Generalized Fiedler Pencils for Rational Matrix Functions
DOI10.1137/16M1108200zbMath1392.65083OpenAlexW2795837681WikidataQ130012647 ScholiaQ130012647MaRDI QIDQ5373927
Publication date: 6 April 2018
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/16m1108200
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) Numerical computation of matrix norms, conditioning, scaling (65F35)
Related Items (10)
Cites Work
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- Recovery of eigenvectors of rational matrix functions from Fiedler-like linearizations
- Existence and location of eigenvalues for fluid-solid structures
- Eigenfrequencies of a tube bundle placed in a confined fluid
- A rational spectral problem in fluid-solid vibration
- Recovery of minimal bases and minimal indices of rational matrices from Fiedler-like pencils
- 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
- Recovery of Eigenvectors and Minimal Bases of Matrix Polynomials from Generalized Fiedler Linearizations
- 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
- Vector Spaces of Linearizations for Matrix Polynomials
- Structured Polynomial Eigenvalue Problems: Good Vibrations from Good Linearizations
- Low rank rational perturbations of linear symmetric eigenproblems
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