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September, 1946 Enlargement Methods for Computing the Inverse Matrix
Louis Guttman
Ann. Math. Statist. 17(3): 336-343 (September, 1946). DOI: 10.1214/aoms/1177730946

Abstract

The enlargement principle provides techniques for inverting any nonsingular matrix by building the inverse upon the inverses of successively larger submatrices. The computing routines are relatively easily learned since they are repetitive. Three different enlargement routines are outlined: first-order, second-order, and geometric. None of the procedures requires much more work than is involved in squaring the matrix.

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Louis Guttman. "Enlargement Methods for Computing the Inverse Matrix." Ann. Math. Statist. 17 (3) 336 - 343, September, 1946. https://doi.org/10.1214/aoms/1177730946

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Published: September, 1946
First available in Project Euclid: 28 April 2007

zbMATH: 0061.27203
MathSciNet: MR17578
Digital Object Identifier: 10.1214/aoms/1177730946

Rights: Copyright © 1946 Institute of Mathematical Statistics

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Vol.17 • No. 3 • September, 1946
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