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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Official URL: http://dx.doi.org//10.1016/j.exmath.2009.02.001
Related URL: http://dx.doi.org/10.1016/j.exmath.2009.02.001
Abstract
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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