We show that the number of orthogonal and symmetric Toeplitz matrices of a given order is finite and determine all these matrices. In this way we also obtain a description of the set of all symmetric Toeplitz matrices whose spectrum is a prescribed doubleton.
机构:
CINVESTAV, Dept Math, Ciudad De Mexico 07360, MexicoSTEL Comp Syst Ltd, Moscow 105082, Russia
Grudsky, S. M.
Stukopin, V. A.
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机构:
Don State Tech Univ, Dept Appl Math, Rostov Na Donu 344010, Russia
South Math Inst, Vladikavkaz 862027, RussiaSTEL Comp Syst Ltd, Moscow 105082, Russia