Keywords: 15A18; 05C50; 15B57; 13H15; Cut-edge; Edge; Eigenvalues; Graph; Hermitian matrix; Multiplicity;
مقالات ISI (ترجمه نشده)
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Keywords: 15B57; 15A15; 15A03; Quasi principal rank characteristic sequence; Enhanced principal rank characteristic sequence; Minor; Rank; Symmetric matrix; Schur complement;
Keywords: 15A18; 05C05; 05C50; 15B57; Eigenvalue; General matrix; Geometric multiplicity; Maximum multiplicity; Parter vertex; Tree;
Keywords: 15A12; 15A18; 15B57; 33C45; Hermite polynomials; Shifted Hermite polynomials; Gram matrix; Reciprocal spectra; Stochastic Galerkin method;
Keywords: 46L30; 15A45; 15B57; Matrix Heron mean; Determinant inequality; Trace; t-power mean; Majorization;
Keywords: 05C50; 15A18; 15A29; 15B57; 65F18; Inverse eigenvalue problem; Graph; Jacobian method; Implicit function theorem; Transversal intersection;
Keywords: 15B34; 15B36; 15B57; Tournaments; Determinant; Pick matrix; Skew energy; Characteristic polynomial;
Keywords: 15A18; 15A48; 15B51; 15B57; 17C30; Euclidean Jordan algebra; Positive map; Doubly stochastic map; Majorization;
Keywords: 15A15; 15A03; 15B57; Principal rank characteristic sequence; Enhanced principal rank characteristic sequence; Minor; Rank; Skew-symmetric matrix;
Keywords: 15B48; 15B57; 15A18; 15B35Doubly non-negative matrices; Completely positive matrices; Additive spectral decomposition
Keywords: 15A15; 15A03; 15B57; 05C50; Principal rank characteristic sequence; Enhanced principal rank characteristic sequence; Minor; Rank; Symmetric matrix; Hermitian matrix; Schur complement;
Keywords: 15B57; 15A09; 15A39Almost skew-symmetric matrix; Sums and subdirect sums; Tucker's theorem; Farkas' lemma; Moore–Penrose inverse
Keywords: Matrix equation; General solution; Quaternion matrix; Moore-Penrose inverse; Rank; 15A24; 15A09; 11R52; 15B57;
Keywords: 15B57; 26A33; 60B20; 62E15; 33C60; 40C05Fractional derivatives; Complex matrix-variate case; Fractional integrals; Kober fractional derivative operators
Keywords: 15A86; 15B57; 46N50; Maximally entangled state; Linear preserver; Quantum state; Density matrix;
Keywords: 15B10; 15B57; 81Q35; Hadamard matrix; Conference matrix; Quantum graph; Scattering matrix;
Keywords: 05C50; 15A03; 15B57; Minimum rank; Maximal nullity; Zero forcing number; Edge spread;
Keywords: 15A15; 15A42; 15A48; 15B57; Positive semidefinite block matrices; Hermitian matrix; Eigenvalues; Majorization;
Keywords: 15A15; 15A03; 15A18; 15B57; 05C50Principal rank characteristic sequence; Minor; Rank; Symmetric matrix; Hermitian matrix; Finite field
Keywords: 15B57; 26A33; 60B20; 62E15; 33C60; 40C05Fractional integrals; Matrix-variate case; Several matrices; Products and ratios; Kober fractional operators
Keywords: 15A18; 15A21; 15A22; 15B57; 47A55Matrix pencil; Alternating matrix pencil; Palindromic matrix pencil; Symmetric matrix pencil; Perturbation theory; Rank-one perturbation; Generic perturbation
Self-adjoint elements in the pseudo-unitary group U(p,p)
Keywords: 15B57; 15Axx; 20G20; Pseudo-unitary group; Self-adjoint matrix; Spectral decomposition; Lie algebra; Exponential map; Singular value decomposition;
Infinite family of equi-isoclinic planes in Euclidean odd dimensional spaces and of complex symmetric conference matrices of odd orders
Keywords: 15B33; 15B57; 51M05; 51M15; 51M20; 51F20; 51K99; Equi-isoclinic planes; Conference matrices; Legendre symbol; Seidel matrices;
Positive semi-definite 2â¯Ãâ¯2 block matrices and norm inequalities
Keywords: 15A42; 15A60; 15B57; Positive semi-definite matrix; Block matrix; Unitarily invariant norm; Positive partial transpose;
Conjugation orbits of loxodromic pairs in SU(n,1)
Keywords: primary; 20H10; secondary; 30F40; 51M10; 15B57; Complex hyperbolic space; Surface group representations; Traces;
Structured distance to normality of tridiagonal matrices
Keywords: 65F15; 65F35; 15B05; 15B57; Distance; Structured distance; Frobenius norm; Normal matrix; r-Toeplitz matrix; Tridiagonal matrix;
Noncrossing partitions, noncrossing graphs, and q-permanental equations
Keywords: 15A15; 15B57; 05C20; 05C50; Digraphs; Graphs; Permutations; Permanent; Polynomial identities;
Preconditioners for nonsymmetric linear systems with low-rank skew-symmetric part
Keywords: 15B57; 45A05; 65F08; 65F10; 65F50; 65N22; Iterative methods; Skew-symmetric matrices; Sparse linear systems; Preconditioning; Low-rank update;
Regular characters of groups of type An over discrete valuation rings
