v1.0.0

Author: armancodv

README.md

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 # TDMA (Tridiagonal matrix algorithm)
 In numerical linear algebra, the tridiagonal matrix algorithm, also known as the Thomas algorithm (named after Llewellyn Thomas), is a simplified form of Gaussian elimination that can be used to solve tridiagonal systems of equations. A tridiagonal system for n unknowns may be written as
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 ![Equations](docs/1.svg)
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 where ![Equations](docs/2.svg) and ![Equations](docs/3.svg).
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 ![Equations](docs/4.svg)
 
 ## Install
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 ## Method
 The forward sweep consists of modifying the coefficients as follows, denoting the new coefficients with primes:
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 ![Equations](docs/5.svg)
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 and
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 ![Equations](docs/6.svg)
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 The solution is then obtained by back substitution:
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 ![Equations](docs/7.svg)
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 ![Equations](docs/8.svg)
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 The method above preserves the original coefficient vectors. If this is not required, then a much simpler form of the algorithm is
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 ![Equations](docs/9.svg)
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 followed by the back substitution
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 ![Equations](docs/10.svg)
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 ![Equations](docs/11.svg)
 
 Reference: https://en.wikipedia.org/wiki/Tridiagonal_matrix_algorithm