Prime decomposition of quadratic matrix polynomials

Yunbo Tian;  ; Sheng Chen;

doi:10.3934/math.2021576

Prime decomposition of quadratic matrix polynomials

AIMS Mathematics ◽

10.3934/math.2021576 ◽

2021 ◽

Vol 6 (9) ◽

pp. 9911-9918

Author(s):

Yunbo Tian ◽

◽

Sheng Chen ◽

Keyword(s):

Prime Decomposition ◽

Matrix Polynomials ◽

Quadratic Matrix

Quadratic matrix polynomials with Hamiltonian spectrum and oscillatory damped systems

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s000330050139 ◽

1999 ◽

Vol 50 (1) ◽

pp. 64 ◽

Cited By ~ 7

Author(s):

P. Freitas

Keyword(s):

Matrix Polynomials ◽

Quadratic Matrix ◽

Damped Systems

On eigenvalues of perturbed quadratic matrix polynomials

Integral Equations and Operator Theory ◽

10.1007/bf01208352 ◽

1995 ◽

Vol 22 (2) ◽

pp. 242-247 ◽

Cited By ~ 3

Author(s):

M. Radjabalipour ◽

A. Salemi

Keyword(s):

Matrix Polynomials ◽

Quadratic Matrix

On Eigenvalues of Quadratic Matrix Polynomials and Their Perturbations

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/s0895479895273608 ◽

1996 ◽

Vol 17 (3) ◽

pp. 563-569 ◽

Cited By ~ 2

Author(s):

M. Radjabalipour ◽

A. Salemi

Keyword(s):

Matrix Polynomials ◽

Quadratic Matrix

Perturbation of the Eigenvalues of Quadratic Matrix Polynomials

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/0613031 ◽

1992 ◽

Vol 13 (2) ◽

pp. 474-489 ◽

Cited By ~ 16

Author(s):

H. Langer ◽

B. Najman ◽

K. Veselić

Keyword(s):

Matrix Polynomials ◽

Quadratic Matrix

Hermitian quadratic matrix polynomials: Solvents and inverse problems

Linear Algebra and its Applications ◽

10.1016/j.laa.2010.06.047 ◽

2012 ◽

Vol 436 (10) ◽

pp. 4017-4026 ◽

Cited By ~ 6

Author(s):

Peter Lancaster ◽

Françoise Tisseur

Keyword(s):

Inverse Problems ◽

Matrix Polynomials ◽

Quadratic Matrix

Robust Eigenstructure Assignment in Quadratic Matrix Polynomials: Nonsingular Case

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/s0895479899362867 ◽

2001 ◽

Vol 23 (1) ◽

pp. 77-102 ◽

Cited By ~ 65

Author(s):

N. K. Nichols ◽

J. Kautsky

Keyword(s):

Eigenstructure Assignment ◽

Matrix Polynomials ◽

Quadratic Matrix

Diagonalization of quadratic matrix polynomials

Systems & Control Letters ◽

10.1016/j.sysconle.2009.12.005 ◽

2010 ◽

Vol 59 (2) ◽

pp. 105-113 ◽

Cited By ~ 4

Author(s):

Juan Carlos Zúñiga Anaya

Keyword(s):

Matrix Polynomials ◽

Quadratic Matrix

A “shift-and-deflate” technique for quadratic matrix polynomials

Linear Algebra and its Applications ◽

10.1016/j.laa.2011.11.037 ◽

2013 ◽

Vol 438 (4) ◽

pp. 1946-1961 ◽

Cited By ~ 2

Author(s):

Beatrice Meini

Keyword(s):

Matrix Polynomials ◽

Quadratic Matrix

The Numerical Range of Self-Adjoint Quadratic Matrix Polynomials

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/s0895479899364088 ◽

2002 ◽

Vol 23 (3) ◽

pp. 615-631 ◽

Cited By ~ 5

Author(s):

Peter Lancaster ◽

Panayiotis Psarrakos

Keyword(s):

Numerical Range ◽

Matrix Polynomials ◽

Quadratic Matrix

On Nonmonic Quadratic Matrix Polynomials with Nonnegative Coefficients

Operator Theory in Krein Spaces and Nonlinear Eigenvalue Problems - Operator Theory: Advances and Applications ◽

10.1007/3-7643-7453-5_9 ◽

2006 ◽

pp. 145-163 ◽

Cited By ~ 1

Author(s):

K. -H. Förster ◽

B. Nagy

Keyword(s):

Matrix Polynomials ◽

Nonnegative Coefficients ◽

Quadratic Matrix