A relationship between characteristic values and vectors
Authors:
E. T. Beasley and P. M. Gibson
Journal:
Proc. Amer. Math. Soc. 43 (1974), 71-78
MSC:
Primary 15A18
DOI:
https://doi.org/10.1090/S0002-9939-1974-0340274-3
MathSciNet review:
0340274
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Abstract | References | Similar Articles | Additional Information
Abstract: It is shown that for all nonzero -component column vectors
and
over a field
there exists a set
of
-square matrices over
of cardinality
such that, for each
-square matrix
over
or
if and only if 1 is a characteristic value of PA for every
.
- [1] Richard A. Brualdi and Helmut W. Wielandt, A spectral characterization of stochastic matrices, Linear Algebra Appl. 1 (1968), no. 1, 65–71. MR 223387, https://doi.org/10.1016/0024-3795(68)90049-9
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1974-0340274-3
Article copyright:
© Copyright 1974
American Mathematical Society