MATRIX("PENTADIAGONAL",order)
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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")
Examples
1.MATRIX("pentadiagonal")
-58
15
-4
-54
55
-75
21
-25
-64
2.MATRIX("pentadiagonal",6)
54
-56
-28
0
0
0
62
-96
-82
-49
0
0
15
23
20
30
94
0
0
80
95
76
-82
66
0
0
-60
-27
-82
-87
0
0
0
-43
19
89
3.MATRIX("pentadiagonal:negative",4)
-59.92012487258762
-79.75753229111433
-20.13208125717938
0
-47.0609312877059
-7.832704461179674
-29.973211092874408
-12.44902245234698
-47.85296192858368
-67.0970072504133
-53.094227402471006
-84.4662182033062
0
-12.941046571359038
-31.090207281522453
-52.342877350747585
4.MATRIX("pentadiagonal:positive",5)
86.68749532662332
69.28418821189553
15.4073191806674
0
0
35.21442376077175
31.06112303212285
35.75007226318121
77.74382838979363
0
24.096227367408574
42.69053868483752
98.5696179093793
5.866385693661869
81.69623236171901
0
80.96880922093987
67.79956801328808
45.05093654152006
71.03362120687962
0
0
32.176876766607165
47.92787255719304
48.10425683390349
See Also
References 