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Original title:
Absolute Value Mapping
Authors: Rohn, Jiří
Document type: Research reports
Year: 2019
Language: eng
Series: Technical Report, volume: V-1266
Abstract: We prove a necessary and sufficient condition for an absolute value mapping to be bijective. This result simultaneously gives a characterization of unique solvability of an absolute value equation for each right-hand side.
Keywords: absolute value equation; absolute value mapping; bijectivity; interval matrix; regularity; unique solvability
Rights: This work is protected under the Copyright Act No. 121/2000 Coll.
Institution: Institute of Computer Science AS ČR (web)
Original record: http://hdl.handle.net/11104/0296140
Permalink: http://www.nusl.cz/ntk/nusl-394987
The record appears in these collections:
Research > Institutes ASCR > Institute of Computer Science
Reports > Research reports
Authors: Rohn, Jiří
Document type: Research reports
Year: 2019
Language: eng
Series: Technical Report, volume: V-1266
Abstract: We prove a necessary and sufficient condition for an absolute value mapping to be bijective. This result simultaneously gives a characterization of unique solvability of an absolute value equation for each right-hand side.
Keywords: absolute value equation; absolute value mapping; bijectivity; interval matrix; regularity; unique solvability
Rights: This work is protected under the Copyright Act No. 121/2000 Coll.
Institution: Institute of Computer Science AS ČR (web)
Original record: http://hdl.handle.net/11104/0296140
Permalink: http://www.nusl.cz/ntk/nusl-394987
The record appears in these collections:
Research > Institutes ASCR > Institute of Computer Science
Reports > Research reports
Record created 2019-05-16, last modified 2023-12-11
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