Numerical Methods, Software, and Analysis |
Contents
MATH AND CS BACKGROUND | 1 |
CHAPTER | 15 |
NUMERICAL SOFTWARE | 18 |
Copyright | |
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accuracy algorithm analysis Apply approximation b₁ band matrix BAND SYMMETRIC basis functions boundary conditions break points Chebyshev coefficients COMPLEX compute cubic spline data set derivatives digits discretization discussed divided difference DOUBLE PRECISION EIGENVALUES equation solver evaluate example factor Figure formula Fortran Gauss elimination given Hermite cubic IMSL library IMSL ROUTINES IMSL SUBROUTINE initial integration interpolation points interval INVERSE iteration knots least-squares linear equations mathematical MATRIX MULTIPLICATION Muller's method Newton Newton's method nonlinear equation norm NORMAL NUCLEUS CALLED obtain orthogonal orthogonal polynomials output parameters partial differential equation piecewise polynomials polynomial interpolation POSITIVE DEFINITE PRECISION/HARDWARE REQD PRECISION/HARDWARE SINGLE PROBABILITY DISTRIBUTION FUNCTION PROTRAN RANDOM DEVIATE REAL REGRESSION representation root round-off secant method simple SINGLE AND DOUBLE/H32 SINGLE/ALL smooth solution solve squares step subprogram SUBROUTINE SYMMETRIC MATRIX SYMMETRIC STORAGE MODE t₁ Table Taylor's series Theorem UERTST,UGETIO values variables VECTOR x₁ y₁ zero