AbstractThe concept of a multiple root of matrix polynomial L(λ) is introduced, and associated spectral properties of L(λ) are investigated. A statement concerning factorization of L(λ) is presented. Applications are made to factorizations of the matrix polynomial Lα(λ), for any positive integer α
AbstractAn interrelationship between the numerical range of matrix polynomials and its factorization...
We discuss matrix polynomials expressed in a Bernstein basis, and the associated polynomial eigenval...
Several algorithms are presented for the J-spectral factorization of a para-Hermitian polynomial mat...
AbstractThe concept of a multiple root of matrix polynomial L(λ) is introduced, and associated spect...
AbstractA similarity condition is developed for the factorization of monic matrix polynomials L(λ) i...
142 p. : ill. ; 30 cmThe factorization (root finding) of scalar polynomials is an important tool of ...
AbstractThis paper gives necessary and sufficient conditions for a linear factorization of a matrix ...
We develop a complete and rigorous theory of root polynomials of arbitrary matrix polynomials, i.e.,...
This paper considers the application of structured matrix methods for the computation of multiple ro...
AbstractThe topic of the paper is spectral factorization of rectangular and possibly non-full-rank p...
We discuss matrix polynomials expressed in a Bernstein basis, and the associated polynomial eigenv...
4International audienceIn the context of multivariate signal processing, factorizations involving so...
AbstractThis paper considers structured matrix methods for the calculation of the theoretically exac...
We discuss matrix polynomials expressed in a Bernstein basis, and the associated polynomial eigenv...
AbstractLet F be a field of characteristic 0 and let f be a monic polynomial of positive degree in F...
AbstractAn interrelationship between the numerical range of matrix polynomials and its factorization...
We discuss matrix polynomials expressed in a Bernstein basis, and the associated polynomial eigenval...
Several algorithms are presented for the J-spectral factorization of a para-Hermitian polynomial mat...
AbstractThe concept of a multiple root of matrix polynomial L(λ) is introduced, and associated spect...
AbstractA similarity condition is developed for the factorization of monic matrix polynomials L(λ) i...
142 p. : ill. ; 30 cmThe factorization (root finding) of scalar polynomials is an important tool of ...
AbstractThis paper gives necessary and sufficient conditions for a linear factorization of a matrix ...
We develop a complete and rigorous theory of root polynomials of arbitrary matrix polynomials, i.e.,...
This paper considers the application of structured matrix methods for the computation of multiple ro...
AbstractThe topic of the paper is spectral factorization of rectangular and possibly non-full-rank p...
We discuss matrix polynomials expressed in a Bernstein basis, and the associated polynomial eigenv...
4International audienceIn the context of multivariate signal processing, factorizations involving so...
AbstractThis paper considers structured matrix methods for the calculation of the theoretically exac...
We discuss matrix polynomials expressed in a Bernstein basis, and the associated polynomial eigenv...
AbstractLet F be a field of characteristic 0 and let f be a monic polynomial of positive degree in F...
AbstractAn interrelationship between the numerical range of matrix polynomials and its factorization...
We discuss matrix polynomials expressed in a Bernstein basis, and the associated polynomial eigenval...
Several algorithms are presented for the J-spectral factorization of a para-Hermitian polynomial mat...