منابع مشابه
Products of Schur and Factorial Schur Functions
The product of any finite number of Schur and factorial Schur functions can be expanded as a Z[y]-linear combination of Schur functions. We give a rule for computing the coefficients in such an expansion which generalizes the classical Littlewood-Richardson rule.
متن کاملProducts of Factorial Schur Functions
The product of any finite number of factorial Schur functions can be expanded as a Z[y]-linear combination of Schur functions. We give a rule for computing the coefficients in such an expansion which generalizes a specialization of the Molev-Sagan rule, which in turn generalizes the classical Littlewood-Richardson rule.
متن کاملMultiplicity-Free Products of Schur Functions
We classify all multiplicity-free products of Schur functions and all multiplicity-free products of characters of SL(n; C). 0. Introduction In this paper, we classify the products of Schur functions that are multiplicity-free; i.e., products for which every coeecient in the resulting Schur function expansion is 0 or 1. We also solve the slightly more general classiication problem for Schur func...
متن کاملA Krylov-Schur Algorithm for Matrix Products?
Stewart’s recently introduced Krylov-Schur algorithm is a modification of the implicitly restarted Arnoldi algorithm which employs reordered Schur decompositions to perform restarts and deflations in a numerically reliable manner. This paper describes a variant of the Krylov-Schur algorithm suitable for addressing eigenvalue problems associated with products of large and sparse matrices. It per...
متن کاملComputation of Outer Products of Schur Functions
Title ofprogram: Schur Method of solution A new backtracking algorithm [1] is implemented to generate Catalogue number: AAMJ the partitions that appear in the expansion of a product of Schur functions. Program obtainable from: CPC Program Library, Queen’s University of Belfast, N. Ireland (see application form in this issue) Restrictions on the complexity of the problem The size of the problem ...
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ژورنال
عنوان ژورنال: ScienceOpen Research
سال: 2014
ISSN: 2199-1006
DOI: 10.14293/s2199-1006.1.sor-math.azgkc0.v1