A Criterion for Reducibility of Matrices
نویسندگان
چکیده
The problem of existence and characterization of non-trivial reducing subspaces for a given matrix is studied employing some basic tools of multilinear algebra. A criterion for reducibility of a single matrix is obtained which is also extended to the case of simultaneous reduction of two or more matrices.
منابع مشابه
REDUCIBILITY OF SOME INDUCED REPRESENTATIONS OF p-ADIC UNITARY GROUPS
In this paper we study reducibility of those representations of quasi-split unitary p-adic groups which are parabolically induced from supercuspidal representations of general linear groups. For a supercuspidal representation associated via Howe’s construction to an admissible character, we show that in many cases a criterion of Goldberg for reducibility of the induced representation reduces to...
متن کاملReducibility of zero curvature representations with application to recursion operators
We present a criterion for reducibility of zero curvature representations to a solvable subalgebra, hence to a chain of conservation laws. Our results are applied to inversion of recursion operators.
متن کاملImproving Chernoff criterion for classification by using the filled function
Linear discriminant analysis is a well-known matrix-based dimensionality reduction method. It is a supervised feature extraction method used in two-class classification problems. However, it is incapable of dealing with data in which classes have unequal covariance matrices. Taking this issue, the Chernoff distance is an appropriate criterion to measure distances between distributions. In the p...
متن کاملOn completeness of reducibility candidates as a semantics of strong normalization
This paper defines a sound and complete semantic criterion, based on reducibility candidates, for strong normalization of theories expressed in minimal deduction modulo à la Curry. The use of Curry-style proof-terms allows to build this criterion on the classic notion of pre-Heyting algebras and makes that criterion concern all theories expressed in minimal deduction modulo. Compared to using C...
متن کاملOn Reducibility of Mapping Class Group Representations: the Su(n) Case
We review and extend the results of [1] that give a condition for reducibility of quantum representations of mapping class groups constructed from Reshetikhin-Turaev type topological quantum field theories based on modular categories. This criterion is derived using methods developed to describe rational conformal field theories, making use of Frobenius algebras and their representations in mod...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2007