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Results tagged with matrix-theory
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user 510409
Matrix theory is the study of matrices as concrete objects, rather than as abstract linear operators between vector spaces (whose study belongs to linear algebra). For instance, this involves matrix factorizations and decompositions, nonnegative matrices and Perron-Frobenius theory, Schur complements, structured and special matrices, matrix functions and equations.
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How to compute inverse of sum of a unitary matrix and a full rank diagonal matrix?
You could use Woodbury matrix identity. In your case, this is
$$
(A + D)^{-1} = A^{-1} - A^{-1} (D^{-1} + A^{-1})^{-1} A^{-1}.
$$
You still need to compute $(D^{-1} + A^{-1})^{-1}$, which may not be e …
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