Description
A
Hilbert
matrix with the first row replaced by ones. It is unsymmetric,
ill conditioned
,
totally positive
, and has many small, negative eigenvalues. The inverse has integer entries and is known explicitly.
References
This generator is adapted from Nicholas J. Higham's
Test Matrix Toolbox
.
M. Lotkin, A set of test matrices, MTAC, 9 (1955), pp. 153-161.
The Matrix Market is a service of the
Mathematical and Computational Sciences Division
/
Information Technology Laboratory
/
National Institute of Standards and Technology
[
MatrixMarket Home
] [
MatrixMarket Deli Home
] [
Search
] [
Browse
] [
Resources
]
Page created 1997-03-03, last modified 2000-08-06. [
matrixmarket
@
nist.gov
]