Manuals/calci/HILBERT
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.