant for cyclic orbit flag codes	5
A Kantorovich type inequality for positive matrices	5
Coherence invariant maps on order-3 symmetric tensors	5
Graphs with the minimal Laplacian coefficients	5
On the closure of absolutely norm attaining operators	4
G-Drazin inverse combined with inner inverse	4
New multiplicative perturbation bounds on orthogonal projection	4
On binary relation of dual core generalized inverses	4
Proof of a conjecture on the determinant of the walk matrix of rooted product with a path	4
LCP of matrix product codes	4
Numerical range of quaternionic right linear bounded operators	4
Some notes on the energy of graphs with loops	4
Spectrum of banach valued holomorphic functions and polar sets	4
Modified CRI iteration methods for complex symmetric indefinite linear systems	4
Non-weight modules over a Schrödinger-Virasoro type algebra	4
Quaternionic essential numerical range of complex operators	4
Signed graphs whose all Laplacian eigenvalues are main	4
-(bi)derivations and transposed Poisson algebra structures on Lie algebras	4
Representations of the weighted WG inverse and a rank equation's solution	4
Nice operators and nice spaces	4
Inequalities for partial determinants of positive semidefinite block matrices	4
On decomposition of left-right Atkinson linear relations and related classes	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
Davis-Wielandt radius inequalities for off-diagonal operator matrices	4

Joint numerical radius distance preservers on C *-algebras	4
Characterization of matrices satisfying the reverse order law for the Moore–Penrose pseudoinverse	4
Quantum injectivity of g-frames in finite dimensions	4
Maximal border subrank tensors	4
On commutators of idempotents	4
New unitary equivalences for some operator matrices with applications	4
Correction	3
Inseparable Gershgorin discs and the existence of conjugate complex eigenvalues of real matrices	3
A generalized Wigner–Yanase skew information	3
On the two-sided removal and cancellation properties associated with selfadjoint operators	3
Reverse Wiener spectral radius of trees	3
Exposedness of elementary positive maps between matrix algebras	3
Bott-Duffin group inverse	3
Advancements in the generalization of m -isometries: introducing the q -partial-( m, A )-isometry class	3
High relative accuracy for rational q-Bernstein–Vandermonde matrices	3
A new approach to MacMahon’s Partition Analysis and associated applications	3
Derivations of triangular matrix rings	3
Endomorphisms of the riordan group, some new facts	3
A metric function for dual quaternion matrices and related least-squares problems	3
CFI upper triangular operator matrices	3
r -invertible matrices over commutative semirings	3
On computing HITS ExpertRank via lumping the hub matrix	3
The semi-Fredholmness and property (ω) for 2×2 upper triangular operator matrices	3
From norm derivatives to orthogonalities in Hilbert C*-modules	3
Characterization of graphs whose Laplacian eigenvalue 1 has multiplicity 2 c ( G ) +  p ( G<	3
Euclidean and circum-Euclidean distance matrices: characterizations and interlacing property	3
The inverse of the incidence matrix of a unicyclic graph	3
An orthogonality relation in complex normed spaces based on norm derivatives	3
Algebraic technique for mixed least squares and total least squares problem in the reduced biquaternion algebra	3
Linear operators and construction of symmetric symbols satisfying sum rules of order p	3
Inequalities for products of singular values of matrices	3
Lieb type convexity for positive operator monotone decreasing functions	3
Bialternant formula for Schur polynomials with repeating variables	3
On a norming property of subspaces of a Banach space and some applications	3
Preservers of of pseudospectra of matrix skew products	3
Diameter of the BJ -orthograph in finite-dimensional C *-algebras	3
On the extreme eigenvalues and asymptotic conditioning of a class of Toeplitz matrix-sequences arising from fractional problems	3
Norm and numerical radius inequalities for operator matrices	3
Spectral properties of linear operators on a Hilbert space	3
L-structure least squares solutions of generalized reduced biquaternion matrix equations with applications	3
2-Local derivations on the Schrödinger-Virasoro algebra	3
Nonlinear maps preserving similarity on B(X)	3
New characterizations and representations of the generalized Bott–Duffin inverse and its applications	3
