Elements of the Theory of Generalized Inverses of Matrices:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
1979
|
| Schriftenreihe: | Modules and Monographs in Undergraduate Mathematics and its Applications Project
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 textbooks 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 present monograph is (1) to develop the material in terms of full rank factorizations and to relegate all discussions using eigenvalues and eigenvectors to exercises, and (2) to include an appendix of hints for exercises |
| Beschreibung: | 1 Online-Ressource (VI, 88 p) |
| ISBN: | 9781468467178 9780817630133 |
| DOI: | 10.1007/978-1-4684-6717-8 |
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Datensatz im Suchindex
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| indexdate | 2024-07-10T01:21:08Z |
| institution | BVB |
| isbn | 9781468467178 9780817630133 |
| language | English |
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| publishDate | 1979 |
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| spelling | Cline, Randall E. Verfasser aut Elements of the Theory of Generalized Inverses of Matrices by Randall E. Cline Boston, MA Birkhäuser Boston 1979 1 Online-Ressource (VI, 88 p) txt rdacontent c rdamedia cr rdacarrier Modules and Monographs in Undergraduate Mathematics and its Applications Project 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 textbooks 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 present monograph is (1) to develop the material in terms of full rank factorizations and to relegate all discussions using eigenvalues and eigenvectors to exercises, and (2) to include an appendix of hints for exercises Mathematics Algebra Matrix theory Linear and Multilinear Algebras, Matrix Theory General Algebraic Systems Mathematik https://doi.org/10.1007/978-1-4684-6717-8 Verlag Volltext |
| spellingShingle | Cline, Randall E. Elements of the Theory of Generalized Inverses of Matrices Mathematics Algebra Matrix theory Linear and Multilinear Algebras, Matrix Theory General Algebraic Systems Mathematik |
| title | Elements of the Theory of Generalized Inverses of Matrices |
| title_auth | Elements of the Theory of Generalized Inverses of Matrices |
| title_exact_search | Elements of the Theory of Generalized Inverses of Matrices |
| title_full | Elements of the Theory of Generalized Inverses of Matrices by Randall E. Cline |
| title_fullStr | Elements of the Theory of Generalized Inverses of Matrices by Randall E. Cline |
| title_full_unstemmed | Elements of the Theory of Generalized Inverses of Matrices by Randall E. Cline |
| title_short | Elements of the Theory of Generalized Inverses of Matrices |
| title_sort | elements of the theory of generalized inverses of matrices |
| topic | Mathematics Algebra Matrix theory Linear and Multilinear Algebras, Matrix Theory General Algebraic Systems Mathematik |
| topic_facet | Mathematics Algebra Matrix theory Linear and Multilinear Algebras, Matrix Theory General Algebraic Systems Mathematik |
| url | https://doi.org/10.1007/978-1-4684-6717-8 |
| work_keys_str_mv | AT clinerandalle elementsofthetheoryofgeneralizedinversesofmatrices |