@TechReport{ it:2015-011,
author = {Ali Dorostkar and Maya Neytcheva and Stefano
Serra-Capizzano},
title = {Schur Complement Matrix and its (Elementwise)
Approximation: A Spectral Analysis Based on {GLT}
Sequences},
institution = {Department of Information Technology, Uppsala University},
department = {Division of Scientific Computing},
year = {2015},
number = {2015-011},
month = mar,
abstract = {Using the notion of the so-called \textit{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
$f^{\mathcal{S}}$ of the associated sequences of Schur
complements $\{S_n\}$ and that of its element-wise
approximation. }
}