Keywords: primary; 20C15; 20G05; 11M41; secondary; 15B33; 15B57; 20F69; 20G25; 20G35; 20H05; Representations of compact p-adic groups; Representation zeta functions; Ennola duality;
Yet more elementary proofs that the determinant of a symplectic matrix is 1
Keywords: 15B57; 65F40; 11C20; 51A50; Symplectic matrix; Determinant; Transvection; Isometry;
Linear maps preserving r-potents of tensor products of matrices
Keywords: 15A15; 15A69; 15A86; 15B57; Linear preserver; Tensor product; r-Potent matrix; Quantum information science;
DDVV-type inequality for Hermitian matrices
Keywords: 15A45; 15B57; 53C42; DDVV inequality; Hermitian matrices; Commutator;
A gap for PPT entanglement
Keywords: 15A69; 15B48; 15B57; Symmetric tensors; Tensor rank 1; PPT matrix; Entanglement; Separability;
Simultaneous decomposition of quaternion matrices involving η-Hermicity with applications
Keywords: The quaternion algebra; Matrix equations; Matrix decompositions; η-Hermitian matrix; Rank; 15A23; 15A24; 15B33; 15B57; 15A09;
Hermitian matrices: Spectral coupling, plane geometry/trigonometry and optimisation
Keywords: 15A18; 15A42; 15B57; 35Q31; 51M99; Spectral coupling; Indefinite symmetric or hermitian matrix; Spectral plane; Invariant plane; Catchvector; Antieigenvector; Midvector; Local optimisation; Euler equation; Balance equation; Torus in 3D; Angle between comp
A system of generalized Sylvester quaternion matrix equations and its applications
Keywords: System of matrix equation; Quaternion; General solution; η-Hermitian; Moore–Penrose inverse15A03; 15A09; 15A24; 11R52; 15B57
Some functions preserving positive semidefiniteness of 2 × 2 block matrices
Keywords: 15B57; 15A30; 47B65; 30D20Positive semidefinite matrix; Primary matrix function; Symmetric function; Entire function
Adjacency preservers on invertible hermitian matrices I
Keywords: 15A03; 15B33; 15B57; 05C50; 15A15; 05C15; 51A50; 51B20Adjacency preserver; Core; Finite field; Hermitian matrix; Rank; Petersen graph
Computing matrix symmetrizers, part 2: New methods using eigendata and linear means; a comparison
Keywords: 65F10; 65J10; 15A23; 15B57; Symmetric matrix factorization; Symmetrizer; Symmetrizer computation; Eigenvalue method; Linear equation; Principal subspace computation; Matrix optimization; Numerical algorithm; MATLAB code;
On the sign characteristics of Hermitian matrix polynomials
Keywords: 15B57; 65F15; 37J25; 37J40; Hermitian matrix polynomial; Sign characteristic; Sign characteristic at infinity; Sign feature; Signature constraint; Perturbation theory;
Solution to a system of real quaternion matrix equations encompassing η-Hermicity
Keywords: Linear matrix equation; η-Hermitian solution; Quaternion matrix; Moore–Penrose inverse; Rank; General solution15A24; 15A09; 11R52; 15B57
Complex wedge-shaped matrices: A generalization of Jacobi matrices
Keywords: 15A18; 15B57; 65F15Eigenvalues; Eigenvectors; Wedge-shaped matrices; Generalized Jacobi matrices; Band (or block) Krylov subspace methods
A new criterion and a special class of k-positive maps
Keywords: 15A69; 15A60; 15B57; 46N50k-positive maps; k-numerical range
Proof of Stenger's conjecture on matrix I(â1) of Sinc methods
Keywords: 15A18; 15A42; 15B05; 15B57; 41A30; 65F15; 65T40; Sinc methods; Sinc matrix; Eigenvalue localization; Toeplitz matrix; Skew symmetry; Generating function;
On subspace distances determined by the Frobenius norm
Keywords: 15A60; 15B57; 15A03Angle and minimal angle between subspaces; Trace; Orthogonal projector; Partitioned matrix; Orthogonally incident subspaces; Commutativity of projectors
On the inverse eigenvalue problem for T-alternating and T-palindromic matrix polynomials
Keywords: 65F15; 15A18; 15A21; 15A54; 15B57; Matrix polynomial; Matrix pencil; Smith form; Alternating matrix polynomial; Palindromic matrix polynomial; Triangularization; Anti-triangular form;
Cayley transform and the Kronecker product of Hermitian matrices
Keywords: 15A69; 15B57; Cayley transform; Hermitian matrix; Kronecker product;
Fractional integral operators in the complex matrix variate case
Keywords: 15B57; 26A33; 60B20; 62E15; 33C60; 40C05; Fractional integrals; Complex matrix variate case; Pathway extensions; Statistical distributions; M-convolutions; Products and ratios; Fractional operators;
Instability indices for matrix polynomials
Keywords: 15A18; 15A22; 15B57; â-even matrix polynomial; Hermitian matrix polynomial; Hamiltonian-Krein index;
A characterization of minimal Hermitian matrices
Keywords: 15A12; 15B51; 15B57; 15A60; 58B25Minimal Hermitian matrix; Diagonal matrix; Quotient operator norm; Best approximation