AbstractA Householder reflector and a suitable product of Givens rotations are two well known methods for generating an orthogonal matrix with a given first column. Based on a careful realization of an observation by Householder and Fox, we present a new representation of an orthogonal Hessenberg matrix. We relate our matrix to Schur parameters
Let L̂ be a positive definite bilinear functional on the unit circle defined on Pn, the space of pol...
The subject of matrices and their applications is of great importance, for this branch of mathematic...
In the classical theory of orthogonal rational functions (ORF) on the unit circle as generalizations...
AbstractA Householder reflector and a suitable product of Givens rotations are two well known method...
Abstract. In this paper we introduce a new representation of orthogonal matrices. We show that any o...
AbstractOur goal is to identify and understand matrices A that share essential properties of the uni...
We consider the numerical construction of a unitary Hessenberg matrix from spectral data using an in...
In 1971, Householder and Fox [26] introduced a method for computing an orthonormal basis for the ran...
In 1971, Householder and Fox [26] introduced a method for computing an orthonormal basis for the ran...
The construction of elementary unitary matrices that transform a complex vector to a multiple of e 1...
We consider a standard matrix flow on the set of unitary upper Hessenberg matrices with nonnegative ...
AbstractOrthogonal matrix polynomials, on the real line or on the unit circle, have properties which...
AbstractLet H be an n × n unitary right Hessenberg matrix with positive subdiagonal elements. Using ...
Univariate and multivariate polynomials play a fundamental role in pure and applied mathematics. In ...
AbstractOrthogonal polynomials on the real line always satisfy a three-term recurrence relation. The...
Let L̂ be a positive definite bilinear functional on the unit circle defined on Pn, the space of pol...
The subject of matrices and their applications is of great importance, for this branch of mathematic...
In the classical theory of orthogonal rational functions (ORF) on the unit circle as generalizations...
AbstractA Householder reflector and a suitable product of Givens rotations are two well known method...
Abstract. In this paper we introduce a new representation of orthogonal matrices. We show that any o...
AbstractOur goal is to identify and understand matrices A that share essential properties of the uni...
We consider the numerical construction of a unitary Hessenberg matrix from spectral data using an in...
In 1971, Householder and Fox [26] introduced a method for computing an orthonormal basis for the ran...
In 1971, Householder and Fox [26] introduced a method for computing an orthonormal basis for the ran...
The construction of elementary unitary matrices that transform a complex vector to a multiple of e 1...
We consider a standard matrix flow on the set of unitary upper Hessenberg matrices with nonnegative ...
AbstractOrthogonal matrix polynomials, on the real line or on the unit circle, have properties which...
AbstractLet H be an n × n unitary right Hessenberg matrix with positive subdiagonal elements. Using ...
Univariate and multivariate polynomials play a fundamental role in pure and applied mathematics. In ...
AbstractOrthogonal polynomials on the real line always satisfy a three-term recurrence relation. The...
Let L̂ be a positive definite bilinear functional on the unit circle defined on Pn, the space of pol...
The subject of matrices and their applications is of great importance, for this branch of mathematic...
In the classical theory of orthogonal rational functions (ORF) on the unit circle as generalizations...
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