Difference between revisions of "Manuals/calci/TRIDIAGONAL"

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==Examples==
 
==Examples==
*MATRIX("tridiagonal")
+
*MATRIX("tridiagonal") =18
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*MATRIX("tridiagonal",3)
 
{| class="wikitable"
 
{| class="wikitable"
 
|-
 
|-
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|0 || 0 || 0 || 0 || -50 || -92  
 
|0 || 0 || 0 || 0 || -50 || -92  
 
|}
 
|}
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==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

Related Videos

Tridiagonal Matix

See Also

References