Keywords: 65F15; 15A18; Linear system; Rank-structured matrix; Matrix product; Parametrization; High relative accuracy;
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Keywords: 65F15; 65F99; Generalized eigenvalues; Diagonalizable matrix pairs; Interval estimates; Perturbation bounds;
Keywords: 15A22; 15A24; 65F15; Sylvester equation; Eigenvalues; Matrix pencil; Matrix equation;
Keywords: Generalized Hermitian eigenvalue problem; Hermitian positive definite pair; Absolute perturbation bound; 15A22; 15A42; 65F15;
Keywords: 65Q30; 15A18; 33C10; 65F10; 65F15; Unstable recurrences; Bessel functions; Eigenvectors; Lanczos method;
Keywords: Quantum entanglement; Multipartite state; Geometric measure of entanglement; Complex-valued neural network; Quantum eigenvalue problem; Local optimal complex rank-one approximation; Lyapunov stability theory; Complex symmetric tensors; Complex tensors; 15
Keywords: 65F15; 65N25; Hermitian eigen-problem; Augmented Krylov subspace; Jacobi-Davidson;
Keywords: Complex interval matrices; Interval analysis; Regularity conditions; Sufficient regularity conditions; Eigenvalue sets; Monte-Carlo simulations; 65G40; 65F15; 15A18;
Keywords: 65F18; 65F15; Doubly stochastic matrices; Inverse eigenvalue problem;
Keywords: 15A18; 15A42; 15B99; 26C10; 65F15; 65H04; Roots of polynomials; Bounds; Eigenvalues; Fiedler companion matrix; Sparse companion matrix;
Keywords: 15A45; 65F15; Block matrices; Block diagonal dominance; Block tridiagonal matrices; Decay bounds for the inverse; Eigenvalue inclusion regions; Gershgorin Circle Theorem;
Keywords: 65F10; 65F50; 65F15; Generalized saddle point problems; Preconditioner; Iteration method; GMRES;
Keywords: 65F10; 65F15; 15A06; 15A18; Shifted linear system; Hessenberg process; Pivoting strategy; Restarted Hessenberg method; Collinear; Fractional differential equations;
Keywords: 65F15; 15A18; Hamiltonian eigenvalue problems; Condition number; Componentwise; Normwise; Structured perturbations;
Keywords: 15A18; 15A42; 15A60; 65F15; Spectrum localization; Eigenvalue inequalities; Envelope; Numerical range;
Keywords: 65F10; 65F15; Love's integral equation; Composite Gauss-Legendre quadrature; Block matrix with Toeplitz blocks; Preconditioned conjugate gradient method;
Keywords: 15A22; 15A24; 65F15; Sylvester equation; Eigenvalues; Matrix pencil; Matrix equation;
Keywords: 65F15; 65F22; 65F30; Iterative methods; Discrete ill-posed problems; Semi-convergence; Stopping rules;
Keywords: 65F15; 15A42; Singular values; Singular vectors; Singular value decomposition; Random perturbation; Random matrix;
Keywords: 65F15; 15A22; 15A80; 15A18; 47J10; Polynomial eigenvalue problem; Linearization; Tropical scaling; Well-separated tropical roots; Block companion linearization; Lagrange-type linearization;
Keywords: 15A54; 15A60; 15B05; 65F15; 65F35; 93B18; Backward error analysis; Dual minimal bases; Genericity; Linearizations; â-Ifications; Minimal bases; Minimal indices; Perturbations; Polynomial matrices; Robustness; Sylvester matrices;
Keywords: 65F15; 65D05; 41A10; 47J10; 15A18; 15A22; Matrix polynomial; Newton bases; Strong linearization; Newton-Fiedler pencil; Ansatz space; Updating;
Keywords: 15A18; 65F15; 47A55; Distinct eigenvalues; Perturbation; Defectivity; Derogatory index;
Keywords: 65F10; 65F15; Varying-time discrete systems; Exponential stability; Spectral norm of matrix;
Keywords: 15A18; 15A60; 65F15; Semialgebraic; Singular values; Algebraic curves; Isolated points;
Keywords: Delay differential equations; Delay eigenvalue problems; Verified error bound; Matrix exponential; 65F15; 65F30; 65F60; 65G20; 65G50;
Keywords: 15A42; 65F15; Linear response eigenvalue problem; Random phase approximation; Perturbation; Deflating subspaces;
Keywords: 65F05; 65F15; 65F35; Sign regular matrices; Almost strictly sign regular matrices; Backward stability; Backward error;
