Best Least Squares Solutions to Finite Difference Equations Using the Generalized Inverse and Tensor Product Methods
- 1 April 1973
- journal article
- Published by Association for Computing Machinery (ACM) in Journal of the ACM
- Vol. 20 (2) , 279-289
- https://doi.org/10.1145/321752.321758
Abstract
A direct (noniterative) method for solving some singular systems of equations arising from finite difference approximations to partial differential equations is developed. The Moore-Penrose generalized inverse of some large tensor product matrices is expressed in terms of smaller matrices. Some techniques are given to improve computational efficiency.Keywords
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