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A family of test matrices

By A. C. R. Newbery
Communications of the ACM, December 1964, Vol. 7 No. 12, Page 724
10.1145/355588.365131
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A family of test matrices with the following properties is described here: (a) an explicit inverse is given; (b) the characteristic polynomial is easily obtained; (c) a large measure of control over the eigenvalues is possible; (d) in special cases the eigenvalues and eigenvectors can be given explicitly, and the P-condition number can be arbitrarily assigned.

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