Bidiagonal matrix

In mathematics, a bidiagonal matrix is a matrix with non-zero entries along the main diagonal and either the diagonal above or the diagonal below…

Papers overview

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2018

In this paper, we propose a computational method that combines the DQDS (differential qd with shift) method and the OQDS…

2015

Introduction. For a real m×n matrix A, the Moore–Penrose inverse A+ is the unique n×m matrix that satisfies the following four…

2015

A procedure requiring only n/3 flops for factorizing a given totally nonnegative (TN) n x n matrix A=[aij] is proposed as against…

2010

where U ∈ R is left orthogonal, V ∈ R is orthogonal, and B ∈ R is bidiagonal. When the Lanczos recurrence is implemented in…

2008

We establish necessary and sufficient conditions, in the language of bidiagonal decompositions, for a matrix V to be an…

2007

In this paper we propose an algorithm based on Laguerre's iteration, rank two divide-and-conquer technique and a hybrid strategy…

2006

Let a singular value of a bidiagonal matrix be known. Then the corresponding singular vector can be computed through the twisted…

2003

We present a hybrid scheme for computing singular vectors of bidiagonal matrices based on Godunov’s two-sided Sturm sequence…

1997

This paper presents eecient techniques for the orthogonal reduction of banded matrices to bidiagonal and symmetric tridiagonal…

1995

One of the oldest methods for computing an eigenvector of a matrix F is based on the solution of a set of homogeneous equations…