We present a conjectural formula for the principal minors and the characteristic polynomial of Gross’s regulator matrix associated to a totally odd character of a totally real field. The formula is ...
Abstract: In this note a theorem is proved which permits calculation of derivatives of characteristic polynomials of linear systems with respect to a constant output feedback matrix.
The second path matrix S(G) collects all the second paths in the graph G. Its characteristic polynomial shows some regularity in several particular graphs, such as paths, cycles, stars and complete ...
ABSTRACT: Let A be the linear transformation on the linear space V in the field P, V λ i be the root subspace corresponding to the characteristic polynomial of the eigenvalue λ i , and W λ i be the ...
ABSTRACT: Let A be the linear transformation on the linear space V in the field P, V λ i be the root subspace corresponding to the characteristic polynomial of the eigenvalue λ i , and W λ i be the ...
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