The Mathematical Institute, University of Oxford, Eprints Archive

Householder triangularization of a quasimatrix

Trefethen, Lloyd N. (2008) Householder triangularization of a quasimatrix. Technical Report. Unspecified. (Submitted)

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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.

Item Type:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1066
Deposited By:Lotti Ekert
Deposited On:21 Apr 2011 08:32
Last Modified:21 Apr 2011 08:32

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