Report

### 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.

### Access Document

Files:
• (pdf, 108.3KB)

### Authors

Publication date:
2008-07-05
URN:
Local pid:
oai:eprints.maths.ox.ac.uk:1066