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…

Papers overview

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2015

The emergence of multicore and heterogeneous architectures requires many linear algebra algorithms to be redesigned to take…

2013

The LSQR iterative method for solving least-squares problems may require many iterations to determine an approximate solution…

2011

The serial Jacobi algorithm (either one-sided or two-sided) for the computation of a singular value decomposition (SVD) of a…

2006

• First, the lower bidiagonal matrix A11 with nonzero bidiagonal elements has full column rank and its singular values are simple…

2005

Block algorithms have better performance than scalar and single vector algorithms due to their exploitation of memory hierarchy…

2004

In this dissertation we discuss how simple Krylov subspace methods can be used for information retrieval (IR). The dissertation…

2003

We describe the development of a method for the efficient computation of the smallest singular values and corresponding vectors…

2001

The symmetric linear system gives us many simplifications and a possibility to adapt the computations to the computer at hand in…

1998

Many applications require the solution of large nonsymmetric linear systems with multiple right-hand sides. Instead of applying…

1994