Title :
An algorithm using the Schur complement in inverting large matrices
Author :
Imam, Ibrahim N. ; Lamont, Lisa M.
Author_Institution :
Dept. of Eng. Math. & Comput. Sci., Louisville Univ., KY, USA
Abstract :
The Schur complement is used to invert a matrix that is otherwise too large to invert on a personal computer. The implementation of this program relies heavily on the usage of files. Although the file I/O (input/output) increases the time of inverting these matrices, this does not lessen the value of this method since it will invert matrices that are too large to reside in the memory. This method hinges on blocking the matrix M and using the Schur complement to invert the blocked matrix
Keywords :
file organisation; mathematics computing; matrix algebra; microcomputer applications; Schur complement; blocked matrix; file I/O; input/output; large matrix inversion; matrix M; personal computer; Equations; Fasteners; Mathematics; Matrices; Matrix decomposition; Microcomputers; Problem-solving; Random access memory; Read-write memory;
Conference_Titel :
Southeastcon '89. Proceedings. Energy and Information Technologies in the Southeast., IEEE
Conference_Location :
Columbia, SC
DOI :
10.1109/SECON.1989.132413