The operator equation ∑ni=0An-iXBi=Y

Bhatia, Rajendra ; Uchiyama, Mitsuru (2009) The operator equation ∑ni=0An-iXBi=Y Expositiones Mathematicae, 27 (3). pp. 251-255. ISSN 0723-0869

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The solution of the linear operator equation: An-1X+An-2XB+...+AXBn-2+XBn-1=Y is given by X=((sin π/n)/π)∫0(t+An)-1Y(t+Bn)-1t1/ndt if the spectra of A and B are in the sector {z:z≠ 0,-π /n<argz<π/n}.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:Linear Operator Equation; Fréchet Derivative; Sylvester Equation
ID Code:2585
Deposited On:08 Oct 2010 07:06
Last Modified:08 Oct 2010 07:06

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