A note on the factorization of some structured matrix functions
classification
🧮 math.FA
keywords
blockdiagonalmatrixblockscomplementcomplexconditionsconjugates
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Let G be a block matrix function with one diagonal block A being positive definite and the off diagonal blocks complex conjugates of each other. Conditions are obtained for G to be factorable (in particular, with zero partial indices) in terms of the Schur complement of A.
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