Historical developments in convergence analysis for Newton's and Newton-like methods. The theory of Newton's method. A survey of truncated-Mewton methods. Practical quasi_newton methods for solving nonlinear systems. Sequential quadratic programming for large-scale nonlinear optimization. Trust region model management in multidisciplinary design optimization. ABS algorithms for linear equations and optimization. Journal of Computational and Applied Mathematics 124. Total pages 367.
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Elsevier, 2003. — 472 p. Series Handbook of Numerical Analysis. Ciarlet P.G. (Ed.) Volume XI. Contents of Volume XI SPECIAL VOLUME: FOUNDATIONS OF COMPUTATIONAL MATHEMATICS GENERAL PREFACE On the Foundations of ComputationalMathematics, B.J.C. Baxter, A. Iserles Geometric Integration and its Applications, C.J. Budd, M.D. Piggott Linear Programming and Condition Numbers under...
Society for Industrial Mathematics, 2008. - 475 pages. This new book from the authors of the classic book Numerical Methods addresses the increasingly important role of numerical methods in science and engineering. More cohesive and comprehensive than any other modern textbook in the field, it combines traditional and well-developed topics with other material that is rarely...
Springer-Verlag Berlin Heidelberg, 2011. — 440 p. This book has two faces: the first one is that of a textbook addressing itself to graduate students of mathematics and computational sciences, the second one is that of a research monograph addressing itself to numerical analysts and computational scientists working on the subject. As a textbook, selected chapters may be useful...
Convergence acceleration during the 20th century.
On the history of multivariate polynomial interpolation.
Elimination techniques: from extrapolation to totally positive matrices and CAGD.
The epsilon algorithm and related topics.
Scalar Levin-type sequence transformations.
ector extrapolation methods. Applications and numerical comparison etc.
Total 353 pages.
Journal of...
Terative solution of linear systems in the 20th century.
Eigenvalue computation in the 20th century.
QR-like algorithms for eigenvalue proglems.
The ubiquitos Kronecker product.
Preconditioning eigenvalues and some comparison of solvers.
An overview of relative sin sigma theorems for invariant subspaces of complex matrices.
etc.
Journal of Computational and Applied...
Polynomial zerofinders based on Szego polynomials.
Complex Jacobi matrices.
Quadrature and orthogonal rational functions.
An iterative nethod with error estimators.
Cubature formulae and orthogonal polynomials.
Stopping functionals for Gaussian quadrature formulas.
Computation of matrix-valued formally orthogonal polynomials and applications.
Computation of Gauss-type...
