Manuals/calci/PENTADIAGONAL - Revision history

Devika: /* Examples */

2015-10-26T07:33:56Z

Examples

Devika: /* References */

2015-05-15T16:13:44Z

References

Devika at 18:55, 5 May 2015

2015-05-05T18:55:46Z

Devika: /* Description */

2015-05-05T18:34:26Z

Description

Devika: /* Description */

2015-05-05T18:33:54Z

Description

Devika at 18:32, 5 May 2015

2015-05-05T18:32:58Z

Abin: Created page with "
'''PENTADIAGONAL'''

"

2015-04-30T05:36:20Z

Created page with "<div style="font-size:30px">'''PENTADIAGONAL'''</div><br/>"

New page

<div style="font-size:30px">'''PENTADIAGONAL'''</div><br/>

@@ Line 22: / Line 22: @@
 ==Examples==
-*1.MATRIX("pentadiagonal")
+*1.MATRIX("pentadiagonal") =22
 {| class="wikitable"
 |-
@@ Line 31: / Line 32: @@
 | 21 || -25 || -64
 |}
-*2.MATRIX("pentadiagonal",6)
+*3.MATRIX("pentadiagonal",6)
 {| class="wikitable"
 |-
@@ Line 46: / Line 47: @@
 | 0 || 0 || 0 || -43 || 19 || 89
 |}
-*3.MATRIX("pentadiagonal:negative",4)
+*4.MATRIX("pentadiagonal:negative",4)
 {| class="wikitable"
 |-
@@ Line 57: / Line 58: @@
 | 0 || -12.941046571359038 || -31.090207281522453 || -52.342877350747585
 |}
-*4.MATRIX("pentadiagonal:positive",5)
+*5.MATRIX("pentadiagonal:positive",5)
 {| class="wikitable"
 |-
@@ Line 70: / Line 71: @@
 | 0 || 0 || 32.176876766607165 || 47.92787255719304 || 48.10425683390349
 |}
-−
 ==See Also==
 *[[Manuals/calci/SYMMETRIC| SYMMETRIC]]

← Older revision		Revision as of 16:13, 15 May 2015
Line 77:		Line 77:

	==References==		==References==
		+	*[http://en.wikipedia.org/wiki/Pentadiagonal_matrix Pentadiagonal Matrix]

← Older revision		Revision as of 18:55, 5 May 2015
Line 20:		Line 20:
	*Also in Calci users can get a deimal values with positive and negative 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")		*The syntax is to get the decimal penta diagonal matrix is MATRIX("pentadiagonal:negative") and MATRIX(pentadiagonal:positive")
		+
		+	==Examples==
		+	*1.MATRIX("pentadiagonal")
		+	{\| class="wikitable"
		+	\|-
		+	\| -58 \|\| 15 \|\| -4
		+	\|-
		+	\| -54 \|\| 55 \|\| -75
		+	\|-
		+	\| 21 \|\| -25 \|\| -64
		+	\|}
		+	*2.MATRIX("pentadiagonal",6)
		+	{\| class="wikitable"
		+	\|-
		+	\| 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)
		+	{\| class="wikitable"
		+	\|-
		+	\| -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)
		+	{\| class="wikitable"
		+	\|-
		+	\| 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==
		+	*[[Manuals/calci/SYMMETRIC\| SYMMETRIC]]
		+	*[[Manuals/calci/BIDIAGONAL\| BIDIAGONAL]]
		+	*[[Manuals/calci/TRIANGULAR\| TRIANGULAR]]
		+
		+	==References==

@@ Line 13: / Line 13: @@
 & a_2 & \cdots & \ddots & \ddots & e_{n-3} & 0 \\
 \vdots & \ddots & \ddots & \ddots & \ddots & d_{n-2} & e_{n-2} \\
-\vdots & & \ddots & a_{n-3} & b_{n-2} & c_{n-1} & d_{n-1} \\
+\vdots &\cdots& \ddots & a_{n-3} & b_{n-2} & c_{n-1} & d_{n-1} \\
 & \cdots & \cdots & 0 & a_{n-2} & b_{n-1} & c_n
 \end{pmatrix}</math>.

@@ Line 9: / Line 9: @@
 <math>A=\begin{pmatrix}
 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_2 & \cdots & \ddots & \ddots & e_{n-3} & 0 \\

← Older revision		Revision as of 18:32, 5 May 2015
Line 1:		Line 1:
−	<div style="font-size:30px">'''PENTADIAGONAL'''</div><br/>	+	<div style="font-size:30px">'''MATRIX("PENTADIAGONAL",order)'''</div><br/>
		+	*<math>order</math> 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:
		+	<math>A=\begin{pmatrix}
		+	c_1 & d_1 & e_1 & 0 & \cdots & \cdots & 0 \\
		+	b_1 & c_2 & d_2 & e_2 & \ddots & & \vdots \\
		+	a_1 & b_2 & \cdots & \ddots & \ddots & \ddots & \vdots \\
		+	0 & a_2 & \cdots & \ddots & \ddots & e_{n-3} & 0 \\
		+	\vdots & \ddots & \ddots & \ddots & \ddots & d_{n-2} & e_{n-2} \\
		+	\vdots & & \ddots & a_{n-3} & b_{n-2} & c_{n-1} & d_{n-1} \\
		+	0 & \cdots & \cdots & 0 & a_{n-2} & b_{n-1} & c_n
		+	\end{pmatrix}</math>.
		+	*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")

Manuals/calci/PENTADIAGONAL - Revision history

Devika: /* Examples */

Devika: /* References */

Devika at 18:55, 5 May 2015

Devika: /* Description */

Devika: /* Description */

Devika at 18:32, 5 May 2015

Abin: Created page with "'''PENTADIAGONAL'''"

Abin: Created page with "
'''PENTADIAGONAL'''

"