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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 leastsquares fitting, singular value decomposition, and determination of ranks, norms, and condition numbers, and numerical illustrations are presented using the chebfun system.

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Authors


Lloyd N. Trefethen More by this author
Publication date:
2008-07-05
URN:
uuid:5ebac822-d326-4d94-a070-ad93c6beba8a
Local pid:
oai:eprints.maths.ox.ac.uk:1066

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