A Local Inverse Formula and a Factorization

DOI10.1007/978-3-319-72456-0_51zbMath1405.65039arXiv1610.01230OpenAlexW2528624069MaRDI QIDQ4611844

Shev MacNamara, Gilbert Strang

Publication date: 22 January 2019

Published in: Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.01230

Mathematics Subject Classification ID

Factorization of matrices (15A23) Theory of matrix inversion and generalized inverses (15A09) Inverse problems in linear algebra (15A29) Direct numerical methods for linear systems and matrix inversion (65F05)

Uses Software

• glasso

Cites Work

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• Sparse inverse covariance estimation with the graphical lasso
• An analysis of some element-by-element techniques
• Gaussian Markov distributions over finite graphs
• Extensions of band matrices with band inverses
• Local inversion of matrices with sparse inverses
• Separable type representations of matrices and fast algorithms. Volume 2. Eigenvalue method
• High-dimensional covariance estimation by minimizing \(\ell _{1}\)-penalized log-determinant divergence
• Triangulated graphs and the elimination process
• Fast transforms: Banded matrices with banded inverses
• Ten Lectures on Wavelets
• The Interplay of Ranks of Submatrices

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