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Householder triangularization of a quasimatrix

Abstract:

A standard algorithm for computing the QR factorization of a matrix A is Householder triangularization. Here this idea is generalized to the situation in which A is a quasimatrix, that is, a 'matrix' whose 'columns' are functions defined on an interval [a, b]. Applications are mentioned to quasimatrix least squares fitting, singular value decomposition and determination of ranks, norms and condition numbers, and numerical illustrations are presented using the chebfun system. © 2009. Published...

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Publication status:
Published

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Publisher copy:
10.1093/imanum/drp018

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Journal:
IMA JOURNAL OF NUMERICAL ANALYSIS
Volume:
30
Issue:
4
Pages:
887-897
Publication date:
2010-10-05
DOI:
EISSN:
1464-3642
ISSN:
0272-4979
URN:
uuid:869cd52b-7e62-4305-bddb-1d3809ba4cad
Source identifiers:
188664
Local pid:
pubs:188664

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