caa a22 4500 465821111 CHVBK 20180323112136.0 cr unu---uuuuu 170327e19900901xx s 000 0 eng 10.1007/BF01931664 doi (NATIONALLICENCE)springer-10.1007/BF01931664 Herzberger J. Fachbereich Mathematik, Universität Oldenburg, D-2900, Oldenburg, West-Germany aut Using error-bounds for hyperpower methods to calculate inclusions for the inverse of a matrix [Elektronische Daten] [J. Herzberger] By means of error-bounds for the well-known hyperpower methods for approximating the inverse of a matrix we define inclusion methods for the inverse matrix. These methods are using machine interval operations and are giving guaranteed inclusions for the inverse matrix whenever the convergence of the applied hyperpower methods can be shown. In comparison with the very efficient interval Schulz's method in the literature, our methods are more efficient in terms of the efficiency index. Some numerical examples are given. BIT Foundations, 1990 Matrix inversion nationallicence error-bounds for hyperpower methods nationallicence interval analysis nationallicence BIT Numerical Mathematics Kluwer Academic Publishers 30/3(1990-09-01), 508-515 0006-3835 30:3<508 1990 30 10543 https://doi.org/10.1007/BF01931664 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01931664 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Herzberger J. Fachbereich Mathematik, Universität Oldenburg, D-2900, Oldenburg, West-Germany aut NATIONALLICENCE 773 0- BIT Numerical Mathematics Kluwer Academic Publishers 30/3(1990-09-01), 508-515 0006-3835 30:3<508 1990 30 10543 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer