Immanant of a matrix
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위키데이터
- ID : Q15297666
말뭉치
- The arbitrary immanants of three matrices whose determinants are known to be generating functions for sets of combinatorial objects are examined.[1]
- Combinatorial interpretations are given for the immanants of the Matrix-tree matrix, and a special case of the Jacobi-Trudi matrix.[1]
- These allow us to deduce immediately the nonnegativity of the coefficients in the expansion of the immanants.[1]
- A conjecture is made about the nonnegativity of coefficients of the expansion of the immanant of the Jacobi-Trudi matrix in the general case.[1]
- He used the immanants of certain matrices whose entries are symmetric functions to define the Schur functions (cf.[2]
- 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.[2]
- This gives a partial order on the characters and also the immanants.[2]
- These papers provide a partial resolution to the conjectured inequality in (a2), by showing that the permanent dominates the immanants associated with various characters.[2]
- General properties of immanants are derived with special emphasis on practical methods of computing them.[3]
- A general theorem on the structure of the immanants of a skew-symmetric matrix of odd order is proven.[3]
- Littlewood and Richardson studied the relation of the immanant to Schur functions in the representation theory of the symmetric group.[4]
- and you can't easily manipulate expressions of immanants.[5]
- 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.[5]
- Early results on the connections to twisted immanants are also included.[6]
- Here is a neat interpretation of the immanant, which (to my dismay) already appeared in the paper referenced in the first comment.[7]
- In this work, we recall the definition of matrix immanants, a generalization of the determinant and permanent of a matrix.[8]
- As a noun immanant is (linear algebra) a function or property of a matrix, defined as a generalization of the concepts of determinant and.[9]
소스
- ↑ 1.0 1.1 1.2 1.3 Immanants of combinatorial matrices
- ↑ 2.0 2.1 2.2 2.3 Encyclopedia of Mathematics
- ↑ 3.0 3.1 A note on the theory of immanants
- ↑ Wikipedia
- ↑ 5.0 5.1 What are the applications of immanants?
- ↑ Immanants of unitary matrices and their submatrices
- ↑ Generalizing Determinants Through Multilinear Algebra and Immanants
- ↑ On immanant functions related to Weyl groups of An
- ↑ Immenent vs Immanant - What's the difference?
메타데이터
위키데이터
- ID : Q15297666
Spacy 패턴 목록
- [{'LOWER': 'immanant'}, {'LOWER': 'of'}, {'LOWER': 'a'}, {'LEMMA': 'matrix'}]