منابع مشابه
Spaces of Matrices with Several Zero Eigenvalues
Let V be an w-dimensional vector space over some field F, \F\ ^ n, and let SC be a space of linear mappings from V into itself {SC ^ Horn (V, V)) with the property that every mapping has at least r zero eigenvalues. If r = 0 this condition is vacuous but if r = 1 it states that SC is a space of singular mappings; in this case Flanders [1] has shown that d im#"^n(n — 1) and that if dim #" = n(n ...
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The dimensions of sets of matrices of various types, with specified eigenvalue multiplicities, are determined. The dimensions of the sets of matrices with given Jordan form and with given singular value multiplicities are also found. Each corresponding codimension is the number of conditions which a matrix of the given type must satisfy in order to have the specified multiplicities.
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The results presented in this paper were motivated by a study of certain patterns, known as restriction sites, in DNA sequences. DNA sequences can be thought of as finite words over a four-letter alphabet {A, T, G, C}, and restriction sites are (sequence-specific) locations of positions in double-stranded DNA where it is cut by a protein known as a restriction enzyme. See Watson (1977). For exa...
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ژورنال
عنوان ژورنال: Special Matrices
سال: 2014
ISSN: 2300-7451
DOI: 10.2478/spma-2014-0020