Generalized Fiedler pencils with repetition for rational matrix functions
From MaRDI portal
Publication:5081245
DOI10.2298/FIL2011529BzbMath1499.65124MaRDI QIDQ5081245
Publication date: 14 June 2022
Published in: Filomat (Search for Journal in Brave)
eigenvaluesystem matrixlinearizationminimal realizationeigenvectormatrix polynomialmatrix pencilFiedler pencilrational matrix function
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Matrix pencils (15A22)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Recovery of eigenvectors of rational matrix functions from Fiedler-like linearizations
- A permuted factors approach for the linearization of polynomial matrices
- Perron-Frobenius theorem for nonnegative tensors
- A rational spectral problem in fluid-solid vibration
- A simplified approach to Fiedler-like pencils via block minimal bases pencils
- Generalized tensor function via the tensor singular value decomposition based on the T-product
- Automatic recovery of eigenvectors and minimal bases of matrix polynomials from generalized Fiedler pencils with repetition
- Affine spaces of strong linearizations for rational matrices and the recovery of eigenvectors and minimal bases
- Iterative projection methods for computing relevant energy states of a quantum dot
- Linearizations for Rational Matrix Functions and Rosenbrock System Polynomials
- Solving Rational Eigenvalue Problems via Linearization
- Fiedler Companion Linearizations and the Recovery of Minimal Indices
- Strong Linearizations of Rational Matrices
- A new family of companion forms of polynomial matrices
- Nonlinear eigenvalue problems: a challenge for modern eigenvalue methods
- Generalized Fiedler Pencils for Rational Matrix Functions
- Eigenvectors and minimal bases for some families of Fiedler-like linearizations
- Generalized Tensor Eigenvalue Problems
- Third-order tensors as linear operators on a space of matrices
This page was built for publication: Generalized Fiedler pencils with repetition for rational matrix functions