vol3_pp103-118. 161KB Jun 04 2011 12:06:14 AM
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Such a definition is given in section 2 of the present paper; moreover, in Theorem (2.13) we prove that, under some very general conditions on the defining sequence ( a n ), every A ⊆
In this article a fast computational method is provided in order to calculate the Moore-Penrose inverse of full rank m × n matrices and of square matrices with at least one zero row
Although we do not know the minimum spectral norm for all cases where n = 2 m , we will prove in Theorem 3.5 that any tournament matrix of even order that attains the minimum
In thisnote it isshown that Atiyah’sconjecture istrue for two special configurationsof N points. For one of these configurations, it is shown that a stronger conjecture of Atiyah
As is well known, the Schur complements of strictly or irreducibly diagonally dom- inant matrices are H − matrices; however, the same is not true of generally diagonally
positive semi-definite nullity of a graph G is the same as the problem of finding the minimum positive semi-definite rank of G.. Without the requirement that the matrices in (1.1)
For normal matrices in WPFn and those in WPFn for which the spectral radius is simple, we present approximating matrices that satisfy the strong P-F property and are polynomials
In this section, we will use our results on the inertia sets of connected minimum rank 2 graphs and our results on the structure of these minimum rank matrices to investigate
