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 Computational and Applied Mathematics 122.
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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...
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...
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...