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 arguments band matrix BAND SYMMETRIC basis functions boundary conditions calculation Chapter Chebyshev coefficients COMPLEX compute cubic spline data set derivatives digits discretization discussed DOUBLE PRECISION DOUBLE/H32 REQD EIGENVALUES equation solver evaluations example factor Figure finite difference fixed point iteration formula Gauss elimination Hermite cubic IMSL library IMSL ROUTINES IMSL SUBROUTINE initial integration interpolation interval INVERSE iteration knots least-squares linear equations linear system mathematical matrix Muller's method multiple Newton Newton's method nonlinear equation norm NORMAL NUCLEUS CALLED obtain orthogonal output parameters partial differential equation polynomial interpolation PRECISION/HARDWARE REQD PRECISION/HARDWARE SINGLE PROBABILITY DISTRIBUTION FUNCTION PROTRAN RANDOM DEVIATE REAL regula falsi representation root round-off ROUTINE NAME LABEL secant method simple SINGLE AND DOUBLE/H32 SINGLE/ALL smooth solution solve squares statement step subprogram SUBROUTINE SYMMETRIC MATRIX SYMMETRIC STORAGE MODE Table Theorem UERTST,UGETIO values variables vector x₁ y₁ zero