Keywords: 15A22; 15A24; 65F15; Sylvester equation; Eigenvalues; Matrix pencil; Matrix equation;
مقالات ISI (ترجمه نشده)
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Keywords: Generalized Hermitian eigenvalue problem; Hermitian positive definite pair; Absolute perturbation bound; 15A22; 15A42; 65F15;
Keywords: 15A21; 15A22; 15A63; 51A50; Pair of skew-symmetric matrices; Regularization decomposition; Canonical form;
Keywords: 15A39; 15A22; 15A99; Determinantal polynomials; LMIs;
Keywords: 15A22; 15A24; 65F15; Sylvester equation; Eigenvalues; Matrix pencil; Matrix equation;
Keywords: 65F15; 15A22; 15A80; 15A18; 47J10; Polynomial eigenvalue problem; Linearization; Tropical scaling; Well-separated tropical roots; Block companion linearization; Lagrange-type linearization;
Keywords: primary; 13J30; 15A22; 47A56; secondary; 14P10; 16U30; 16R30; Noncommutative polynomial; Factorization; Singularity locus; Linear matrix inequality; Spectrahedron; Invariant theory;
Keywords: 65F15; 65D05; 41A10; 47J10; 15A18; 15A22; Matrix polynomial; Newton bases; Strong linearization; Newton-Fiedler pencil; Ansatz space; Updating;
Keywords: 15A22; 14J10; 16G20; Matrix pencils; Eigenvectors, eigenvalues; Projective varieties; Kronecker modules; Quiver Grassmannians;
Keywords: 15A21; 15A22; 65F15; 47A07; Skew-symmetric matrix polynomials; Matrix polynomials; Stratifications; Skew-symmetric matrix pencils; Orbit; Bundle;
Keywords: 15A83; 15A22; 05A17; Quasi-regular pencils; Completion of pencils; Carlson problem;
Keywords: 15A18; 15A22; 15A24; 65F15; 65F50; Deflating subspace; Invariant subspace; Large-scale problem; Nonsymmetric algebraic Riccati equation; Sparse matrix; Sylvester equation;
Keywords: 15A21; 15A22; Matrix pencil; Normal rank; Algebraic set; Irreducible components; Orbits; Kronecker canonical form;
Keywords: 15A23; 15A21; 15A22; Matrix polynomial; Solvent; Standard pair; Commuting matrices; Factorization; Weierstrass form;
Keywords: 65F15; 15A03; 15A18; 15A22; Matrix polynomial; (Strong) Linearization; Orthogonal basis; Block-symmetry; Ansatz space; Structure-preserving linearization; Z-Rank condition;
Keywords: 15A22; 15A24; 65F30; 34A12; Matrix equations; Structure-preserving doubling algorithms; Matrix Riccati differential equations; Structure-preserving flows; Convergence rates; Symplectic pairs;
Keywords: 15A22; 15A80; 15A18; 47J10; Matrix polynomial; Tropical algebra; Majorization of eigenvalues; Tropical roots; Roots of polynomial; Bound of Pólya;
Keywords: 20D15; 20D45; 15A22; 20B40; Group isomorphism; Pairs of forms; Pfaffian; Adjoint tensor;
Keywords: 15A24; 15A22; 47A60; Generalized Sylvester equation; â-Sylvester equation; â-Stein equation; Contour integrals; Matrix pencils;
Keywords: 93B05; 93B07; 15B33; 15A22; 15A83Zero kernel pair; Matrix completion; Reachable pair; Observable pair; Unimodular matrix polynomial; Finite field
Keywords: 15A60; 15A22; 52A20Convexity; Quadratic transformation (map); Joint numerical range; Trust region problem
Keywords: 15A12; 15A18; 15A22; 65F15; 65F35; 65F50Statistical condition estimation; Generalized eigenvalue problem; Deflating subspace; Large-scale problem; Sylvester equation; Newton’s method
Keywords: 15A21; 15A22; 93C05; Canonical forms; Pairs of linear mappings; Matrix pencils;
Keywords: 65D17; 65F15; 15A18; 15A21; 15A22; 41A10Matrix polynomial; Bernstein polynomials; Möbius transformation; Spectral symmetry; Companion pencil; Strong linearization
Keywords: 15A83; 15A22; 05A17Quasi-regular matrix pencils; Completion of matrix pencils; Partitions of integers; Polynomial paths
Keywords: 65F15; 15A18; 15A22; 15A54Block-symmetric linearizations; Fiedler pencils with repetition; Generalized Fiedler pencils with repetition; Matrix polynomials; Strong linearizations; Structured matrix polynomials; Vector space DL(P)DL(P)
Keywords: 15A22; 15A60; 47A55; 47A15; 93B10; Rectangular matrix pencils; Kronecker canonical form; Reducing subspaces; Deflating subspaces; Stability; Perturbation;
Keywords: 15A21; 15A22; 93B52; Matrix pencils; Strict equivalence invariants; Matrix completion problems; Arbitrary fields;
Keywords: 15A22; 47A56; 47A75; 15A18Linear operator pencils; Spectral theory; Non-self-adjoint operators; Tri-diagonal matrices; Eigenvalue asymptotics
Keywords: 15A18; 15A21; 15A22; 15B57; 47A55Matrix pencil; Alternating matrix pencil; Palindromic matrix pencil; Symmetric matrix pencil; Perturbation theory; Rank-one perturbation; Generic perturbation
