LIBRO CON SOLUCIONARIO Introduction to Scientific Computing Charles F. Van Loan

LIBRO CON SOLUCIONARIO Introduction to Scientific Computing Charles F. Van Loan

http://www.cs.cornell.edu/courses/cs4210/2015fa/CVLBook/new_page_1.htm

Introduction to Scientific Computing

A Matrix-Vector Approach Using Matlab

Charles Van Loan

The publisher has kindly given permission to put the book on line. For details about the original text, click here.
The book is outdated due to changes in Matlab. To address this problem I have updated the chapters that are relevant to CS 4210:

Chapter 1	An introduction to Matlab using scientific computing themes
Chapter 2	Polynomial interpolation
Chapter 3	Piecewise polynomial interpolation including splines
Chapter 4	Numerical integration
Chapter 9	The initial value problem

You can get a single pdf of Chapters 1,2,3,4, and 9 if you want.
Here is a zip file of all the Matlab codes associated with Chapters 1,2,3,4, and 9.
The other chapters are not updated yet to reflect the latest version of Matlab. But here they are:

Chapter 5	Matrix computations
Chapter 6	Linear systems
Chapter 7	The QR and Cholesky factorizations
Chapter 8	Nonlinear equations and optimization

SOLUCIONARIO DEL LIBRO
http://www.cs.cornell.edu/cv/Books/SCMV/Problems/index.htm

Solutions to Problems

SCMV Home

Chapter 1	Chapter 2	Chapter 3
Chapter 4	Chapter 5	Chapter 6
Chapter 7	Chapter 8	Chapter 9

http://www.cs.cornell.edu/cv/Books/SCMV/index.htm

Introduction to Scientific Computing

A Matrix-Vector Approach Using Matlab

2nd Edition

An introductory numerical methods text that uses Matlab.
Author: Charles F. Van Loan
Date of Publication: 2000
Publisher: Prentice-Hall, Upper Saddle River, New Jersey, 07458
Pages: 367
ISBN: 0-13-949157-0

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Table of Contents
Preface to Second Edition
Preface to First Edition
M-Files
Problem Solutions

Errata

able of Contents

Chapter 1. Power Tools of the Trade

1.1 Vectors and Plotting

1.2 More Vectors, More Plotting, and Now Matrices

1.3 Building Exploratory Environments

1.4 Error

1.5 Designing Functions

1.6 Structure Arrays and Cell Arrays

1.7 More Refined Graphics

 

Chapter 2. Polynomial Interpolation

2.1 The Vandermonde Approach

2.2 The Newton Representation

2.3 Properties

2.4 Special Topics

 

Chapter 3. Piecewise Polynomial Interpolation

3.1 Piecewise Linear Interpolation

3.2 Piecewise Cubic Hermite Interpolation

3.3 Cubic Splines

 

Chapter 4. Numerical Integration

4.1 The Newton-Cotes Rules

4.2 Composite Rules

4.3 Adaptive Quadrature

4.4 Special Topics

4.5 Shared Memory Adaptive Quadrature

 

Chapter 5. Matrix Computations

5.1 Setting Up Matrix Problems

5.2 Matrix Operations

5.3 Once Again, Setting Up Matrix Problems

5.4 Recursive Matrix Operations

5.5 Distributed Memory Matrix Multiplication

 

Chapter 6. Linear Systems

6.1 Triangular Problems

6.2 Banded Problems

6.3 Full Problems

6.4 Analysis

 

Chapter 7. The QR and Cholesky Factorizations

7.1 Least Squares Fitting

7.2 The QR factorization

7.3 The Cholesky Factorization

7.4 High-Performance Cholesky

 

Chapter 8. Nonlinear Equations and Optimization

8.1 Finding Roots

8.2 Minimizing a Function of One Variable

8.3 Minimizing Multivariate Functions

8.4 Solving Systems of Nonlinear Equations

 

Chapter 9. The Initial Value Problem

9.1 Basic Concepts

9.2 The Runge-Kutta Methods

9.3 The Adams Methods