Keywords: 15A33; 15A57; Toeplitz matrix; Nullity sequence; Rank; Finite fields;
مقالات ISI (ترجمه نشده)
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Keywords: 65F35; 15A23; 15A57; LU factorization; Cholesky factorization; QR factorization; Structured condition number; Structured matrix;
Keywords: 15A48; 15A57; Sign regular matrix; Combined matrix; Hadamard product; Nonnegative matrix;
Keywords: 15A09; 15A57; 15A24Drazin inverse; G-Drazin inverse; C-N partial ordering; G-Drazin partial ordering; Core-nilpotent decomposition
Keywords: 15A23; 15A57; 15B99Companion matrix; Characteristic polynomial; Factorization
Keywords: 15A18; 15A51; 15A57; 17C20; 17C30; 52A20; Euclidean Jordan algebra; Spectral cone; Automorphism; Dual cone; Dimension;
Keywords: 65F15; 15A57; 15A18; 65F35Rational matrix function; Zeros; Poles; Matrix polynomial; Eigenvalue; Eigenvector; Minimal realization; Matrix pencil; Linearization; Fiedler pencil
Keywords: 15A18; 15A57; Jacobi matrix; Eigenvalue; Inverse problem; Submatrix;
Keywords: 15A18; 47A15; 15A57; Characteristic subspaces; Hyperinvariant subspaces; Invariant subspaces; Elementary divisors; Characteristic hull; Exponent; Height; Generators;
Core-EP decomposition and its applications
Keywords: 15A09; 15A57; 15A24Core-EP decomposition; Core-EP inverse; Core-EP order; Core-minus partial order
Counting d-dimensional hyperinvariant subspaces of a Weyr matrix
Keywords: 15A03; 15A57; 15A18; Hyperinvariant subspaces; Weyr matrix; Generating polynomials;
On the solution of large-scale algebraic Riccati equations by using low-dimensional invariant subspaces
Keywords: 15A18; 15A24; 15A57; 65F15; 65F30Matrix equations; Algebraic Riccati equations; Hamiltonian matrices; Invariant subspaces; Krylov subspaces; ADI iteration
Least-squares symmetric and skew-symmetric solutions of the generalized Sylvester matrix equation ∑i=1sAiXBi+∑j=1tCjYDj=E
Keywords: Generalized Sylvester matrix equation; Symmetric solution; Skew-symmetric solution; Least-squares solution; Optimal approximation15A24; 15A57
A structure-preserving QR factorization for centrosymmetric real matrices
Keywords: 15A57; 65F30; 15A23; 46C20Perplectic; Centrosymmetric; Block-reflectors; QR factorization; Structure-preserving
A Comment on “On the Rotation Matrix in Minkowski Space-Time” by Özdemir and Erdoğdu
Keywords: 15A90; 15A57; 17B81; also 22E70generalized Euler–Rodrigues formula; Minkowski space, Lorentz group; SL(2, ℂ); SO0(3, 1)
The inverse eigenproblem with a submatrix constraint and the associated approximation problem for (R,S)(R,S)-symmetric matrices
Keywords: 15A18; 15A57; 65F18; 65F15Inverse eigenproblem; Approximation problem; (R,S)(R,S)-symmetric matrix; Leading principal submatrix; Moore–Penrose inverse
Sets of Parter vertices which are Parter sets
Keywords: 15A18; 15A57; 05C50; Parter vertices; Parter set; Eigenvalues; Tree;
More on G-matrices
Keywords: 15A23; 15A57; 15A48; Cauchy matrix; G-matrix; Complex orthogonal matrix;
Diagonal imbeddings in a normal matrix
Keywords: 15A29; 15A57; 15A60; 47A20; 47B20; 51M15Normal matrices; Eigenvalues; Compressions; Inverse problem
Description of characteristic non-hyperinvariant subspaces over the field GF(2)
Keywords: 15A03; 15A57; 15A18; Hyperinvariant subspaces; Characteristic subspaces; Shodaʼs Theorem;
When the positivity of the leading principal minors implies the positivity of all principal minors of a matrix
Keywords: 15A57; 15A15; 15A21Symmetric; Positive definite; Z-matrix; M-matrix; Leading principal minors; Nested sequence of principal minors
A note on permanents and generalized complementary basic matrices
Keywords: 15A23; 15A57; 15A48
Majorization for the eigenvalues of Euclidean distance matrices
Keywords: 15A57; Majorization; Euclidean distance matrix; Positive semidefinite matrix; Eigenvalues; Orthogonal group;
Efficient numerical solution of the generalized Dirichlet–Neumann map for linear elliptic PDEs in regular polygon domains
Keywords: 15A06; 15A90; 15A57; 65F05; 65F10; 65N35; 15A57; 35J25Elliptic PDEs; Dirichlet–Neumann map; Global Relation; Collocation; Block circulant matrices; Fast Fourier Transform (FFT)
An inverse eigenproblem and an associated approximation problem for generalized reflexive and anti-reflexive matrices
Keywords: 15A18; 15A57; 65F18; 65F15Inverse eigenproblem; Approximation problem; Generalized reflexive matrix; Generalized anti-reflexive matrix; Moore–Penrose inverse
On the concept of matrix derivative
