CHANGELOG
Changelog of the notes.
Each version follows the Conventional Commits structure. For more information on this, see: Conventional Commits.
Table of Contents
v0.6.0
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BiConjugate Gradient (BiCG) and BiCGSTAB method
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Generalized Minimum Residual (GMRES) method
v0.5.0
- add
Multigrid method
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Idea of MG methods
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How it works
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Coarse Grids
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Correction
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Interpolation Operator
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Restriction Operator
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Two-Grid Scheme
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V-Cycle Scheme
- add
- add
Classical Algebraic Multigrid (AMG)
- add
v0.4.0
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Numerical methods for overdetermined linear systems and SVD
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Overdetermine systems and Least Squares
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Singular Value Decomposition (SVD)
- add
v0.3.0
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Solving large scale eigenvalue problems
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Eigenvalue problems
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Power method
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Deflation method
- add
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Inverse power method
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Inverse power method with shift
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QR Factorization
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Schur decomposition applied to QR algorithm
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Hessenberg applied to QR algorithm
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Lanczos method
- add
v0.2.0
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Iterative methods for linear systems of equations
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Why not use the directive methods?
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Linear iterative methods
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Definition
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Jacobi method
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Gauss-Seidel method
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Convergence of Jacobi and Gauss-Seidel methods
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The stationary Richardson method
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Stopping Criteria
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Preconditioning techniques
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Preconditioned Richardson method
- add
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Gradient method
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Conjugate Gradient method
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Krylov-space
- add
v0.1.0
- add CHANGELOG.md
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Introduction
topic - add
Notation
topic - add
Matrix Operations
topic - add
Basic matrix decomposition
topic - add
Determinants
topic - add
Sparse matrices
topic- add
Storage schemes
topic
- add