Abstract
Solutions to the sesquilinear matrix equation X*DX + AX + X*B + C = 0, where all matrices are of size n × n, are put in correspondence with n-dimensional neutral (or isotropic) subspaces of the associated matrix M of order 2n. A way of constructing such subspaces is proposed for when M is a symmetric quasi-definite matrix of the (n, n) type.
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Original Russian Text © T.V. Zakharova, A.A. Fisak, 2018, published in Vestnik Moskovskogo Universiteta, Seriya 15: Vychislitel’naya Matematika i Kibernetika, 2018, No. 3, pp. 3–5.
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Ikramov, K.D. Calculating the Isotropic Subspace of a Symmetric Quasi-Definite Matrix. MoscowUniv.Comput.Math.Cybern. 42, 97–99 (2018). https://doi.org/10.3103/S027864191803007X
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DOI: https://doi.org/10.3103/S027864191803007X