Functions of matrices with nonnegative entries
نویسندگان
چکیده
منابع مشابه
determinant of the hankel matrix with binomial entries
abstract in this thesis at first we comput the determinant of hankel matrix with enteries a_k (x)=?_(m=0)^k??((2k+2-m)¦(k-m)) x^m ? by using a new operator, ? and by writing and solving differential equation of order two at points x=2 and x=-2 . also we show that this determinant under k-binomial transformation is invariant.
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An L-matrix is a matrix whose off-diagonal entries belong to a set L, and whose diagonal is zero. Let N(r, L) be the maximum size of a square L-matrix of rank at most r. Many applications of linear algebra in extremal combinatorics involve a bound on N(r, L). We review some of these applications, and prove several new results on N(r, L). In particular, we classify the sets L for which N(r, L) i...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1992
ISSN: 0024-3795
DOI: 10.1016/0024-3795(92)90268-f