منابع مشابه
Primitive Zero-Symmetric Sign Pattern Matrices with Zero Diagonal Attaining the Maximum Base
A sign pattern matrix or sign pattern A is a matrix whose entries are from the set {1,−1, 0}. Notice that for a square sign pattern matrixA, in the computation of the signs of the entries of the power A, an ambiguous sign may arise when a positive sign is added to a negative sign. So a new symbol # was introduced in 1 to denote such an ambiguous sign. The powers of a square sign pattern have be...
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We consider integer matrices Nt whose rows are indexed by the t-subsets of an n-set and whose columns are all distinct images of a particular column under the symmetric group Sn. Examples include matrices in the association algebras of the Johnson schemes. Three related problems are addressed. What is the Smith normal form (or a diagonal form) for Nt and the rank of Nt over a field of character...
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Orthogonal zero interpolants (OZI) are polynomials which interpolate the “zero-function” at a finite number of pre-assigned nodes and satisfy orthogonality condition. OZI’s can be constructed by the 3-term recurrence relation. These interpolants are found useful in the solution of constrained approximation problems and in the structure of Gauss-type quadrature rules. We present some theoretical...
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ژورنال
عنوان ژورنال: The Electronic Journal of Linear Algebra
سال: 2019
ISSN: 1081-3810
DOI: 10.13001/1081-3810.3918