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A Theorem of the Alternatives for the Equation Ax + B|x| = b
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SYSNO ASEP 0105250 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title A Theorem of the Alternatives for the Equation Ax + B|x| = b Title Věta o alternativách pro rovnici Ax+B|x|=b Author(s) Rohn, Jiří (UIVT-O) SAI, RID, ORCID Source Title Linear & Multilinear Algebra - ISSN 0308-1087
Roč. 52, č. 6 (2004), s. 421-426Number of pages 6 s. Language eng - English Country GB - United Kingdom Keywords nonlinear equation ; existence ; uniqueness ; interval matrix ; eigenvalue Subject RIV BA - General Mathematics R&D Projects GA201/01/0343 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z1030915 - UIVT-O UT WOS 000225442900003 EID SCOPUS 10444268178 DOI https://doi.org/10.1080/0308108042000220686 Annotation The following theorem is proved: given square matrices A, D of the same size, D nonnegative, then either the equation Ax + B|x| = b has a unique solution for each B with |B| le D and for each b, or the equation Ax + B0|x| = 0 has a nontrivial solution for some matrix B0 of a very special form, |B0| le D; the two alternatives exclude each other..... Workplace Institute of Computer Science Contact Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Year of Publishing 2005
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