This groundbreaking handbook presents the only inexpensive numerical library available for the use of Java in scientific computation. It provides a library of Java-based procedures that perform fundamental mathematical computations critical to researchers. It includes procedural descriptions of linear algebra, the numerical solution of ordinary and partial differential equations, optimization, parameter estimation, and special functions of mathematical physics. The book includes test programs that allow researchers to execute the examples presented. Users can construct their own tests, apply the numeric procedures to them, and observe a successful computation or simulate failure.

Hang T. Lau (Author)

At last researchers have an inexpensive library of Java-based numeric procedures for use in scientific computation. The first and only book of its kind, A Numeric Library in Java for Scientists and Engineers is a translation into Java of the library NUMAL (NUMerical procedures in ALgol 60).

This groundbreaking text presents procedural descr

INTRODUCTION ELEMENTARY PROCEDURES Real Vector and Matrix - Initialization Real Vector and Matrix - Duplication Real Vector and Matrix - Multiplication Real Vector Vector Products Real Matrix Vector Products Real Matrix Matrix Products Real Vector and Matrix - Elimination Real Vector and Matrix - Interchanging Real Vector and Matrix - Rotation Real Vector and Matrix - Norms Real Vector and Matrix - Scaling Complex Vector and Matrix - Multiplication Complex Vector and Matrix - Scalar Products Complex Vector and Matrix - Elimination Complex Vector and Matrix - Rotation Complex Vector and Matrix - Norms Complex Vector and Matrix - Scaling Complex Monadic Operations Complex Dyadic Operations Long Integer Arithmetic ALGEBRAIC EVALUATIONS Evaluation of Polynomials in Grunert Form Evaluation of General Orthogonal Polynomials Evaluation of Chebyshev Polynomials Evaluation of Fourier Series Evaluation of Continued Fractions Transformation of Polynomial Representation Operations on Orthogonal Polynomials LINEAR ALGEBRA Full Real General Matrices Real Symmetric Positive Definite Matrices General Real Symmetric Matrices Real Full Rank Overdetermined Systems Other Real Matrix Problems Real Sparse Non-Symmetric Band Matrices Real Sparse Non-Symmetric Tridiagonal Matrices Sparse Symmetric Positive Definite Band Matrices Symmetric Positive Definite Tridiagonal Matrices Sparse Real Matrices - Iterative Methods Similarity Transformation Other Transformations The (Ordinary) Eigenvalue Problem The Generalized Eigenvalue Problem Singular Values Zeros of Polynomials ANALYTIC EVALUATIONS Evaluation of an Infinite Series Quadrature Numerical Differentiation ANALYTIC PROBLEMS Nonlinear Equations Unconstrained Optimization Overdetermined Nonlinear Systems Differential Equations - Initial Value Problems Two Point Boundary Value Problems Two-Dimensional Boundary Value Problems Parameter estimation in differential equations SPECIAL FUNCTIONS Elementary Functions Exponential Integral Gamma Function Error Function Bessel Functions of Integer Order Bessel Functions of Real Order INTERPOLATION AND APPROXIMATION Real Data in One Dimension ADDENDA Fast Fourier Transforms Time Series Analysis WORKED EXAMPLES Examples for Chapter 1 Procedures Examples for Chapter 2 Procedures Examples for Chapter 3 Procedures Examples for Chapter 4 Procedures Examples for Chapter 5 Procedures Examples for Chapter 6 Procedures Examples for Chapter 7 procedures APPENDIX A: REFERENCES APPENDIX B: PROCEDURES DESCRIPTION INDEX OF PROCEDURES