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Inverse Interval Matrix: A Survey
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SYSNO ASEP 0363061 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Inverse Interval Matrix: A Survey Author(s) Rohn, Jiří (UIVT-O) SAI, RID, ORCID
Farhadsefat, R. (IR)Source Title Electronic Journal of Linear Algebra. - : International Linear Algebra Society - ISSN 1537-9582
Roč. 22, - (2011), s. 704-719Number of pages 16 s. Language eng - English Country IL - Israel Keywords interval matrix ; inverse interval matrix ; NP-hardness ; enclosure ; unit midpoint ; inverse sign stability ; nonnegative invertibility ; absolute value equation ; algorithm Subject RIV BA - General Mathematics R&D Projects GA201/09/1957 GA ČR - Czech Science Foundation (CSF) GC201/08/J020 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10300504 - UIVT-O (2005-2011) UT WOS 000293356800002 EID SCOPUS 80053152373 Annotation Results on the inverse interval matrix, both theoretical and computational, are surveyed. Described are, among others, formulae for the inverse interval matrix, NP-hardness of its computation, various classes of interval matrices for which the inverse can be given explicitly, and closed-form formulae for an enclosure of the inverse. Workplace Institute of Computer Science Contact Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Year of Publishing 2012 Electronic address http://www.math.technion.ac.il/iic/ela/ela-articles/articles/vol22_pp704-719.pdf
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