Difference between revisions of "Manuals/calci/CENTROSYMMETRIC"

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Revision as of 23:42, 26 October 2015

MATRIX("CENTROSYMMETRIC",order)


  • is the order of the Centro symmetric matrix.

Description

  • This function gives the matrix of order 3 which is satisfying the property of centrosymmetric.
  • A centrosymmetric is the square matrix which is symmetric with its center.
  • An n × n matrix A = [ Ai,j ] is centrosymmetric when its entries satisfy

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle A_{i,j} = A_{n−i+1,n−j+1} for 1 \le i,j \le n } .

  • All 2x2 centrosymmetric matrices have the form:
  • All 3×3 centrosymmetric matrices have the form:

  • Symmetric Toeplitz matrices are centrosymmetric.
  • Here MATRIX("centrosymmetric") gives centrosymmetric matrices of order 3.
  • Users can change the order of the matrix and the entries in calci.

Examples

  • MATRIX("centrosymmetric",3)
80 15 58
-88 -15 -88
58 15 80
  • MATRIX("centrosymmetric",4,9..15)
(-5) 7 6 -9
0 -3 5 0
0 5 -3 0
(-9) 6 7 -5

See Also

References