Inverse eigenvalue problem for affinely structured or sparse polynomial matrices with prescribed eigenvalues

Computational methods for sparse matrices (65F50) Numerical optimization and variational techniques (65K10) Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29)

Cites Work

Distance bounds for prescribed multiple eigenvalues of matrix polynomials
Matrix polynomials with specified eigenvalues
On a class of inverse quadratic eigenvalue problem
A solution of the affine quadratic inverse eigenvalue problem
On neighbouring matrices with quadratic elementary divisors
Polynomial and rational matrices. Applications in dynamical systems theory
Nearest matrix with prescribed eigenvalues and its applications
The distance from a matrix polynomial to matrix polynomials with a prescribed multiple eigenvalue
Solutions to a quadratic inverse eigenvalue problem
An inverse eigenvalue problem: Computing \(B\)-stable Runge-Kutta methods having real poles
On the distance from a matrix polynomial to matrix polynomials with some prescribed eigenvalues
Nearest matrix with two prescribed eigenvalues
A formula for the 2-norm distance from a matrix to the set of matrices with multiple eigenvalues
The eigenstructure of an arbitrary polynomial matrix: Computational aspects
Solution of the linearly structured partial polynomial inverse eigenvalue problem
On the inverse eigenvalue problem for \(T\)-alternating and \(T\)-palindromic matrix polynomials
Optimization theory and methods. Nonlinear programming
Fixing two eigenvalues by a minimal perturbation
The quadratic eigenvalue problem
On the Inverse Symmetric Quadratic Eigenvalue Problem
On the distance from a matrix polynomial to matrix polynomials with k prescribed distinct eigenvalues
An Inverse Eigenvalue Problem of Order Four
Inverse Eigenvalue Problem for a Modified Vibrating System
Inverse Eigenvalue Problems
An affine inverse eigenvalue problem
The Inverse Eigenvalue Problem with Finite Data for Partial Differential Equations
An Inverse Eigenvalue Problem for the Symmetric Tridiagonal Quadratic Pencil with Application to Damped Oscillatory Systems
Matrix Polynomials with Completely Prescribed Eigenstructure
On the distance from a matrix polynomial to matrix polynomials with two prescribed eigenvalues
Solutions of the Partially Described Inverse Quadratic Eigenvalue Problem
Symmetric tridiagonal inverse quadratic eigenvalue problems with partial eigendata
The Differentiation of Pseudo-Inverses and Nonlinear Least Squares Problems Whose Variables Separate
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