- irreducible matrix
- мат.неприводимая матрица
English-Russian scientific dictionary. 2008.
irreducible matrix
Смотреть что такое "irreducible matrix" в других словарях:
irreducible — adjective Date: 1633 1. impossible to transform into or restore to a desired or simpler condition < an irreducible matrix >; specifically incapable of being factored into polynomials of lower degree with coefficients in some given field (as the… … New Collegiate Dictionary
Irreducible (mathematics) — In mathematics, the term irreducible is used in several ways. * In abstract algebra, irreducible can be an abbreviation for irreducible element; for example an irreducible polynomial. * In representation theory, an irreducible representation is a … Wikipedia
Matrix coefficient — In mathematics, a matrix coefficient (or matrix element) is a function on a group of a special form, which depends on a linear representation of the group and additional data. For the case of a finite group, matrix coefficients express the action … Wikipedia
Diagonally dominant matrix — In mathematics, a matrix is said to be diagonally dominant if for every row of the matrix, the magnitude of the diagonal entry in a row is larger than or equal to the sum of the magnitudes of all the other (non diagonal) entries in that row. More … Wikipedia
Wigner D-matrix — The Wigner D matrix is a matrix in an irreducible representation of the groups SU(2) and SO(3). The complex conjugate of the D matrix is an eigenfunction of the Hamiltonian of spherical and symmetric rigid rotors. Definition Wigner D matrix Let j … Wikipedia
Decomposition matrix — In mathematics, and in particular modular representation theory, a decomposition matrix is a matrix that results from writing the irreducible ordinary characters in terms of the irreducible modular characters, where the entries of the two sets of … Wikipedia
Density matrix — Mixed state redirects here. For the psychiatric condition, see Mixed state (psychiatry). In quantum mechanics, a density matrix is a self adjoint (or Hermitian) positive semidefinite matrix (possibly infinite dimensional) of trace one, that… … Wikipedia
S-matrix — Scattering matrix redirects here. For the meaning in linear electrical networks, see scattering parameters. In physics, the scattering matrix (S matrix) relates the initial state and the final state for an interaction of particles. It is used in… … Wikipedia
Immanant of a matrix — Immanant redirects here, it should not be confused with the philosophical immanent. In mathematics, the immanant of a matrix was defined by Dudley E. Littlewood and Archibald Read Richardson as a generalisation of the concepts of determinant and… … Wikipedia
Perron–Frobenius theorem — In linear algebra, the Perron–Frobenius theorem, proved by Oskar Perron (1907) and Georg Frobenius (1912), asserts that a real square matrix with positive entries has a unique largest real eigenvalue and that the corresponding… … Wikipedia
Schur orthogonality relations — In mathematics, the Schur orthogonality relations express a central fact about representations of finite groups. They admit a generalization to the case of compact groups in general, and in particular compact Lie groups, such as the rotation… … Wikipedia
