Manuals/calci/HILBERT

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MATRIX("HILBERT",order)


  • is the order of the Hilbert matrix.

Description

  • This function gives matrix of order 3x3 with the property of Hilbert.
  • A Hilbert matrix, is a square matrix with entries being the unit fractions. i.e.,.
  • The Hilbert matrix is an example of a Hankel matrix.
  • The Hilbert matrix is symmetric and positive definite.
  • Also Hilbert matrices are canonical examples of ill-conditioned matrices, making them notoriously difficult to use in numerical computation.
  • Here MATRIX("hilbert") gives the hilbert matrices with a decimal places .
  • i.e., For 1/2 it will show 0.5, 1/3 will show 0.333 and so on.