Skip to search form
Skip to main content
Skip to account menu
Semantic Scholar
Semantic Scholar's Logo
Search 235,790,805 papers from all fields of science
Search
Sign In
Create Free Account
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…
Expand
Wikipedia
(opens in a new tab)
Create Alert
Alert
Related topics
Related topics
6 relations
Bidiagonalization
LAPACK
List of numerical analysis topics
QR algorithm
Expand
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
Sho Araki
,
Hiroki Tanaka
,
I. Takata
,
Kinji Ki
,
ura
,
asa Naka
2018
Corpus ID: 88506257
In this paper, we propose a computational method that combines the DQDS (differential qd with shift) method and the OQDS…
Expand
2015
2015
Generating Totally Positive Toeplitz Matrix from an Upper Bidiagonal Matrix
M. Ramadan
,
M. Murad
2015
Corpus ID: 123823187
In this paper, we construct one of the forms of totally positive Toeplitz matrices from upper or lower bidiagonal totally…
Expand
2015
2015
Moore–penrose Inverse of Bidiagonal Matrices. I
Yu. R. Hakopian
,
S. Aleksanyan
2015
Corpus ID: 50192133
Introduction. For a real m×n matrix A, the Moore–Penrose inverse A+ is the unique n×m matrix that satisfies the following four…
Expand
2011
2011
Implementation and performance evaluation of new inverse iteration algorithm with Householder transformation in terms of the compact WY representation
Ishigami Hiroyuki
,
Kimura Kinji
,
Nakamura Yoshimasa
2011
Corpus ID: 12566973
A new inverse iteration algorithm that can be used to compute all the eigenvectors of a real symmetric tridiagonal matrix on…
Expand
2010
2010
FOR GOLUB – KAHAN – LANCZOS BIDIAGONAL REDUCTION : PART II – SINGULAR VECTORS
J. Barlow
2010
Corpus ID: 34507944
where U ∈ R is left orthogonal, V ∈ R is orthogonal, and B ∈ R is bidiagonal. When the Lanczos recurrence is implemented in…
Expand
2008
2008
Bidiagonal Decompositions of Oscillating Systems of Vectors 1
F. Dopico
,
Plamen Koev
2008
Corpus ID: 18051899
We establish necessary and sufficient conditions, in the language of bidiagonal decompositions, for a matrix V to be an…
Expand
2007
2007
An E cient and Accurate Parallel Algorithm for theSingular Value Problem of Bidiagonal MatricesT
N. Rhee
,
Zhonggang
2007
Corpus ID: 9316994
In this paper we propose an algorithm based on Laguerre's iteration, rank two divide-and-conquer technique and a hybrid strategy…
Expand
2006
2006
Verification of dLVv Transformation for Singular Vector Computation with High Accuracy
M. Takata
,
T. Konda
,
Kinji Kimura
,
Yoshimasa Nakamura
International Conference on Parallel and…
2006
Corpus ID: 14580237
Let a singular value of a bidiagonal matrix be known. Then the corresponding singular vector can be computed through the twisted…
Expand
2005
2005
On Symmetric Eigenproblems Induced by the Bidiagonal SVD
B. Grosser
,
B. Lang
SIAM Journal on Matrix Analysis and Applications
2005
Corpus ID: 19452748
The relatively robust representations (RRR) algorithm is the method of choice to compute highly accurate eigenvector…
Expand
1997
1997
Eecient Algorithms for Reducing Banded Matrices to Bidiagonal and Tridiagonal Form Eecient Algorithms for Reducing Banded Matrices to Bidiagonal and Tridiagonal Form
F. Mathematik
,
B. Lang
,
B. Lang
1997
Corpus ID: 15474825
This paper presents eecient techniques for the orthogonal reduction of banded matrices to bidiagonal and symmetric tridiagonal…
Expand