Compact Numerical Methods for Computers: Linear Algebra and Function MinimisationInstitute of Physics Publishing, 1990 - 278 pages This second edition of 'Compact Numerical Methods For Computers' presents reliable yet compact algorithms for computational problems. The author: considers specific mathematical problems of wide applicability; develops approaches to a solution and consequent algorithm; and provides the program steps. |
Table des matières
FORMAL PROBLEMS IN LINEAR ALGEBRA | 19 |
THE SINGULARVALUE DECOMPOSITION AND ITS | 30 |
HANDLING LARGER PROBLEMS | 49 |
Droits d'auteur | |
17 autres sections non affichées
Autres éditions - Tout afficher
Compact Numerical Methods for Computers: Linear Algebra and Function ... John C. Nash Affichage d'extraits - 1979 |
Compact Numerical Methods for Computers: Linear Algebra and Function ... John C. Nash Affichage d'extraits - 1979 |
Expressions et termes fréquents
algorithm 24 approximation array axial search b₁ b₂ back-substitution begin end begin STEP boolean Bvec Bvec[i calculation Choleski decomposition coefficient columns components computed conjugate gradients algorithm cont convergence test Copyright 1988 J.C.Nash Data General NOVA derivatives diagonal elements digit eigenproblem eigensolutions eigenvalue problem eigenvectors EVALNS evaluations example FORTRAN function minimisation function value Gauss elimination generalised given initial inner product integer inverse iteration ITNS Jacobi algorithm least-squares problems least-squares solution linear equations linear search loop machine precision Marquardt minimum Nash nCol Nelder-Mead nonlinear norm normal equations notcomp Note nRow orthogonal orthogonalisation performed pivoting polytope positive definite procedure Rayleigh quotient real symmetric matrix reduction residual sum root rotation search directions simplex singular values singular-value decomposition solve steepest descent step length stepsize sum of squares symmetric matrix tolerance Turbo Pascal unit matrix variable metric vector Wilkinson writeln zero