Bounds for eigenvalues of matrix polynomials
From MaRDI portal
Publication:1855428
DOI10.1016/S0024-3795(01)00316-0zbMath1055.15030WikidataQ56998807 ScholiaQ56998807MaRDI QIDQ1855428
Nicholas J. Higham, Françoise Tisseur
Publication date: 5 February 2003
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Inequalities involving eigenvalues and eigenvectors (15A42) Matrices over function rings in one or more variables (15A54)
Related Items
Bounds for eigenvalues of matrix polynomials over quaternion division algebra, The Composition of Polynomials is a Determinant, Bounds for eigenvalues of matrix polynomials with applications to scalar polynomials, Cauchy-like and Pellet-like results for polynomials, Bounds for characteristic values of entire matrix pencils, Improvement of Pellet's theorem for scalar and matrix polynomials, First order spectral perturbation theory of square singular matrix polynomials, Generalization and variations of Pellet's theorem for matrix polynomials, Annulus containing all the eigenvalues of a matrix polynomial, Locating eigenvalues of quadratic matrix polynomials, Obtaining a linear combination of the principal components of a matrix on quantum computers, Algorithms for hyperbolic quadratic eigenvalue problems, A Jacobi-Davidson type method for computing real eigenvalues of the quadratic eigenvalue problem, Singular value decomposition of multi-companion matrices, Polynomial eigenvalue estimation: numerical radii versus norms, Stability of matrix polynomials in one and several variables, Hoffman-Wielandt type inequality for block companion matrices of certain matrix polynomials, ON CAUCHY-TYPE BOUNDS FOR THE EIGENVALUES OF A SPECIAL CLASS OF MATRIX POLYNOMIALS, Numerical radius inequalities for operator matrices and applications to the polynomial eigenvalue problem, A numerical method for polynomial eigenvalue problems using contour integral, A polynomial eigenvalue test for checking DLMI constraints, Improved Cauchy radius for scalar and matrix polynomials, Bound estimates of the eigenvalues of matrix polynomials, An efficient approximation to the Cauchy radius, Matrices whose eigenvalues are those of a quadratic matrix polynomial, Bounds for the eigenvalues of matrix polynomials with commuting coefficients, Instability indices for matrix polynomials, Implicitly Restarted Refined Partially Orthogonal Projection Method with Deflation, Refinement of Pellet radii for matrix polynomials, Polynomial eigenvalue bounds from companion matrix polynomials, Cauchy, Gershgorin, and Matrix Polynomials, New bounds for roots of polynomials based on Fiedler companion matrices, Eigenvalue bounds for matrix polynomials in generalized bases, An alternative proof of Pellet’s theorem for matrix polynomials, Identities for sums of characteristic values of entire matrix pencils, Optimizing Gershgorin for symmetric matrices, Deflating quadratic matrix polynomials with structure preserving transformations, Directional bounds for polynomial zeros and eigenvalues, Structured backward error analysis for sparse polynomial eigenvalue problems, Location of right eigenvalues of quaternionic matrix polynomials, Log-majorization of the moduli of the eigenvalues of a matrix polynomial by tropical roots, Localization Theorems for Nonlinear Eigenvalue Problems, On the location of eigenvalues of matrix polynomials, Extensions of the Eneström-Kakeya theorem for matrix polynomials, The block numerical range of matrix polynomials, Spectral radius inequalities for operator matrices with commuting entries, A novel method to compute all eigenvalues of the polynomial eigenvalue problems in an open half plane, Stability criteria of matrix polynomials, Unnamed Item, Bounds for the eigenvalues of monic matrix polynomials from numerical radius inequalities, On variations of characteristic values of entire matrix pencils, Tropical Roots as Approximations to Eigenvalues of Matrix Polynomials, Formation Tracking of Nonholonomic Systems on the Special Euclidean Group under Fixed and Switching Topologies: An Affine Formation Strategy, Nonscalar matrix polynomial representation of some scalar polynomials, High-dimensional penalized arch processes, Localization theorems for matrices and bounds for the zeros of polynomials over quaternion division algebra, On why using \(\mathbb{DL}(P)\) for the symmetric polynomial eigenvalue problem might need to be reconsidered, The polar decomposition of block companion matrices
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Controllability and stability radii for companion form systems
- More on pseudospectra for polynomial eigenvalue problems and applications in control theory
- Iterative system solvers for the frequency analysis of linear mechanical systems
- Some large-scale matrix computation problems
- The Quadratic Eigenvalue Problem
- On the Numerical Solution of $(\lambda^2 A + \lambda B + C), x = b$ and Application to Structural Dynamics
- Matrix Analysis
- Buzano's Inequality and Bounds for Roots of Algebraic Equations
- Singular Values of Companion Matrices and Bounds on Zeros of Polynomials
- ARPACK Users' Guide
- A Block Algorithm for Matrix 1-Norm Estimation, with an Application to 1-Norm Pseudospectra
- Templates for the Solution of Algebraic Eigenvalue Problems
- On the Zeros of Polynomials
- On the Zeros of Polynomials