Isolated solutions of quadratic matrix equations |
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| Authors: | John Daughtry |
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| Affiliation: | Department of Mathematics Sweet Briar College Sweet Briar, Virginia, 24595, USA |
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| Abstract: | We study the solutions X to the quadratic operator equation XBX+XA?DX?C=0 via the invariant subspace structure of an associated operator matrix. We translate a theorem of R.G. Douglas and C. Pearcy into a characterization of the isolated solutions to the matrix equation XBX+XA?DX?C=0, and we discuss conditions which ensure that the equation has a unique solution. |
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