Keywords: 15A03; 15A21; 15A22; 15A24; Matrix decomposition; Quaternion; Sylvester matrix equation; Rank;
Symmetric band structure preserving finite element model updating with no spillover
Keywords: 15A22; 15A18; 65F18; Linear matrix pencil; Symmetric band matrix; Finite element model updating problem; Vectorization of a matrix; Kronecker product of two matrices;
Symplectic spaces and pairs of symmetric and nonsingular skew-symmetric matrices under congruence
Keywords: 15A21; 15A22; 15A63; 51A50; Pairs of symmetric and skew-symmetric matrices; Symplectic spaces; Symplectic congruence; Hamiltonian operators;
Block Kronecker ansatz spaces for matrix polynomials
Keywords: 65F15; 15A03; 15A18; 15A22; 15A23; 47J10; Matrix polynomials; Linearization; Strong linearization; Fiedler pencils; Block Kronecker pencils; Rectangular matrix polynomial; Structure-preserving linearization; Eigenvector recovery; Ansatz space;
A simplified approach to Fiedler-like pencils via block minimal bases pencils
Keywords: 65F15; 15A18; 15A22; 15A54; Fiedler pencils; Generalized Fiedler pencils; Fiedler pencils with repetition; Generalized Fiedler pencils with repetition; Matrix polynomials; Strong linearizations; Block minimal bases pencils; Block Kronecker pencils; Extend
A short solution to the subpencil problem involving only column minimal indices
Keywords: 16G20; 15A22; Matrix pencil; Matrix subpencil; Kronecker modules;
Counting Fiedler pencils with repetitions
Keywords: 65F15; 15A18; 15A22; Matrix polynomials; Linearizations; Fiedler pencils with repetitions;
Uniqueness of solution of a generalized â-Sylvester matrix equation
Keywords: 15A22; 15A24; 65F15; Linear matrix equation; Matrix pencil; Sylvester equation; â-Sylvester equation; â-Stein equation; T-Sylvester equation; Eigenvalues;
Perron-Frobenius theorems for the numerical range of semi-monic matrix polynomials
Keywords: 15B48; 15A60; 15A22; Perron-Frobenius theory; Numerical range; Matrix polynomials;
The stability of formulae of the Gohberg-Semencul-Trench type for Moore-Penrose and group inverses of Toeplitz matrices
Keywords: 15A18; 15A22; 65F15; Toeplitz matrix; Moore-Penrose inverse; Group inverse; LSQR; DGMRES;
Constructing strong â-ifications from dual minimal bases
Keywords: 65F15; 15A18; 14A21; 15A22; 15A54; 93B18; Matrix polynomials; Minimal indices; Dual minimal bases; Invariant polynomials; Spectral structure; Linearization; Strong â-ification;
Adjusted least squares fitting of algebraic hypersurfaces
Keywords: 15A22; 15B05; 33C45; 62H12; 65D10; 65F15; 68U05Hypersurface fitting; Curve fitting; Statistical estimation; Quasi-Hankel matrix; Hermite polynomials; Affine invariance
An inverse problem for gyroscopic systems
Keywords: 47A56; 15A22; 39A99Matrix polynomials; Gyroscopic systems
An augmented Lagrangian dual optimization approach to the HH-weighted model updating problem
Keywords: 65F15; 65H17; 15A22; 90C30Model updating problem; Augmented Lagrangian dual method; Inverse quadratic eigenvalue problem; Partial eigendata
On the closest stable descriptor system in the respective spaces RH2 and RHâ
Keywords: 15A22; 93B11; 93C05; 93D99; Model reduction; Stability preserving; Descriptor system; Nehari problem; Hankel norm approximation;
Structured strong linearizations from Fiedler pencils with repetition I
Keywords: 65F15; 15A18; 15A22; Symmetric linearization; Fiedler pencils with repetition; Matrix polynomial; Companion form; Polynomial eigenvalue problem;
On the normal forms of modules with respect to parametrizing bimodules
Keywords: 16G20; 16G60; 16G70; 15A21; 15A22; 68Q99Parametrizing bimodule; Multiplicity problem; t-Matrix; Smith form; Representation; Module; Tame algebra; Isomorphism question
Spectral equivalence of matrix polynomials and the Index Sum Theorem
Keywords: 65F15; 15A18; 15A21; 15A22; 15A54Matrix polynomial; Matrix pencil; Linearization; Quadratification; ℓ-ification; Singular; Regular; Unimodular equivalence; Spectral equivalence; Elementary divisors; Partial multiplicity sequence; Structural indices; Minim
Instability indices for matrix polynomials
Keywords: 15A18; 15A22; 15B57; â-even matrix polynomial; Hermitian matrix polynomial; Hamiltonian-Krein index;
An inverse problem for undamped gyroscopic systems
Keywords: 65F18; 15A22; 93B55Inverse problem; Gyroscopic system; Complete prescribed spectral information; Model updating; Partial eigenstructure assignment