Manuals/calci/PENTADIAGONAL
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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")
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 |