Immanant of a matrix

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위키데이터

• ID : Q15297666

말뭉치

1. The arbitrary immanants of three matrices whose determinants are known to be generating functions for sets of combinatorial objects are examined.
2. Combinatorial interpretations are given for the immanants of the Matrix-tree matrix, and a special case of the Jacobi-Trudi matrix.
3. These allow us to deduce immediately the nonnegativity of the coefficients in the expansion of the immanants.
4. A conjecture is made about the nonnegativity of coefficients of the expansion of the immanant of the Jacobi-Trudi matrix in the general case.
5. He used the immanants of certain matrices whose entries are symmetric functions to define the Schur functions (cf.
6. Given the plethora of inequalities and identities that involve the determinant and permanent functions, it is natural to seek generalizations of these relations to other immanants.
7. This gives a partial order on the characters and also the immanants.
8. These papers provide a partial resolution to the conjectured inequality in (a2), by showing that the permanent dominates the immanants associated with various characters.
9. General properties of immanants are derived with special emphasis on practical methods of computing them.
10. A general theorem on the structure of the immanants of a skew-symmetric matrix of odd order is proven.
11. Littlewood and Richardson studied the relation of the immanant to Schur functions in the representation theory of the symmetric group.
12. and you can't easily manipulate expressions of immanants.
13. However, the Hamiltonian cycle problem is NP-complete, so it would be surprising if there were a quick way to compute this linear combination of immanants.
14. Early results on the connections to twisted immanants are also included.
15. Here is a neat interpretation of the immanant, which (to my dismay) already appeared in the paper referenced in the first comment.
16. In this work, we recall the definition of matrix immanants, a generalization of the determinant and permanent of a matrix.
17. As a noun immanant is (linear algebra) a function or property of a matrix, defined as a generalization of the concepts of determinant and.

메타데이터

위키데이터

• ID : Q15297666

Spacy 패턴 목록

• [{'LOWER': 'immanant'}, {'LOWER': 'of'}, {'LOWER': 'a'}, {'LEMMA': 'matrix'}]