caa a22 4500 465751342 CHVBK 20180323111834.0 cr unu---uuuuu 170327e19900901xx s 000 0 eng 10.1007/BF02262219 doi (NATIONALLICENCE)springer-10.1007/BF02262219 Efficient iterative algorithms for bounding the inverse of a matrix [Elektronische Daten] [J. Herzberger, Lj. Petković] Effiziente Iterationsverfahren zur Einschließung der Inversen einer Matrix In this paper we are considering iterative methods for bounding the inverse of a matrix, which make use of interval arithmetic. We present a class of methods as a combination of ordinary Schulz's methods for only approximating the inverse matrix (see [3]) and of well-known interval Schulz's methods (see [1]). Two convergence theorems are proved. Our methods are shown to be asymptotically of the same order of convergence as the ordinary Schulz's methods being part of them. Therefore we are getting considerably more efficient interval methods by our approach than by the classical interval Schulz's methods in [1] or [5]. A numerical example is given. Springer-Verlag, 1990 Matrix inversion nationallicence interval analysis nationallicence Herzberger J. Fachbereich Mathematik, Universität Oldenburg, D-2900, Oldenburg, Federal Republic of Germany aut Petković Lj Faculty of Mechanical Engineering, University of Niš, Beogradska 14, YU-18000, Niš, Yugoslavia aut Computing Springer-Verlag 44/3(1990-09-01), 237-244 0010-485X 44:3<237 1990 44 607 https://doi.org/10.1007/BF02262219 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02262219 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Herzberger J. Fachbereich Mathematik, Universität Oldenburg, D-2900, Oldenburg, Federal Republic of Germany aut NATIONALLICENCE 700 1- Petković Lj Faculty of Mechanical Engineering, University of Niš, Beogradska 14, YU-18000, Niš, Yugoslavia aut NATIONALLICENCE 773 0- Computing Springer-Verlag 44/3(1990-09-01), 237-244 0010-485X 44:3<237 1990 44 607 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer