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Bidiagonalization

Known as: Bi-diagonalization 
Bidiagonalization is one of unitary (orthogonal) matrix decompositions such that U* A V = B, where U and V are unitary (orthogonal) matrices… 
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Related topics

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Bidiagonal matrixCharacteristic polynomialLanczos algorithmList of numerical analysis topics

Broader (1)

Numerical linear algebra

Papers overview

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2015
2015
Batched Linear Algebra Problems on GPU Accelerators
The emergence of multicore and heterogeneous architectures requires many linear algebra algorithms to be redesigned to take… 
2013
2013
New Frontiers in Numerical Analysis and Scientific Computing — – A conference on the occasion of Lothar Reichel ’ s 60 th birthday and on the 20 th anniversary of ETNA April 19-20 , 2013
The LSQR iterative method for solving least-squares problems may require many iterations to determine an approximate solution… 
2011
2011
DYNAMIC ORDERING FOR THE PARALLEL ONE-SIDED BLOCK-JACOBI SVD ALGORITHM
The serial Jacobi algorithm (either one-sided or two-sided) for the computation of a singular value decomposition (SVD) of a… 
2006
2006
Bidiagonalization as a fundamental decomposition of data in linear approximation problems
• First, the lower bidiagonal matrix A11 with nonzero bidiagonal elements has full column rank and its singular values are simple… 
2005
2005
A High Performance C Package for Tridiagonalization of Complex Symmetric Matrices
Block algorithms have better performance than scalar and single vector algorithms due to their exploitation of memory hierarchy… 
2004
2004
Information Retrieval Using Krylov Subspace Methods
In this dissertation we discuss how simple Krylov subspace methods can be used for information retrieval (IR). The dissertation… 
2003
2003
An Implicitly Restarted Lanczos Bidiagonalization Method for Computing Smallest Singular Triplets
We describe the development of a method for the efficient computation of the smallest singular values and corresponding vectors… 
1998
1998
BLOCK BIDIAGONALIZATION METHODS FORSOLVING NONSYMMETRIC LINEAR SYSTEMS WITHMULTIPLE RIGHT-HAND
Many applications require the solution of large nonsymmetric linear systems with multiple right-hand sides. Instead of applying… 
1998
1998
TWO NEW EFFECTIVE BIDIAGONALIZATION LEAST SQUARES ALGORITHMS FOR NONLINEAR SYSTEM IDENTIFICATION
Two new effective least squares algorithms——the modified bidiagonalization least squares algorithms(MBLS Ⅰ and MBLS Ⅱ) are… 
1994
1994
Parallel tri-diagonalization and bi-diagonalization of bordered bidiagonal matrices