The use of Householder reflection in place of Givens rotation in matrix decomposition

Tirupathi R. Chandruptla; Eric Constans

doi:10.1016/S0965-9978(01)00012-6

The use of Householder reflection in place of Givens rotation in matrix decomposition

Tirupathi R. Chandruptla, Eric Constans

Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

Matrix operations involving QR decomposition and singular value decomposition (SVD) use Householder reflection and Givens rotation routinely. Many algorithms use Householder reflection to decompose a fully populated matrix into bidiagonal form. The Givens rotation is used to complete diagonalization.

Original language	English (US)
Pages (from-to)	673-674
Number of pages	2
Journal	Advances in Engineering Software
Volume	32
Issue number	8
DOIs	https://doi.org/10.1016/S0965-9978(01)00012-6
State	Published - Aug 2001

All Science Journal Classification (ASJC) codes

Software
General Engineering

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10.1016/S0965-9978(01)00012-6

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title = "The use of Householder reflection in place of Givens rotation in matrix decomposition",

abstract = "Matrix operations involving QR decomposition and singular value decomposition (SVD) use Householder reflection and Givens rotation routinely. Many algorithms use Householder reflection to decompose a fully populated matrix into bidiagonal form. The Givens rotation is used to complete diagonalization.",

author = "Chandruptla, \{Tirupathi R.\} and Eric Constans",

year = "2001",

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AB - Matrix operations involving QR decomposition and singular value decomposition (SVD) use Householder reflection and Givens rotation routinely. Many algorithms use Householder reflection to decompose a fully populated matrix into bidiagonal form. The Givens rotation is used to complete diagonalization.

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The use of Householder reflection in place of Givens rotation in matrix decomposition

Abstract

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