Manuals/calci/PERSYMMETRIC - Revision history

Devika: /* Examples */

2015-10-26T07:36:45Z

Examples

2015-07-26T13:58:45Z

2015-05-15T16:17:42Z

References

2015-05-04T15:25:38Z

2015-05-04T14:56:15Z

2015-04-30T05:29:56Z

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

New page

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

@@ Line 20: / Line 20: @@
 ==Examples==
-*MATRIX("persymmetric")
+*MATRIX("persymmetric",3)
 {| class="wikitable"
 |-

@@ Line 57: / Line 57: @@
 | 1 ||	0 || 1 || 0 ||	1
 |}
 ==See Also==

← Older revision		Revision as of 16:17, 15 May 2015
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	==References==		==References==
		+	*[http://en.wikipedia.org/wiki/Persymmetric_matrix Persymmetric Matrix]

← Older revision		Revision as of 15:25, 4 May 2015
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	* In Calci MATRIX("persymmetric") shows the matrix with the negative and positive integer values.		* In Calci MATRIX("persymmetric") shows the matrix with the negative and positive integer values.
	*MATRIX("persymmetric:boolean",5) gives the persymmetric matrix of order 5 with the values 0 and 1.		*MATRIX("persymmetric:boolean",5) gives the persymmetric matrix of order 5 with the values 0 and 1.
		+
		+
		+	==Examples==
		+	*MATRIX("persymmetric")
		+	{\| class="wikitable"
		+	\|-
		+	\| 58 \|\| -16 \|\| 48
		+	\|-
		+	\| -39 \|\| -1 \|\| -16
		+	\|-
		+	\| -49 \|\| -39 \|\| 58
		+	\|}
		+	*MATRIX("persymmetric:integer",6)
		+	{\| class="wikitable"
		+	\|-
		+	\| -53 \|\| 62 \|\| -80 \|\| 57 \|\| -58 \|\| 12
		+	\|-
		+	\| 24 \|\| 76 \|\| 86 \|\| -29 \|\| 0 \|\| -58
		+	\|-
		+	\| -15 \|\| -67 \|\| -58 \|\| -66 \|\| -29 \|\| 57
		+	\|-
		+	\| -49 \|\| 41 \|\| 26 \|\| -58 \|\| 86 \|\| -80
		+	\|-
		+	\| -78 \|\| 22 \|\| 41 \|\| -67 \|\| 76 \|\| 62
		+	\|-
		+	\| 19 \|\| -78 \|\| -49 \|\| -15 \|\| 24 \|\| -53
		+	\|}
		+	*MATRIX("persymmetric:boolean",5)
		+	{\| class="wikitable"
		+	\|-
		+	\| 1 \|\| 0 \|\| 0 \|\| 0 \|\| 0
		+	\|-
		+	\| 0 \|\| 1 \|\| 0 \|\| 1 \|\| 0
		+	\|-
		+	\| 1 \|\| 0 \|\| 1 \|\| 0 \|\| 0
		+	\|-
		+	\| 0 \|\| 1 \|\| 0 \|\| 1 \|\| 0
		+	\|-
		+	\| 1 \|\| 0 \|\| 1 \|\| 0 \|\| 1
		+	\|}
		+
		+	==See Also==
		+	*[[Manuals/calci/SYMMETRIC\| SYMMETRIC]]
		+	*[[Manuals/calci/CONFERENCE\| CONFERENCE]]
		+	*[[Manuals/calci/TRIANGULAR\| TRIANGULAR]]
		+
		+	==References==

← Older revision		Revision as of 14:56, 4 May 2015
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−	<div style="font-size:30px">'''PERSYMMETRIC'''</div><br/>	+	<div style="font-size:30px">'''MATRIX("PERSYMMETRIC",order)'''</div><br/>
		+	*<math>order</math> is the size of the Persymmetric matrix.
		+
		+	==Description==
		+	*This function returns the persymmetric matrix of order 3.
		+	*A symmetric matrix is a matrix whose values are symmetric in the northwest-to-southeast diagonal.
		+	*If a symmetric matrix is rotated by 90°, it becomes a persymmetric matrix.
		+	*Symmetric persymmetric matrices are sometimes called bisymmetric matrices.
		+	*i.e., A persymmetric matrix is a square matrix which is symmetric in the northeast-to-southwest diagonal.
		+	*The form for Persymmetric matrix of order 5x5 is:<math>A = \begin{bmatrix}
		+	a_{11} & a_{12} & a_{13} & a_{14} & a_{15} \\
		+	a_{21} & a_{22} & a_{23} & a_{24} & a_{14} \\
		+	a_{31} & a_{32} & a_{33} & a_{23} & a_{13} \\
		+	a_{41} & a_{42} & a_{32} & a_{22} & a_{12} \\
		+	a_{51} & a_{41} & a_{31} & a_{21} & a_{11}
		+	\end{bmatrix}.</math>
		+	* In Calci MATRIX("persymmetric") shows the matrix with the negative and positive integer values.
		+	*MATRIX("persymmetric:boolean",5) gives the persymmetric matrix of order 5 with the values 0 and 1.