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ELA

FORTY NECESSARY AND SUFFICIENT CONDITIONS FOR

REGULARITY OF INTERVAL MATRICES: A SURVEY

∗

JIRI ROHN†

Abstract. This is a survey of forty necessary and sufficient conditions for regularity of interval matrices published in various papers over the last thirty-five years. Afull list of references to the sources of all the conditions is given, and they are commented on in detail.

Key words. Interval matrix, Regularity, Singularity, Necessary and sufficient condition, Algo-rithm.

AMS subject classifications.15A24, 65G40.

∗ Received by the editors May 2, 2009. Accepted for publication August 13, 2009. Handling

Editor: Ravindra B. Bapat.

†Institute of Computer Science, Czech Academy of Sciences, Prague, and School of Business

Administration, Anglo-American University, Prague, Czech Republic ([email protected]). This work was supported by the Czech Republic Grant Agency under grants 201/09/1957 and 201/08/J020, and by the Institutional Research Plan AV0Z10300504.

Electronic Journal of Linear Algebra ISSN 1081-3810 A publication of the International Linear Algebra Society Volume 18, pp. 500-512, August 2009

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