Orthogonal Sets and Polar Methods in Linear Algebra: Applications to Matrix Calculations, Systems of Equations, Inequalities, and Linear Programming [Mar 03, 1999] Castillo, Enrique; Cobo, Angel; Jubete, Francisco et Pruneda, Rosa Eva

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ISBN 10: 0471328898 / ISBN 13: 9780471328896

Published by Wiley-Interscience, 1999

About this Item

Wiley & Sons, 1999, in-8 cartonnage éditeur, 422 pages. Couverture en bel état général, solide. Intérieur frais. Exemplaire de bibliothèque : petit code barre en pied de 1re de couv., cotation au dos, rares et discrets petits tampons à l intérieur de l ouvrage. [BT14] Pour les expéditions internationales, nous consulter au préalable pour l ajustement des frais de port qui seront peut-être revus à la baisse/ For international shipments, please contact us in advance to adjust shipping costs. |.

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Bibliographic Details

• Title: Orthogonal Sets and Polar Methods in Linear Algebra: Applications to Matrix Calculations, Systems of Equations, Inequalities, and Linear Programming [Mar 03, 1999] Castillo, Enrique; Cobo, Angel; Jubete, Francisco et Pruneda, Rosa Eva
• Publisher: Wiley-Interscience
• Publication Date: 1999
• Language: English
• ISBN 10: 0471328898
• ISBN 13: 9780471328896
• Binding: Hardcover
• Condition: Bon

About this title

Synopsis

A unique, applied approach to problem solving in linear algebra

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.

About the Author

ENRIQUE CASTILLO is a professor in the Department of Applied Mathematics and Computational Science at the University of Cantabria, Spain. During 25 years of research and teaching, he has published hundreds of papers as well as 18 books. ANGEL COBO is an associate professor in the Department of Applied Mathematics and Computational Science in the University of Cantabria.

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.