Original title: Does a Singular Symmetric Interval Matrix Contain a Symmetric Singular Matrix?
Authors: Rohn, Jiří
Document type: Research reports
Year: 2019
Language: eng
Series: Technical Report, volume: V-1268
Abstract: We consider the conjecture formulated in the title concerning existence of a symmetric singular matrix in a singular symmetric interval matrix. We show by means of a counterexample that it is generally not valid, and we prove that it becomes true under an additional assumption of positive semide niteness of the midpoint matrix. The proof is constructive.
Keywords: positive semide niteness; singularity; symmetric interval matrix
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/11104/0297149

Permalink: http://www.nusl.cz/ntk/nusl-396552


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