Difference between revisions of "Manuals/calci/PENTADIAGONAL"

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Line 9: Line 9:
 
<math>A=\begin{pmatrix}  
 
<math>A=\begin{pmatrix}  
 
c_1 & d_1 & e_1 & 0 & \cdots & \cdots & 0 \\  
 
c_1 & d_1 & e_1 & 0 & \cdots & \cdots & 0 \\  
b_1 & c_2 & d_2 & e_2 & \ddots & & \vdots \\
+
b_1 & c_2 & d_2 & e_2 & \ddots &\cdots & \vdots \\
 
a_1 & b_2 & \cdots & \ddots & \ddots & \ddots & \vdots \\
 
a_1 & b_2 & \cdots & \ddots & \ddots & \ddots & \vdots \\
 
0 & a_2 & \cdots & \ddots & \ddots & e_{n-3} & 0 \\
 
0 & a_2 & \cdots & \ddots & \ddots & e_{n-3} & 0 \\

Revision as of 13:33, 5 May 2015

MATRIX("PENTADIAGONAL",order)


  • is the size of the Pentadiagonal matrix.

Description

  • This function gives the pentadiagonal matrix of order 3.
  • A pentadiagonal matrix is a matrix that is nearly diagonal.
  • So it is a matrix in which the only nonzero entries are on the main diagonal, and the first two diagonals above and below it.
  • The form of pentadiagonal matrix is:

.

  • When n is the size of the matrix, a pentadiagonal matrix has atmost 5n-6 nonzero entries.
  • Here MATIRX("pentadiagonal") is showing the penta diagonal matrix of order 3 with the integer numbers.
  • Also in Calci users can get a deimal values with positive and negative numbers.
  • The syntax is to get the decimal penta diagonal matrix is MATRIX("pentadiagonal:negative") and MATRIX(pentadiagonal:positive")