Computational Problem of the Determinant Matrix Calculation

Date issued

2013

Journal Title

Journal ISSN

Volume Title

Publisher

University of West Bohemia

Abstract

A new more accurate formula to calculate condition number of the determinant of matrix is proposed. The effectiveness of the new formula was confirmed by the examples of the Hilbert matrix. In order to validate the new approach comparison with statistical Monte Carlo calculation was used.

Description

Subject(s)

determinant matice, Hilbertova matice, Frobeniova norma, numerická simulace, Monte Carlo

Citation

CPEE – AMTEE 2013: Joint conference Computational Problems of Electrical Engineering and Advanced Methods of the Theory of Electrical Engineering: 4th – 6th September 2013 Roztoky u Křivoklátu, Czech Republic, p. VIII-1.