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Hilbert matrix

In linear algebra, a Hilbert Matrix is a matrix with elements Hij = 1 / (i + j - 1)

For example, this is the 5 x 5 Hilbert matrix:

The Hilbert matrix is derived from the integral

The Hilbert matrices are the canonical examples of ill-conditioned matrices, making them notoriously difficult to use in numerical computation.

Referenced By

List of functional analysis topics | List of mathematical topics (G-I) | List of mathematical topics (G-Z) | List of matrices

 

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This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Hilbert matrix".

 

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