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Titlebook: Elements of the Theory of Generalized Inverses of Matrices; Randall E. Cline Textbook 1979 Education Development Center, Inc. 1979 Eigenva

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发表于 2025-3-21 19:34:06 | 显示全部楼层 |阅读模式
书目名称Elements of the Theory of Generalized Inverses of Matrices
编辑Randall E. Cline
视频video
丛书名称Modules and Monographs in Undergraduate Mathematics and Its Applications
图书封面Titlebook: Elements of the Theory of Generalized Inverses of Matrices;  Randall E. Cline Textbook 1979 Education Development Center, Inc. 1979 Eigenva
描述The purpose of this monograph is to provide a concise introduction to the theory of generalized inverses of matrices that is accessible to undergraduate mathematics majors. Although results from this active area of research have appeared in a number of excellent graduate level text­ books since 1971, material for use at the undergraduate level remains fragmented. The basic ideas are so fundamental, however, that they can be used to unify various topics that an undergraduate has seen but perhaps not related. Material in this monograph was first assembled by the author as lecture notes for the senior seminar in mathematics at the University of Tennessee. In this seminar one meeting per week was for a lecture on the subject matter, and another meeting was to permit students to present solutions to exercises. Two major problems were encountered the first quarter the seminar was given. These were that some of the students had had only the required one-quarter course in matrix theory and were not sufficiently familiar with eigenvalues, eigenvectors and related concepts, and that many -v- of the exercises required fortitude. At the suggestion of the UMAP Editor, the approach in the presen
出版日期Textbook 1979
关键词Eigenvalue; Eigenvector; Matrix; Matrix Theory; matrices
版次1
doihttps://doi.org/10.1007/978-1-4684-6717-8
isbn_softcover978-0-8176-3013-3
isbn_ebook978-1-4684-6717-8
copyrightEducation Development Center, Inc. 1979
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More on Moore-Penrose Inverses,erification that the defining equations in (2.2) are satisfied for A and some particular matrix X. Having illustrated this proof technique in a number of cases, we will leave the remaining similar arguments as exercises.
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Focused Manufacturing — MethodologyIn this section we consider another type of generalized inverse for square complex matrices. The inverse in Theorem 9, due to Drazin [3], has a variety of applications.
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Dimensioning the Service Factory,erification that the defining equations in (2.2) are satisfied for A and some particular matrix X. Having illustrated this proof technique in a number of cases, we will leave the remaining similar arguments as exercises.
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