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Rectangular GLT seq...
Abstract
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- The theory of generalized locally Toeplitz (GLT) sequences is a powerful apparatus for computingthe asymptotic spectral distribution of square matrices An arising from the discretization of differential problems.Indeed, as the mesh fineness parameter n increases to ∞, the sequence {An}n often turns out to be a GLT sequence.In this paper, motivated by recent applications, we further enhance the GLT apparatus by developing a full theory ofrectangular GLT sequences as an extension of the theory of classical square GLT sequences. We also provide twoexamples of application as an illustration of the potential of the theory presented herein
Subject headings
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Keyword
- asymptotic distribution of singular values and eigenvalues
- rectangular Toeplitz matrices
- rectangular generalized locally Toeplitz matrices
- discretization of differential equations
- finite elements
- tensor products
- B-splines
- multigrid methods
- Beräkningsvetenskap med inriktning mot numerisk analys
- Scientific Computing with specialization in Numerical Analysis
Publication and Content Type
- ref (subject category)
- art (subject category)
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