I need an algorithm to invert a triangular matrix:
eg
| 1 2 4 |
| 1 3 9 |
| 1 4 16 |
Thanks for your help
I need an algorithm to invert a triangular matrix: eg | 1 2 4
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I need an algorithm to invert a triangular matrix:
eg
| 1 2 4 |
| 1 3 9 |
| 1 4 16 |
Thanks for your help
That is not a triangular matrix but this will work
where X is your original matrix. If you need a specific algorithm you could try Gaussian elimination as a start point http://en.wikipedia.org/wiki/Gaussian_elimination . You could implement that algorithm and use the
invfunction to check your results.You could also try Gauss-Jordan elimination http://en.wikipedia.org/wiki/Gauss%E2%80%93Jordan_elimination
Other more advanced options are these http://en.wikipedia.org/wiki/Matrix_inversion#Methods_of_matrix_inversion
This should clarify what a triangular matrix is http://en.wikipedia.org/wiki/Triangular_matrix