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Matrices with prescribed characteristic polynomial and principal blocks

Published online by Cambridge University Press:  20 January 2009

G. N. De Oliveira
G. N. De Oliveira
Affiliation:
Instituto de Matemática, 3000 Coimbra, Portugal
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Let A be a matrix over a field Φ partitioned as follows

where A11 is n×n and A22 is m×m. The objective of the present paper is to give further results on the problems mentioned in Section 1 of (3). Concretely we shall consider the following question: “we prescribe the characteristic polynomial f(λ) = λn+m−c1λn+m−1 + … of A and the principal blocks A11, A22. Find a necessary and sufficient condition for the existence of A satisfying these prescribed conditions”.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 24 , Issue 3 , October 1981 , pp. 203 - 208
Copyright
Copyright © Edinburgh Mathematical Society 1981

References

REFERENCES

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