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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… 
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BidiagonalizationLAPACKList of numerical analysis topicsQR algorithm

Broader (1)

Linear algebra

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2018
2018
Fast Co m putation Method of Colu m n Space by using the DQDS Method and the OQDS Method
In this paper, we propose a computational method that combines the DQDS (differential qd with shift) method and the OQDS… 
2015
2015
Generating Totally Positive Toeplitz Matrix from an Upper Bidiagonal Matrix
In this paper, we construct one of the forms of totally positive Toeplitz matrices from upper or lower bidiagonal totally… 
2014
2014
A HYBRID WATERMARKING SCHEME BY REDUNDANT WAVELET TRANSFORM AND BIDIAGONAL SINGULAR VALUE DECOMPOSITION
Recent advances in the Internet have simplified data manipulation on the web, so protection of copyrighted contents is a tough… 
2011
2011
Implementation and performance evaluation of new inverse iteration algorithm with Householder transformation in terms of the compact WY representation
A new inverse iteration algorithm that can be used to compute all the eigenvectors of a real symmetric tridiagonal matrix on… 
2010
2010
FOR GOLUB – KAHAN – LANCZOS BIDIAGONAL REDUCTION : PART II – SINGULAR VECTORS
where U ∈ R is left orthogonal, V ∈ R is orthogonal, and B ∈ R is bidiagonal. When the Lanczos recurrence is implemented in… 
2008
2008
Bidiagonal Decompositions of Oscillating Systems of Vectors 1
We establish necessary and sufficient conditions, in the language of bidiagonal decompositions, for a matrix V to be an… 
2007
2007
An E cient and Accurate Parallel Algorithm for theSingular Value Problem of Bidiagonal MatricesT
In this paper we propose an algorithm based on Laguerre's iteration, rank two divide-and-conquer technique and a hybrid strategy… 
2006
2006
A ] 1 0 M ar 2 00 6 Quaternion Singular Value Decomposition based on Bidiagonalization to a Real Matrix using Quaternion Householder Transformations
We present a practical and efficient means to compute the singular value decomposition (svd) of a quaternion matrix A based on… 
2005
2005
On Symmetric Eigenproblems Induced by the Bidiagonal SVD
The relatively robust representations (RRR) algorithm is the method of choice to compute highly accurate eigenvector… 
1997
1997
Eecient Algorithms for Reducing Banded Matrices to Bidiagonal and Tridiagonal Form Eecient Algorithms for Reducing Banded Matrices to Bidiagonal and Tridiagonal Form
This paper presents eecient techniques for the orthogonal reduction of banded matrices to bidiagonal and symmetric tridiagonal… 
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