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Additive form of the inverse

Additive form of the inverse The product form of the inverse is invariably used in the current mathematical programming systems. However, the inverse can also be represented in an additive form and the additive form has some very interesting properties. Among these is a delightful symmetry by which it's as easy to update a row as a column (the product form works well only in updating columns). In fact, it's easy to update single matrix elements. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png ACM SIGMAP Bulletin Association for Computing Machinery

Additive form of the inverse

Haverly, C. A.
ACM SIGMAP Bulletin , Volume (12) – Jun 1, 1972
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Publisher
Association for Computing Machinery
Copyright
Copyright © 1972 by ACM Inc.
ISSN
0163-5786
DOI
10.1145/1216965.1216967
Publisher site
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Abstract

The product form of the inverse is invariably used in the current mathematical programming systems. However, the inverse can also be represented in an additive form and the additive form has some very interesting properties. Among these is a delightful symmetry by which it's as easy to update a row as a column (the product form works well only in updating columns). In fact, it's easy to update single matrix elements.

Journal

ACM SIGMAP Bulletin – Association for Computing Machinery

Published: Jun 1, 1972

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