Difference between revisions of "Manuals/calci/TRIDIAGONAL"
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==Examples== | ==Examples== | ||
− | *MATRIX("tridiagonal") | + | *MATRIX("tridiagonal") =18 |
+ | *MATRIX("tridiagonal",3) | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
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|0 || 0 || 0 || 0 || -50 || -92 | |0 || 0 || 0 || 0 || -50 || -92 | ||
|} | |} | ||
+ | |||
+ | ==Related Videos== | ||
+ | |||
+ | {{#ev:youtube|fqn0nW-WXTs|280|center|Tridiagonal Matix}} | ||
==See Also== | ==See Also== | ||
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*[[Manuals/calci/PENTADIAGONAL| PENTADIAGONAL]] | *[[Manuals/calci/PENTADIAGONAL| PENTADIAGONAL]] | ||
*[[Manuals/calci/TRIANGULAR| TRIANGULAR]] | *[[Manuals/calci/TRIANGULAR| TRIANGULAR]] | ||
− | |||
==References== | ==References== | ||
+ | *[http://mathworld.wolfram.com/TridiagonalMatrix.html Tridiagonal Matrix] |
Latest revision as of 02:45, 26 October 2015
MATRIX("TRIDIAGONAL",order)
- is the size of the Tridiagonal matrix.
Description
- This function returns the matrix with the property of tridiagonal.
- A square matrix with nonzero elements only on the diagonal and slots horizontally or vertically adjacent the diagonal.
- i.e., along the subdiagonal and superdiagonal.
- So a tridiagonal matrix is a matrix that has nonzero elements only on the main diagonal, the first diagonal below this, and the first diagonal above the main diagonal.
- A tridiagonal is of the form:
- A general tridiagonal matrix is not necessarily symmetric or Hermitian,but tridiagonal matrix is a matrix that is both upper and lower Hessenberg matrix.
- In Calci, MATRIX("tridiagonal") gives the tridiagonal matirx of order 3.
- Users can change the order of the matrix.
Examples
- MATRIX("tridiagonal") =18
- MATRIX("tridiagonal",3)
59 | 58 | 0 |
-93 | 3 | 21 |
0 | -24 | 90 |
- MATRIX("tridiagonal",6)
23 | 9 | 0 | 0 | 0 | 0 |
-6 | 91 | -75 | 0 | 0 | 0 |
0 | 32 | -25 | -11 | 0 | 0 |
0 | 0 | -44 | 42 | -1 | 0 |
0 | 0 | 0 | 61 | -26 | 86 |
0 | 0 | 0 | 0 | -50 | -92 |