Difference between revisions of "Linear Algebra"

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(New page: == Basics: Matrices & Vectors == Discussion of a matrix and vector - what are they and how are they formed. See here for help on creating matrices & vectors in MATLAB ...)
 
(Solving Linear Systems of Equations =)
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== Solving Linear Systems of Equations ===
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== Solving Linear Systems of Equations ==
 
=== Direct Solvers ===
 
=== Direct Solvers ===
 
==== Gaussian Elimination ====
 
==== Gaussian Elimination ====

Revision as of 06:18, 3 July 2008

Basics: Matrices & Vectors

Discussion of a matrix and vector - what are they and how are they formed.

See here for help on creating matrices & vectors in MATLAB


Matrix & Vector Algebra

Vector Dot Product

Vector Cross Product

Matrix-Vector Product

Matrix-Matrix Product

Linear Systems of Equations

Solving Linear Systems of Equations

Direct Solvers

Gaussian Elimination

The Thomas Algorithm (Tridiagonal Systems)

Iterative Solvers

Jacobi Method

Gauss-Seidel Method

Other Methods

  • Conjugate-Gradient
  • GMRES