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- W4313813212 abstract "This work focuses on the class of L-positive semidefinite matrices A such that AA(L)(†)−A(L)(†)A is nonsingular, where A(L)(†) is the generalized Bott-Duffin inverse of A with respect to a subspace L. We give some equivalent characterizations for the nonsingularity of AA(L)(†)−A(L)(†)A, AA(L)(†)+A(L)(†)A and In−A(A(L)(†))2A mainly by rank equalities and subspace operations, among which relations are pointed out. Meanwhile we show the inverses of their general versions in a decomposition form. In addition, the continuity of this class of matrices is discussed based on the continuity of the generalized Bott–Duffin inverse." @default.
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- W4313813212 date "2023-01-08" @default.
- W4313813212 modified "2023-10-17" @default.
- W4313813212 title "The -positive semidefinite matrices <i>A</i> such that are nonsingular" @default.
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- W4313813212 doi "https://doi.org/10.1080/03081087.2022.2161461" @default.
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