Strong commutativity preserving maps on rank k strictly triangular matrices	3
Matrices with rotation and/or reflection invariant higher rank numerical ranges	3
Extremal marginals of an unbounded local completely positive and local completely contractive map	3
Distinct eigenvalues are realizable with generic eigenvectors	2
Decay estimates of Green's matrices for discrete-time linear periodic systems	2
Divisibility among power matrices associated with multiplicative functions	2
Minimality of tensors of fixed multilinear rank	2
Approximating the closest structured singular matrix polynomial	2
Modulus-based inexact non-alternating preconditioned splitting method for linear complementarity problems	2
A quadratic operator equation and a non-commutative uncertainty relation	2
On geometric circulant matrices with geometric sequence	2
Generalized Drazin-meromorphic invertible operators and Browder type theorems	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
Some properties of the q -numerical radius	2
Commuting maps on idempotents and functional identities on finite subsets of fields	2
Classification of graphs by Laplacian eigenvalue distribution and independence number	2
Poisson triple systems	2
Sampling expansions associated with quaternion difference equations	2
Nilpotent linear spaces in M 4 ( F )	2
Maximal numerical range of tensor product of two operators	2
The generalized Brauer–Ostrowski theorem for matrices of operators	2
Generalized Paley graphs equienergetic with their complements	2
Construction of infinite frames with some given redundancy	2
Generalized Locally Toeplitz matrix-sequences and approximated PDEs on submanifolds: the flat case	2
On the Seidel Estrada index of graphs	2
The normalized Laplacian spectrum of n -polygon graphs and applications	2
Fixed points of doubly stochastic operators with application to Markov chains	2
The projection m -weak group inverse	2
Metrics related to oscillator algebras	2
Sharp lower bounds for the Laplacian Estrada index of graphs	2
A note on numerical ranges of tensors	2
Transformations preserving the effective spectral radius of a matrix	2
Products of generalized n -projections	2
Perturbations of tempered spectra	2
On determinants involving tangent functions	2
Commutator widths of general linear groups over local rings	2

Fixed point groups of involutions of type O(q, k ) over a field of characteristic two	2
Upper and lower bounds for the solution of the Lyapunov matrix differential equation	2
The set of stable indices of 0–1 matrices with a given order	2
On von Neumann algebras consisting of complex symmetric operators	2
The equation X⊤AX=B with B skew-symmetric: how much of a bilinear form is skew-symmetric?	2
Weighted generalized core–EP inverse	2
On the best coapproximation problem in ℓ1n,	2
Approximating the phi-function action on linear combinations of Krylov bases	2
Invariant cones for actions of semigroups in Sl( d , ℝ) and controllability of bilinear control systems	2
Fredholm theory in quaternionic Banach algebras	2
On a question of Erdős on doubly stochastic matrices	2
The spectra of graphs based on general graph operations	2
Competition periods of multipartite tournaments	2
Comparison theorems for splittings of different M-tensors	2
A study of local symmetry of Birkhoff–James orthogonality in Banach spaces	2
Some quantum MDS codes from GRS codes	2
q-Numerical radius inequalities for Hilbert space	2
A new almost convergent sequence space defined by Schröder matrix	1
Investigation for the k -analogue of τ -Gauss hypergeometric matrix functions and associated fractional calculus	1
Perturbation properties of the generalized spectral radius	1
Two-step Noda iteration for irreducible nonnegative matrices	1
Joint paranormality: bridging the gap between hyponormal and normaloid tuples	1
Visualization for Petrov's odd unitary group	1
On convergence of Jacobi–Davidson method for solving Hermitian generalized eigenvalue problems	1
On the sequence spaces involving bell numbers	1
A new version of Schur–Horn type theorem	1
A characterization of state transfer on double subdivided stars	1
Existence and uniqueness of solutions for Leontief's Input–Output Model, graph theory and sensitivity analysis	1
AE and EA versions of X -robustness for interval circulant matrices in max–min algebra	1
Another proof of a result on the doubly superstochastic matrices	1
Independence and orthogonality of algebraic eigenvectors over the max-plus algebra	1
