AbstractA version of Fejer–Riesz factorization and factorization of positive operator-valued polynomials in several non-commuting variables holds. The proofs use Arveson's extension theorem and matrix completions
142 p. : ill. ; 30 cmThe factorization (root finding) of scalar polynomials is an important tool of ...
AbstractThe concept of a multiple root of matrix polynomial L(λ) is introduced, and associated spect...
In this paper we treat the two-variable positive extension problem for trigonometric polynomials whe...
Schur complements provide a convenient tool for proving the operator valued version of the classical...
Recently M. Dritschel proved that any positive multivariate Laurent polynomial can be factorized int...
AbstractRecently Dritschel proved that any positive multivariate Laurent polynomial can be factorize...
AbstractSourour [A.R. Sourour, A factorization theorem for matrices, Linear and Multilinear Algebra ...
be the companion matrix of a(A) and let z1,x2,. 1-,xn and cI,cg,- e.,cn be, respectively, the rows o...
The Krein-von Neumann and the Friedrichs extensions of a nonnegative linear operator or relation (i....
This paper describes an algorithm for the factorization of multivariate polynomials with coefficient...
AbstractThe ring of polynomials in X, X1,…,Xm are denoted by Fp[X, X1,…,Xm] in Fp, that is the field...
4International audienceIn the context of multivariate signal processing, factorizations involving so...
AbstractThe feasibility of factorizing non-negative definite matrices with elements that are rationa...
Abstract. In this paper we derive factorizations and representations of a polynomial analogue of an ...
AbstractThe problem of factoring positive operators into an “outer” factor and its adjoint has been ...
142 p. : ill. ; 30 cmThe factorization (root finding) of scalar polynomials is an important tool of ...
AbstractThe concept of a multiple root of matrix polynomial L(λ) is introduced, and associated spect...
In this paper we treat the two-variable positive extension problem for trigonometric polynomials whe...
Schur complements provide a convenient tool for proving the operator valued version of the classical...
Recently M. Dritschel proved that any positive multivariate Laurent polynomial can be factorized int...
AbstractRecently Dritschel proved that any positive multivariate Laurent polynomial can be factorize...
AbstractSourour [A.R. Sourour, A factorization theorem for matrices, Linear and Multilinear Algebra ...
be the companion matrix of a(A) and let z1,x2,. 1-,xn and cI,cg,- e.,cn be, respectively, the rows o...
The Krein-von Neumann and the Friedrichs extensions of a nonnegative linear operator or relation (i....
This paper describes an algorithm for the factorization of multivariate polynomials with coefficient...
AbstractThe ring of polynomials in X, X1,…,Xm are denoted by Fp[X, X1,…,Xm] in Fp, that is the field...
4International audienceIn the context of multivariate signal processing, factorizations involving so...
AbstractThe feasibility of factorizing non-negative definite matrices with elements that are rationa...
Abstract. In this paper we derive factorizations and representations of a polynomial analogue of an ...
AbstractThe problem of factoring positive operators into an “outer” factor and its adjoint has been ...
142 p. : ill. ; 30 cmThe factorization (root finding) of scalar polynomials is an important tool of ...
AbstractThe concept of a multiple root of matrix polynomial L(λ) is introduced, and associated spect...
In this paper we treat the two-variable positive extension problem for trigonometric polynomials whe...
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