Topic #13 ----------------- OP-SF NET ------------------ May 17, 1995 ~~~~~~~~~ From: Hans Haubold
Subject: New book on mathematical software Authors: T. Watanabe, M. Natoni, and T. Oguni (Editors) Title: Mathematical Software for the P.C. and Workstations: A Collection of Fortran 77 Programs Publisher:Elsevier Science B.V., North-Holland, Amsterdam, 1994 The book is the translation of its Japanese version from 1989 and contains instructions and mathematical outline for numerical computations focusing on (1) the Gamma function and related functions, Bessel functions of first and second kind and related functions, various orthogonal polynomials, exponential and trigonometric integrals, the error function and related functions, the Fresnel integrals, the complete elliptical integrals and random number generation, (2) algebraic equations, transcendental equations, ordinary differential equations, simultaneous linear equations, inverse matrices, eigenvalue problems of matrices, and (3) data analysis, including least-square methods, optimization methods, interpolations, and Fourier transforms. A diskette is included with all the source code in double precision for real values of the argument of the function. The bibliographies attached to each chapter in the book refer particularly to Japanese research work done in the field of numerical analysis and supplements in this sense D.W. Lozier and F.W.J. Olver's very useful paper that assists to locate approximations and software for the numerical generation of special functions.