Abstract
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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The first author was supported in part by Faculty Research funding from the Division of Science and Mathematics, New York University Abu Dhabi.
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Spitkovsky, I.M., Voronin, A.F. A Note on the Factorization of Some Structured Matrix Functions. Integr. Equ. Oper. Theory 90, 39 (2018). https://doi.org/10.1007/s00020-018-2468-0
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DOI: https://doi.org/10.1007/s00020-018-2468-0