Journal ArticleDOI
Über intervallmäßige Iterationsverfahren bei linearen Gleichungssystemen und allgemeineren Intervallgleichungssystemen
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This article is published in Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik.The article was published on 1971-01-01. It has received 9 citations till now.read more
Citations
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Journal ArticleDOI
Computational methods of linear algebra
D. K. Faddeev,V. N. Faddeeva +1 more
TL;DR: A survey of computational methods in linear algebra can be found in this article, where the authors discuss the means and methods of estimating the quality of numerical solution of computational problems, the generalized inverse of a matrix, the solution of systems with rectangular and poorly conditioned matrices, and more traditional questions such as algebraic eigenvalue problems and systems with a square matrix.
Book ChapterDOI
Linear interval equations
TL;DR: A short survey of theory and techniques for the solution of linear interval equations with square or rectangular coefficient matrix is given in this article, with a focus on linear interval problems with square and rectangular coefficients.
Book
Interval mathematics : proceedings of the International Symposium, Karlsruhe, West Germany, May 20-24, 1975
TL;DR: Two-sided approximation to solutions of nonlinear operator equations-a comparison of methods from classical analysis, functional analysis, and interval analysis
Journal ArticleDOI
Vergleich intervallarithmetischer Iterationsverfahren
TL;DR: It can be proved that interval arithmetic total-step methods converge to the same value as the corresponding single-stepmethods in a class of interval arithmetic iteration methods.
Journal ArticleDOI
Acceleration of iteration methods for interval fixed point problems
TL;DR: In this article, the fixed point equation x = F (x) with a continuous and inclusion isotone interval function F : R n → R n was considered and the iteration x k+1 = F(x k + 1 ) converges monotonically to a fixed point of F if x 1 ⊆ x 0.
References
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Book
Matrix iterative analysis
TL;DR: In this article, the authors propose Matrix Methods for Parabolic Partial Differential Equations (PPDE) and estimate of Acceleration Parameters, and derive the solution of Elliptic Difference Equations.
Journal ArticleDOI
Algebraische und metrische Strukturen in der Intervallrechnung und einige Anwendungen
TL;DR: Round-off errors in numerical computation can be controlled with the aid of the intrrval analysis and some applications are presented.
Journal ArticleDOI
Grundlagen einer Maschinenintervallarithmetik
TL;DR: An interval arithmetic is given which is an extension of that given in [1], which is one of the essential features of this new interval arithmetic, that in the case of interval functions the authors get the exact range of interval values.