## Advances in computational mathematics: proceedings of the International Symposium on Computational Mathematics, Matsuyama, Japan, 30 August-4 September 1990This is a book edition of the symposium proceedings previously published in the Journal of Computational and Applied Mathematics . Twenty-one invited and 11 contributed talks given by such authors as E.L. Allgower, O. Axelesson, C. Brezinski, H.W. Engl, C.W. Gear, J.W. Jerome, D.K. Kahaner and B.N. Parlett are included. Contributions cover a wide variety of current topics in computational mathematics including: numerical linear algebra, nonlinear equations and optimization, numerical approximation and integration, ill-posed problems, numerical solutions of ordinary and partial differential equations, numerical solution of algebraic equations, and computation with validation. |

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### Contents

Allgower C S Chien K Georg and C F Wang | 1 |

Allgower K Georg and R Widmann | 17 |

O Axelsson | 31 |

Copyright | |

20 other sections not shown

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algebraic equations algorithm Appl Applied Mathematics 38 approximate GCD array processor assume B.V. All rights bounded coefficients column components Computational and Applied conjugate gradient conjugate gradient methods consider constant continuous corresponding decomposition defined definite denote derivative differential equations Dirichlet problem discretization eigenvalue problem eigenvalues Elsevier Science Publishers error estimate example exists finite-element fixed point fixed-point map formula given Hence Hilbert space hyperplane hyperplane ordering ill-conditioned integral equation interpolation iterative methods Jacobian matrix Lemma linear algebra linear equations M-matrix Math monotone multiple Newton's method nodes nonnegative norm North-Holland number of iterations obtain operator Pade approximant parallel parameter pencils polynomial positive preconditioner Proof respectively Reynolds number Runge-Kutta satisfies Science Publishers B.V. Section sequence transformations SIAM singular solution solver solving sparse step Subdivision symmetric systolic array Table tetrahedra Theorem Tikhonov regularization uniform convergence vector sequences zeros