Technical Report 2015-011

Schur Complement Matrix and its (Elementwise) Approximation: A Spectral Analysis Based on GLT Sequences

Ali Dorostkar, Maya Neytcheva, and Stefano Serra-Capizzano

March 2015

Using the notion of the so-called spectral symbol in the Generalized Locally Toeplitz (GLT) setting, we derive the GLT symbol of the sequence of matrices {A_n} approximating the elasticity equations. Further, as the GLT class defines an algebra of matrix sequences and Schur complements are obtained via elementary algebraic operation on the blocks of A_n, we derive the symbol f^S of the associated sequences of Schur complements {S_n} and that of its element-wise approximation.

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