• 1-800-526-8630U.S. (TOLL FREE)
• 1-917-300-0470EAST COAST U.S.
• +353-1-416-8900REST OF WORLD

# Orthogonal Sets and Polar Methods in Linear Algebra. Applications to Matrix Calculations, Systems of Equations, Inequalities, and Linear Programming. Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts

• ID: 2172666
• March 1999
• 422 Pages
• John Wiley and Sons Ltd

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.

LINEAR SPACES AND SYSTEMS OF EQUATIONS.

Basic Concepts.

Orthogonal Sets.

Matrix Calculations Using Orthogonal Sets.

More Applications of Orthogonal Sets.

Orthogonal Sets and Systems of Linear Equations.

CONES AND SYSTEMS OF INEQUALITIES.

Polyhedral Convex Cones.

Polytopes and Polyhedra.

Cones and Systems of Inequalities.

LINEAR PROGRAMMING.

An Introduction to Linear Programming.

The Exterior Point Method.

APPLICATIONS.

Applications.

Appendices.

References.

Index.

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.

Note: Product cover images may vary from those shown

• ### Dynamical Systems Method and Applications. Theoretical Developments and Numerical Examples

• Language: English
• 576 Pages
• Published: January 2012
• ### A First Course in Applied Mathematics

• Language: English
• 456 Pages
• Published: April 2012
• ### The Algebra Teacher's Guide to Reteaching Essential Concepts and Skills. 150 Mini-Lessons for Correcting Common Mistakes

• Language: English
• 336 Pages
• Published: December 2011
• ### Numerical Analysis with Applications in Mechanics and Engineering

• Language: English
• 646 Pages
• Published: July 2013
• ### Numerical Linear Algebra with Applications

• Language: English
• 628 Pages
• Published: October 2014
• ### An Introduction to Optimization. 4th Edition. Wiley Series in Discrete Mathematics and Optimization

• Language: English
• 640 Pages
• Published: February 2013
• ### Essential Mathematics for Economics and Business. 4th Edition

• Language: English
• 688 Pages
• Published: January 2013
• ### Numerical Analysis of Partial Differential Equations. Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts

• Language: English
• 512 Pages
• Published: December 2012
• Exterior Analysis

### Exterior Analysis

• Language: English
• 779 Pages
• Published: September 2013
• An Introduction to MATLAB® Programming and Numerical Methods for Engineers

### An Introduction to MATLAB® Programming and Numerical Methods for Engineers

• Language: English
• 340 Pages
• Published: June 2014