Numerical Linear Algebra with Applications

Numerical Linear Algebra with Applications: Using MATLAB

by Ford, William H.

Type Book
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Designed for those who want to gain a practical knowledge of modern computational techniques for the numerical solution of linear algebra problems, Numerical Linear Algebra with Applications contains all the material necessary for a first year graduate or advanced undergraduate course on numerical linear algebra with numerous applications to engineering and science. With a unified presentation of computation, basic algorithm analysis, and numerical methods to compute solutions, this book is ide…

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Title Statements

  • Full title :Numerical Linear Algebra with Applications : Using MATLAB.

Summary

Designed for those who want to gain a practical knowledge of modern computational techniques for the numerical solution of linear algebra problems, Numerical Linear Algebra with Applications contains all the material necessary for a first year graduate or advanced undergraduate course on numerical linear algebra with numerous applications to engineering and science. With a unified presentation of computation, basic algorithm analysis, and numerical methods to compute solutions, this book is ideal for solving real-world problems. It provides necessary mathematical background information for.

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Edition Statements

  • Publication Date:2015.
  • Edition:First edition

Publication Statements

  • Publisher(s):Academic Press
  • Place of Publication:London
  • Language:eng
  • Publication Date:2015.

Notes

Perturbation Analysis for Solving a Linear System.

The Physical Object

  • Description:1 online resource (629 pages)

Edition Identifiers

  • ISBN:9780123944351, 012394435X
  • oclc:ocn953671526
  • LC Classification:QA184

Table of Contents

DiagonalizationPowers of Matrices; Applications; Electric Circuit; Irreducible Matrices; Ranking of Teams Using Eigenvectors; Computing Eigenvalues and Eigenvectors using MATLAB; Chapter Summary; Problems; MATLAB Problems; Orthogonal Vectors and Matrices; Introduction; The Inner Product; Orthogonal Matrices; Symmetric Matrices and Orthogonality; The L2 Inner Product; The Cauchy-Schwarz Inequality; Signal Comparison; Chapter Summary; Problems; MATLAB Problems; Vector and Matrix Norms; Vector Norms; Properties of the 2-Norm; Spherical Coordinates; Matrix Norms; The Frobenius Matrix Norm.

Inner Product of Two VectorsComputing the Frobenius Norm; Matrix Multiplication; Block Matrices; Algorithm Efficiency; Smaller Flop Count Is Not Always Better; Measuring Truncation Error; The Solution to Upper and Lower Triangular Systems; EfficiencyAnalysis; The Thomas Algorithm; Efficiency Analysis; Chapter Summary; Problems; MATLAB Problems; Conditioning of Problems and Stability of Algorithms; Why Do We Need Numerical Linear Algebra?; Computation Error; Forward Error; Backward Error; Algorithm Stability; Examples of Unstable Algorithms; Conditioning of a Problem.

Front Cover; Numerical Linear …

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Subjects

Algebras, Linear Algèbre linéaire Calculs numériques MATLAB Numerical calculations

Writers

Ford, William H.

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