Orthogonal Sets and Polar Methods in Linear Algebra: Applications to Matrix Calculations, Systems of Equations, Inequalities, and Linear Programming ... Wiley Series of Texts, Monographs and Tracts)
Language: English
Published by Wiley-Interscience, 1999
- Hardcover
- New
Seller: California Books, Miami, FL, U.S.A.California Books
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- Title
- Orthogonal Sets and Polar Methods in Linear Algebra: Applications to Matrix Calculations, Systems of Equations, Inequalities, and Linear Programming ... Wiley Series of Texts, Monographs and Tracts)
- Author
- Castillo, Enrique; Cobo, Angel; Jubete, Francisco; Pruneda, Rosa Eva
- Publisher
- Wiley-Interscience
- Publication year
- 1999
- Condition
- New
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 0471328898
- ISBN 13
- 9780471328896
Departing from the standard methods of analysis, this unique book presents methodologies and algorithms based on the concept of orthogonality and demonstrates their application to both standard and novel problems in linear algebra. Covering basic theory of linear systems, linear inequalities, and linear programming, it focuses on elegant, computationally simple solutions to real-world physical, economic, and engineering problems. The authors clearly explain the reasons behind the analysis of different structures and concepts and use numerous illustrative examples to correlate the mathematical models to the reality they represent. Readers are given precise guidelines for:
* Checking the equivalence of two systems
* Solving a system in certain selected variables
* Modifying systems of equations
* Solving linear systems of inequalities
* Using the new exterior point method
* Modifying a linear programming problem
With few prerequisites, but with plenty of figures and tables, end-of-chapter exercises as well as Java and Mathematica programs available from the authors' Web site, this is an invaluable text/reference for mathematicians, engineers, applied scientists, and graduate students in mathematics.
"Synopsis" may belong to another edition of this title.
About the Author
FRANCISCO JUBETE is a civil engineer and research assistant in the Department of Applied Mathematics and Computational Science at the University of Cantabria.
ROSA EVA PRUNEDA is a research assistant in the Department of Applied Mathematics and Computational Sciences at the University of Cantabria.
"About the title" may belong to another edition of this title.
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