Theoretical error estimates for computing the matrix logarithm by Padé-type approximants	1
On the interaction of generalized inverse and matrix decomposition using B-T inverse	1
A note on von Neumann regular matrices	1
Approximate orthogonality in complex normed spaces: a directional approach	1
On interlacing of net-Laplacian and normalized net-Laplacian eigenvalues of signed graphs	1
Some operator inequalities via convexity	1
On the second largest adjacency eigenvalue of trees with given diameter	1
Spectral radii of arithmetical structures on cycle graphs	1
Perturbations of gaps in the essential spectra of self-adjoint relations	1
A note on the class of weighted graphs with strong anti-reciprocal eigenvalue property	1
Bounded rank perturbations of matrix pencils without nontrivial invariant factors	1
Inner product inequalities with applications	1
On affine spaces of alternating matrices with constant rank	1
On the smallest eigenvalue of Dα-matrix of connected graphs	1
Schur decomposition of several matrices	1
Weighted Reed–Solomon convolutional codes	1
One sided star and core orthogonality of matrices	1
Injective envelopes for locally C *-algebras*	1
On supmodular matrices	1
One-sided w-core inverses in rings with an involution	1
Norm-preserving dilation theorems for a block positive semidefinite (definite) matrix	1
Trace maximization algorithm for the approximate tensor diagonalization	1
Roundoff-error-free QR factorization via integer-preserving Gram Schmidt orthogonalization	1
Conjugate phase retrieval on general Hilbert spaces	1
Improvements on some partial trace inequalities for positive semidefinite block matrices	1
C -normality of rank-one perturbations of normal operators	1
Upper bounds for the Euclidean spectral radius of operators via joint norms	1
An analogue of the relationship between SVD and pseudoinverse over double-complex matrices	1
On tensor tubal-Krylov subspace methods	1
Ever-reaching probabilities and mean first passage times of higher order ergodic Markov chains	1
Dominating sets for uniform subset graphs	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
Chain graph sequences and Laplacian spectra of chain graphs	1
A modified generalized SOR-like method for solving an absolute value equation	1
Mixed singular value and phase majorization inequalities for accretive matrices	1
The eigenvectors-eigenvalues identity and Sun's conjectures on determinants and permanents	1
Weighted G- (B,C) inverses	1
Local automorphisms of complex solvable Lie algebras of maximal rank	1
Entries of the bottleneck matrices of maximal outerplanar graphs	1
The Jordan algebraic structure of the rotated quadratic cone	1
The generalized Banach sequence spaces and their dual spaces based on permutation symmetric gauge norms	1
Computing a compact local Smith–McMillan form	1
Laplacian eigenvalue distribution, diameter and domination number of trees	1
The r -equilibrium problem	1
Power-product matrix: nonsingularity, sparsity and determinant	1
Derivations, 2-local derivations and biderivations of the Euclidean Lie algebra and their applications	1
On analytic structure of weighted shifts on generalized directed semi-trees	1
Generalized matricial ranges and positive definiteness	1
Norm inequalities for positive definite matrices related to a question of Bourin	1
A note on -gradings on the Grassmann algebra and elementary number theory	1
The images of multilinear and semihomogeneous polynomials on the algebra of octonions	1
The high order spectrum of a graph and its applications in graph colouring and clique counting	1
On the pseudo-spectra and the related properties of infinite-dimensional Hamiltonian operators	1
Unified approach to reciprocal matrices with Kippenhahn curves containing elliptical components	1
Matrix tree theorem for the net Laplacian matrix of a signed graph	1
The distance spectral radius of k -uniform hypertrees with given number of vertices of maximum degree	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
Can one identify two unital JB*-algebras by the metric spaces determined by their sets of unitaries?	1
Rescaled ♮ α -Rényi divergences of all real orders	1
Nodal domain theorems of signed hypergraphs	1
A q -analogue of the distance matrix of a tree with matrix weights	1
New inequalities for permanents and hafnians and some generalizations	1
Spectral characterization of threshold graphs by distance Laplacian matrices	1