Publication: On Moore-Penrose inverses of quasi-Kronecker structured matrices
On Moore-Penrose inverses of quasi-Kronecker structured matrices
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Furrer, R., & Heersink, D. K. (2012). On Moore-Penrose inverses of quasi-Kronecker structured matrices. Linear Algebra and Its Applications, 436(3), 561–570. https://doi.org/10.1016/j.laa.2011.07.009
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The Moore-Penrose inverse and generalized inverse of A + X(1)X(2), where A. X(1), X(2) are complex matrices are given under various assumptions. We use the result to derive the Moore-Penrose inverse and inverse for bdiag(A(k)) + uv circle times E with p complex matrices A(k), two complex p-vectors u and v and a complex matrix E. Such block structured matrices occur in hierarchical modeling of multivariate spatial or space-time Gaussian processes. For the latter we also give expressions of the determinant and of conditional variances
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- Heersink, D K
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Furrer, R., & Heersink, D. K. (2012). On Moore-Penrose inverses of quasi-Kronecker structured matrices. Linear Algebra and Its Applications, 436(3), 561–570. https://doi.org/10.1016/j.laa.2011.07.009
