Householder triangularization of a quasimatrix
Nick Trefethen 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.
infoinstitution | Oxford University Computing Laboratory |
month | July |
number | NA-08/12 |
year | 2008 |
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