Manuals/calci/PERSYMMETRIC

MATRIX("PERSYMMETRIC",order)

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: $A={\begin{bmatrix}a_{11}&a_{12}&a_{13}&a_{14}&a_{15}\\a_{21}&a_{22}&a_{23}&a_{24}&a_{14}\\a_{31}&a_{32}&a_{33}&a_{23}&a_{13}\\a_{41}&a_{42}&a_{32}&a_{22}&a_{12}\\a_{51}&a_{41}&a_{31}&a_{21}&a_{11}\end{bmatrix}}.$
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.