Difference between revisions of "Manuals/calci/CENTROSYMMETRIC"
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(Created page with "<div style="font-size:30px">'''CENTROSYMMETRIC'''</div><br/>") |
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| − | <div style="font-size:30px">'''CENTROSYMMETRIC'''</div><br/> | + | <div style="font-size:30px">'''MATRIX("CENTROSYMMETRIC",order)'''</div><br/> |
| + | *<math> order </math> 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 | ||
| + | <math>A_{i,j} = A_{n−i+1,n−j+1} for 1 \le i,j \le n </math>. | ||
| + | *All 2x2 centrosymmetric matrices have the form..... | ||
| + | *All 3×3 centrosymmetric matrices have the form.... | ||
| + | *Symmetric Toeplitz matrices are centrosymmetric. | ||
| + | *Here MATRIX("centrosymmetric",5) gives centrosymmetric matrices of order 5. | ||
Revision as of 12:10, 17 April 2015
MATRIX("CENTROSYMMETRIC",order)
- is the order of the Centro symmetric matrix.
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 (syntax error): {\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",5) gives centrosymmetric matrices of order 5.