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On a Certain Matrix Product with Specified Latent Roots

Published online by Cambridge University Press:  20 January 2009

H. Nagler
H. Nagler
Affiliation:
25 Helenslea Avenue, London, N.W.ll.
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Vajda's paper in this volume has suggested to the author the following problem:

Let A be a n × m matrix, m≦ n, let B be a m × n matrix, and let M = I – AB, where I is the unit matrix of order n. Given A, to find B such that of the n latent roots of M′M, k are unity, and the remaining n — k are zero.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 10 , Issue 1 , January 1953 , pp. 21 - 24
Copyright
Copyright © Edinburgh Mathematical Society 1953

References

REFERENCES

(1)Turnbull, H. W. and Aitken, A. C., An introduction to the theory of canonicamatrices (Glasgow, 1932).Google Scholar
(2)Vajda, S., Proc. Edinburgh Math. Soc. (2), 10, 12–15.Google Scholar