journal article
oaidoi:10.1016/0024-3795(87)90202-3

Isolated solutions of quadratic matrix equations

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Publication date
31 July 1978
Publisher
Published by Elsevier Inc.
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    Abstract

    AbstractWe 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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