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Max-min and min-max Approximation Problems for Normal Matrices Revisited
- 1.0435950 - ÚI 2015 RIV US eng J - Journal Article
Liesen, J. - Tichý, Petr
Max-min and min-max Approximation Problems for Normal Matrices Revisited.
Electronic Transactions on Numerical Analysis. Roč. 41, 4 July (2014), s. 159-166. ISSN 1068-9613. E-ISSN 1068-9613
R&D Projects: GA ČR GA13-06684S
Grant - others:GA AV ČR(CZ) M100301201
Institutional support: RVO:67985807
Keywords : matrix approximation problems * min-max and max-min approximation problems * best approximation * normal matrices
Subject RIV: BA - General Mathematics
Impact factor: 0.759, year: 2014
http://etna.mcs.kent.edu/volumes/2011-2020/vol41/abstract.php?vol=41&pages=159-166
We give a new proof of an equality of certain max-min and min-max approximation problems involving normal matrices. The previously published proofs of this equality apply tools from matrix theory, (analytic) optimization theory, and constrained convex optimization. Our proof uses a classical characterization theorem from approximation theory and thus exploits the link between the two approximation problems with normal matrices on the one hand and approximation problems on compact sets in the complex plane on the other.
Permanent Link: http://hdl.handle.net/11104/0239752
Number of the records: 1