hofprints

Matrices, Mappings and Partial Inverses

Novikoff, A. B. and Seppala-Holtzman, D. N. (2001) Matrices, Mappings and Partial Inverses. In: Robert J. Bumcrot Festschrift, 11 May 2001, Hofstra University.

Full text available as:

PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
94 Kb

Abstract

This paper has been inspired by and is intended to illustrate three methodological principles. First, the duality aspect of linear algebra: All spaces and all maps between them occur in dual pairs. Second, mapping diagram techniques: These are indispensable for following the composition of maps, which, unlike their matrix formulations, present themselves in a basis-free way. Third, Euclidean structures, usually given to a space, V, by assigning it an inner product, can be also specified by a suitable map E: V -> V*, from V to its dual.

Item Type:Conference or Workshop Item (Paper)
Additional Information:This paper was given at the Robert J. Bumcrot Festschrift on May 11, 2001.
Uncontrolled Keywords:Matrices Mappings Partial Inverses
Subjects:Q Science > Q Science (General)
Q Science > QA Mathematics
ID Code:44
Deposited By:Admin HofPrints
Deposited On:03 January 2006

Repository Staff Only: edit this item