Orthonormal integrators based on householder and givens transformations

Authors:
Luca Dieci;Erik S. Van Vleck
Affiliations:
School of Mathematics, Georgia Tech, Atlanta, GA;Department of Mathematics, University of Kansas, Lawrence, KS
Venue:
Future Generation Computer Systems - Special issue: Geometric numerical algorithms
Year:
2003

Citing 5
Cited 0

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Abstract

We consider refined implementations of algorithms based on Householder and Givens transformations to find the Q-factor in the QR-factorization of a matrix solution of linear time dependent differential systems. After discussing the algorithms, we introduce a suite of integrators, QRINT, and provide numerical testing to show the efficiency and accuracy of our techniques.