The measure of a matrix as a tool to analyze computer algorithms for circuit analysis
- 1 September 1972
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Circuit Theory
- Vol. 19 (5) , 480-486
- https://doi.org/10.1109/tct.1972.1083507
Abstract
The measure of a matrix is used to, first, bound solutions of ordinary differential equations, bound the computer solution by the backward Euler method, and bound the accumulated truncation error; second, to give conditions for the existence and uniqueness of a dc operating point; third, to determine a convergence region for the Newton-Raphson technique and establish its convergence properties. The unifying idea of the paper is the use of the measure of a matrix.Keywords
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