matrix A=a_(ij) is called reducible if the indices 1, 2, ..., n can be divided into two disjoint nonempty sets i_1 , i_2 , ..., i_mu and j_1 , j_2 , ..., j_nu (with mu+nu=n ) ...
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An $n\times n$ matrix $A$ is said to be a reducible matrix if and only if for some permutation matrix $P$ , the matrix $P^TAP$ is block upper triangular.
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Perron–Frobenius theorem - Wikipedia, the free encyclopedia
en.wikipedia.org/wiki/Perron%E2%80%93Frobenius_theorem
A matrix is reducible if it is not irreducible. .... square matrix A may be written in upper-triangular block form (known as the normal form of a reducible matrix) ... |
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Jan 14, 2011 ... A matrix, A, is fully decomposable (or reducible) if there exists a permutation matrix P such that PTAP is of the form [B C; 0 D] where B and D are ...
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Definition of reducible matrix. See also related topics, MathWorld classification, MSC 2010 classification, ...
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2, April- June 1969 Cuttable and Cut-Reducible Matrices * Rosalind B. ... Introduction Block diagonal and reducible matrices are characterized by the presence ...
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Rank-Reducibility of a Symmetric Matrix. Let S be a p x p symmetric matrix. The following question will be considered in this section: To what extent can one ...
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Jacobi and Gauss-Seidel for diagonally dominant matrices. Definition 5.20 ([ir] reducible matrix) A ∈ Kn×n is called reducible if there exists permutation of the ...
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An n Xn matrix A is said to be reducible if there exists a permuta- tion matrix P so ... posable [nearly reducible] matrices (see [4], [5]) did not assert. AI, A2, . . . ,A,-1 ...
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some questions about reducible matrices and operators Linear & Abstract Algebra discussion.
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