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 {An} 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 An, we derive the symbol fS of the associated sequences of Schur complements {Sn} and that of its element-wise approximation.

Schur complement matrix and its (elementwise) approximation: a spectral analysis based on GLT sequences

SERRA CAPIZZANO, STEFANO
2015-01-01

Abstract

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 {An} 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 An, we derive the symbol fS of the associated sequences of Schur complements {Sn} and that of its element-wise approximation.
2015
AA.VV.
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
9783319265193
10th International Conference on Large-Scale Scientic Computations
Sozopol (Bulgaria)
8-12 giugno 2015
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11383/2022756
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