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CHANGELOG.md

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CHANGELOG

Conventional Commits

Changelog of the notes.

Each version follows the Conventional Commits structure. For more information on this, see: Conventional Commits.

Table of Contents

v1.2.0

  • add Exams
    • add Year 2024
      • add January 23

v1.1.0

  • add Exams
    • add Year 2024
      • add July 03
      • add June 17

v1.0.0

  • add Correlated Projects in the Preface section

v0.8.0

  • add Direct Methods for Linear Systems
    • add LU Factorization
    • add Gaussian elimination
    • add Cholesky Factorization
    • add Pivoting
      • add Pivoting by rows (partial pivoting)
      • add Complete Pivoting
    • add Fill-In

v0.7.0

  • add Domain Decomposition Methods
    • add Introduction
    • add Overlapping Subdomains
      • add Alternating Schwarz Method
      • add Discretized Schwarz Methods
        • add Multiplicative Schwarz method
        • add Additive Schwarz method
      • add Many Overlapping Subdomains
      • add Coloring Technique
    • add Non-Overlapping Subdomains
      • add Introduction
      • add The Schur Complement
      • add Many Non-Overlapping Subdomains

v0.6.0

  • add BiConjugate Gradient (BiCG) and BiCGSTAB method
  • add Generalized Minimum Residual (GMRES) method

v0.5.0

  • add Multigrid method
    • add Idea of MG methods
    • add How it works
      • add Coarse Grids
      • add Correction
      • add Interpolation Operator
      • add Restriction Operator
      • add Two-Grid Scheme
      • add V-Cycle Scheme
    • add Classical Algebraic Multigrid (AMG)

v0.4.0

  • add Numerical methods for overdetermined linear systems and SVD
    • add Overdetermine systems and Least Squares
    • add Singular Value Decomposition (SVD)

v0.3.0

  • add Solving large scale eigenvalue problems
    • add Eigenvalue problems
    • add Power method
      • add Deflation method
    • add Inverse power method
      • add Inverse power method with shift
    • add QR Factorization
      • add Schur decomposition applied to QR algorithm
      • add Hessenberg applied to QR algorithm
    • add Lanczos method

v0.2.0

  • add Iterative methods for linear systems of equations
    • add Why not use the directive methods?
    • add Linear iterative methods
      • add Definition
      • add Jacobi method
      • add Gauss-Seidel method
      • add Convergence of Jacobi and Gauss-Seidel methods
      • add The stationary Richardson method
    • add Stopping Criteria
    • add Preconditioning techniques
      • add Preconditioned Richardson method
    • add Gradient method
    • add Conjugate Gradient method
    • add Krylov-space

v0.1.0

  • add CHANGELOG.md
  • add 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