Keywords: 65F15; 65H04; 65F50; 13P15; Bivariate polynomial; Determinantal representation; System of bivariate polynomial equations; Two-parameter eigenvalue problem;
Keywords: 15A21; 15A22; 65F15; 47A07; Skew-symmetric matrix polynomials; Matrix polynomials; Stratifications; Skew-symmetric matrix pencils; Orbit; Bundle;
Keywords: 15A18; 15A22; 15A24; 65F15; 65F50; Deflating subspace; Invariant subspace; Large-scale problem; Nonsymmetric algebraic Riccati equation; Sparse matrix; Sylvester equation;
Keywords: 65F05; 65F15; 65D05; 15A23; 15B05; 15B48; Cauchy-Vandermonde matrix; Totally positive matrix; Neville elimination; Bidiagonal decomposition; High relative accuracy;
Keywords: 65F15; 15A03; 15A18; 15A22; Matrix polynomial; (Strong) Linearization; Orthogonal basis; Block-symmetry; Ansatz space; Structure-preserving linearization; Z-Rank condition;
Keywords: 18A18; 65F15; 65F25; Numerical rank; Krylov matrices; Krylov subspaces; Symmetric matrices; Vandermonde matrices; Partition theorems; Clustering theorems; The Vandermonde-Pascal-Toeplitz equality;
Keywords: 65F18; 65F10; 65F15; Nonlinear equation; Inverse eigenvalue problem; Cayley transform method;
Keywords: 15A18; 15A69; 65F15; 65F10; Tensors; Eigenpair; ϵ-pseudo-spectrum; Tensor polynomial eigenvalue problems; Regular tensor polynomial; Determinant; Backward error; Nonnegative weights;
Keywords: 65F15; 90C31; 60H35; Eigenvalue analysis and optimization; Delay differential algebraic equations of retarded type; Uncertainty quantification; Integrability of the spectral abscissa and its gradient;
Keywords: 65F15; 65G05; Eigenvalues; Symmetric matrix of order 4; Jacobi method; Global convergence; Parallel pivot strategies;
Keywords: 65F10; 65F30; 65F35; 65F15; Limited-memory quasi-Newton methods; Compact representation; Broyden class of updates; Symmetric rank-one update; Broyden-Fletcher-Goldfarb-Shanno update; Davidon-Fletcher-Powell update; Sherman-Morrison-Woodbury
Keywords: Neural network; Ordinary differential equations; Lyapunov function; Lyapunov stability theory; Rank-one tensor; Best rank-one approximation; Z-eigenpair; Symmetric-definite tensor pair; H-eigenpair; The local maximal generalized eigenpair; The local minim
Keywords: 15Axx; 15A18; 65Fxx; 65F15; Sustainability indices; Composite indicator; Singular value decomposition; Happy Planet Index; Global Peace Index;
Keywords: 15A18; 65F15; 65F18Eigenvalue; Inverse problem; Rod; Finite element model
Keywords: Neural network; Generalized eigenvalue; Right and left eigenvectors; Invariant subspaces; Diagonalizable matrix pair; Generalized singular value; Right and left singular vectors; 15A18; 15A69; 65F15; 65F10;
Keywords: 15A18; 30C15; 65F15; Polynomial eigenvalue problem; Polynomial zero; Polynomial root; Bound; Cauchy;
Keywords: 15A12; 15A18; 15A22; 65F15; 65F35; 65F50Statistical condition estimation; Generalized eigenvalue problem; Deflating subspace; Large-scale problem; Sylvester equation; Newton’s method
Keywords: 65F15; Interior eigenvalue; Eigenvector; Harmonic Rayleigh-Ritz; Ritz vector; Condition number; Preconditioning; Eigensolver; A priori bound;
Keywords: 65F15; Krylov subspace; Arnoldi method; Ritz values; Eigenvalues; Eigenvectors; Diagonalizable matrices; Normal matrices;
Keywords: 65F15; 15A57; 15A18; 65F35Rational matrix function; Zeros; Poles; Matrix polynomial; Eigenvalue; Eigenvector; Minimal realization; Matrix pencil; Linearization; Fiedler pencil
Keywords: primary; 47B35; secondary; 15A18; 15B05; 65F15; 82B20; Toeplitz matrix; Eigenfunction; Asymptotic expansion; Spectral asymptotics;
Keywords: 65D17; 65F15; 15A18; 15A21; 15A22; 41A10Matrix polynomial; Bernstein polynomials; Möbius transformation; Spectral symmetry; Companion pencil; Strong linearization