Numerical Analysis A Second Course

ISBN-10: 0898712505
ISBN-13: 9780898712506
Edition: 1990
Authors: James M. Ortega
List price: $45.00
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Description: Addresses some of the basic questions in numerical analysis: convergence theorems for iterative methods for both linear and nonlinear equations; discretization error, especially for ordinary differential equations; rounding error analysis;  More...

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Book details

List price: $45.00
Copyright year: 1990
Publisher: Society for Industrial and Applied Mathematics
Binding: Paperback
Pages: 215
Size: 6.25" wide x 9.25" long x 0.50" tall
Weight: 0.638
Language: English

Addresses some of the basic questions in numerical analysis: convergence theorems for iterative methods for both linear and nonlinear equations; discretization error, especially for ordinary differential equations; rounding error analysis; sensitivity of eigenvalues; and solutions of linear equations with respect to changes in the data.

Introduction
Linear Algebra
Mathematical Stability and Ill Conditioning
Systems of Linear Algebraic Equations
Differential and Difference Equations
Discretization Error
Discretization Error for Initial Problems
Discretization Error for Boundary Value Problems
Convergence of Iterative Methods
Systems of Linear Equations
Systems of Nonlinear Equations
Rounding Error
Rounding Error for Gaussian Elimination
Bibliography
Index

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