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
A real, square matrix $Q$ is $J$-orthogonal if $Q^TJQ = J$, where the signature matrix $J = \diag(\p...
The construction of elementary unitary matrices that transform a complex vector to a multiple of e 1...
AbstractThe Cartan–Dieudonné–Scherk Theorem states that for fields of characteristic other than 2, e...
AbstractA Householder reflector and a suitable product of Givens rotations are two well known method...
AbstractThe Cartan–Dieudonné–Scherk (CDS) Theorem of Algebraic Group Theory asserts that for fields ...
The subject of matrices and their applications is of great importance, for this branch of mathematic...
AbstractSeveral results involving a product of two orthogonal projectors (i.e., Hermitian idempotent...
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...
In this paper we discuss the power of a pivoting transformation introduced by Castillo, Cobo, Jubete...
AbstractMany algorithms for solving eigenvalue, least squares, and nonlinear programming problems re...
AbstractIt has been generally assumed that the use of Givens rotations provides significant advantag...
Abstract. In this paper we introduce a new representation of orthogonal matrices. We show that any o...
AbstractIt has been generally assumed that the use of Givens rotations provides significant advantag...
AbstractOur goal is to identify and understand matrices A that share essential properties of the uni...
A real, square matrix $Q$ is $J$-orthogonal if $Q^TJQ = J$, where the signature matrix $J = \diag(\p...
The construction of elementary unitary matrices that transform a complex vector to a multiple of e 1...
AbstractThe Cartan–Dieudonné–Scherk Theorem states that for fields of characteristic other than 2, e...
AbstractA Householder reflector and a suitable product of Givens rotations are two well known method...
AbstractThe Cartan–Dieudonné–Scherk (CDS) Theorem of Algebraic Group Theory asserts that for fields ...
The subject of matrices and their applications is of great importance, for this branch of mathematic...
AbstractSeveral results involving a product of two orthogonal projectors (i.e., Hermitian idempotent...
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...
In this paper we discuss the power of a pivoting transformation introduced by Castillo, Cobo, Jubete...
AbstractMany algorithms for solving eigenvalue, least squares, and nonlinear programming problems re...
AbstractIt has been generally assumed that the use of Givens rotations provides significant advantag...
Abstract. In this paper we introduce a new representation of orthogonal matrices. We show that any o...
AbstractIt has been generally assumed that the use of Givens rotations provides significant advantag...
AbstractOur goal is to identify and understand matrices A that share essential properties of the uni...
A real, square matrix $Q$ is $J$-orthogonal if $Q^TJQ = J$, where the signature matrix $J = \diag(\p...
The construction of elementary unitary matrices that transform a complex vector to a multiple of e 1...
AbstractThe Cartan–Dieudonné–Scherk Theorem states that for fields of characteristic other than 2, e...
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