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Generalized Inverses of Linear Differential Operators.

Author: W S Loud; MINNESOTA UNIV MINNEAPOLIS SCHOOL OF MATHEMATICS.
Publisher: Ft. Belvoir Defense Technical Information Center MAR 1978.
Edition/Format:   Book : English
Database:WorldCat
Summary:
In recent years there has been much activity in the area of generalized inverses of linear operators. It is the purpose of this paper to discuss generalized inverses of linear operators generated by ordinary linear differential equations with a view to examination of an entire class of such inverses. The class of inverses considered includes as special cases the analogue of the Moore-Penrose generalized inverse for  Read more...
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Document Type: Book
All Authors / Contributors: W S Loud; MINNESOTA UNIV MINNEAPOLIS SCHOOL OF MATHEMATICS.
OCLC Number: 227489380
Description: 54 p.

Abstract:

In recent years there has been much activity in the area of generalized inverses of linear operators. It is the purpose of this paper to discuss generalized inverses of linear operators generated by ordinary linear differential equations with a view to examination of an entire class of such inverses. The class of inverses considered includes as special cases the analogue of the Moore-Penrose generalized inverse for matrices and the group inverse for square matrices. We also discuss the application of such inverses in problems of branching of solutions of nonlinear boundary-value problems. (Author).

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