Manuals/calci/ARROWHEAD

MATRIX("ARROWHEAD",order)


  • is the order of the arrowhead matrix.

Description

  • This function returns the matrix with the type arrowhead.
  • In mathematical, a square matrix containing zeros in all entries except for the first row first column and main diagonal.
  • i.e., The matrix of the form

A=  

  • So Calci displays, the elements of the arrowhead matirx are 1 except 1st row and column and main diagonal.
  • The matrix has the form Any symmetric permutation of the arrowhead matrix, where P is a permutation matrix is a arrowhead matrix.
  • i.e.,  where P is a permutation matrix is a arrowhead matrix.
  • Real symmetric arrowhead matrices are often an essential tool for the computation of the eigenvalues

Examples

  • MATRIX("arrowhead") = 1
  • MATRIX("arrowhead",3)
1 1 1
1 1 0
1 0 1
  • MATRIX("arrowhead",5)
1 1 1 1 1
1 1 0 0 0
1 0 1 0 0
1 0 0 1 0
1 0 0 0 1

See Also

References