Keywords: 1501; 15A57; 15A72Matrix calculus; Matrix derivative; Definitions
Some inheritance properties for complementary basic matrices
Keywords: 15A23; 15A57; 15A48
Unfolding the conical zones of the dissipation-induced subcritical flutter for the rotationally symmetrical gyroscopic systems
Keywords: 45.30.+s; 46.40.Ff; 05.45.Xt; 45.20.dc; 45.10.Hj; 02.10.Yn; 02.40.Xx; 34D20; 34D10; 15A18; 15A57; 58K70; Acoustics of friction; Rotating continua; Gyroscopic system; Indefinite damping; Flutter; Parametric resonance; Non-conservative positional forces; Di
A system of real quaternion matrix equations with applications
Keywords: 15A06; 15A24; 15A33; 15A57; 15A09
Inclusion sets for singular values
Keywords: 15A18; 15A57; 65F15Singular value; Nonnegative matrix; Condition number
An inverse eigenvalue problem and an associated approximation problem for generalized K-centrohermitian matrices
Keywords: 15A18; 15A57; 65F15Generalized K-centrohermitian matrix; Inverse eigenvalue problem; Approximation problem
A min–max theorem for complex symmetric matrices
Keywords: 15A18; 15A57; 15A63Complex symmetric matrix; Min–max principle; Singular value; Takagi decomposition
The expansion problem of anti-symmetric matrix under a linear constraint and the optimal approximation
Keywords: 15A24; 15A57; 65F99Anti-symmetric matrix; Linear constraint; Frobenius norm; Optimal approximation
An alternative approach to unitoidness
Keywords: 15A57; 15A09; 15A18Sylvester’s law of inertia; Unitoid matrices
The solvability conditions for the inverse eigenvalue problems of reflexive matrices
Keywords: 15A57; 15A18Reflexive matrix; Inverse eigenvalue problem; Optimal approximation
Principal minor sums of (AÂ +Â tB)m
Keywords: Primary 15A15; 15A57; Secondary 15A90; 81Q99; Positive definite matrix; Principal minors;
A note on sign-nonsingular matrices
Keywords: 15A57; 05B20; Basic matrix; Zig-zag shape; Factorization; Sign-nonsingular matrix;
The copositive completion problem
Keywords: 15A18; 15A48; 15A51; 15A57; 15A63; Copositive; Strictly copositive; Matrix completion; Partial matrix;
The inverse eigenvalue problem for symmetric anti-bidiagonal matrices
Keywords: 15A18; 15A29; 15A48; 15A57; Nonnegative inverse eigenvalue problem; Tridiagonal matrices; Jacobi matrices; Anti-bidiagonal matrices; Sign-regular matrices; Orthogonal polynomials; Root interlacing;
Spectral theory of copositive matrices
Keywords: 15A18; 15A48; 15A51; 15A57; 15A63; Symmetric; Eigenvalue; Eigenvector; Copositive; Strictly copositive; Schur complement; Positive semidefinite; Nonnegative eigenvector;
On generalized H-matrices
Keywords: 65F10; 65F50; 15A57; Generalized M-matrix; Generalized H-matrix; Block generalized positive type matrix;
Periodic, irreducible, powerful ray pattern matrices
Keywords: 15A21; 15A48; 15A57; Sign pattern; Ray pattern; Periodic ray pattern; Powerful ray pattern; Perron-Frobenius Theorem;
Displacement structures and fast inversion formulas for q-adic Vandermonde-like matrices
Keywords: 15A57; 41A10; 12Y05; q-adic Vandermonde matrix; Displacement structure; Inversion formula;
Displacement structures and fast inversion formulas for confluent polynomial Vandermonde-like matrices
Keywords: 15A09; 15A57; Polynomial Vandermonde-like matrix; Displacement structure; Inversion formula;
Displacement structures and fast inversion formulas for confluent polynomial Vandermonde-like matrices
Keywords: 15A09; 15A57; Polynomial Vandermonde-like matrix; Displacement structure; Inversion formula;
On Fiedler's characterization of tridiagonal matrices over arbitrary fields
Keywords: 15A57; 15A33; 15A30; Tridiagonal matrices; Rank; Fiedler property; Finite fields; Completions problems;
Reducible powerful ray pattern matrices
Keywords: 15A21; 15A48; 15A57; Ray pattern; Sign pattern; Powerful ray pattern; Unambiguously defined powers;
On nilpotent incline matrices
Keywords: 15A15; 15A18; 15A57; 16Y60; Incline; Incline matrix; Nilpotent matrix; Reduction of matrix; Permanent; Power sequence; Adjoint matrix; Transitive closure;
The determinantal regions of complex sign pattern matrices and ray pattern matrices
Keywords: 15A09; 15A18; 15A57; Complex; Matrix; Sign; Ray pattern; Determinant;
Completion of an orthogonal projector and a related inverse mapping problem
Keywords: 15A03; 15A29; 15A57; 65F30; Orthogonal projector; Matrix completion; Singular-value decomposition; Orthonormal basis; Subspace; Inverse problem;