منابع مشابه
Irreducible Decomposition of Products of 10D Chiral Sigma Matrices
We review the enveloping algebra of the 10 dimensional chiral sigma matrices. To facilitate the computation of the product of several chiral sigma matrices we have developed a symbolic program. Using this program one can reduce the multiplication of the sigma matrices down to linear combinations of irreducilbe elements. We are able to quickly derive several identities that are not restricted to...
متن کاملProducts of irreducible random matrices in the (Max,+) Algebra
We consider the recursive equation “x(n + 1) = A(n) ⊗ x(n)” where x(n + 1) and x(n) are Rk-valued vectors and A(n) is an irreducible random matrix of size k × k. The matrix-vector multiplication in the (max,+) algebra is defined by (A(n) ⊗ x(n))i = maxj(Aij(n) + xj(n)). This type of equation can be used to represent the evolution of Stochastic Event Graphs which include cyclic Jackson Networks,...
متن کاملProducts of Irreducible Random Matrices in the ( max , + ) Algebra 1
We consider the recursive equation \x(n + 1) = A(n) x(n)" where x(n + 1) and x(n) are R k-valued vectors and A(n) is an irreducible random matrix of size k k. The matrix-vector multiplication in the (max,+) algebra is deened by (A(n) x(n)) i = max j (A ij (n) + x j (n)). This type of equation can be used to represent the evolution of Stochastic Event Graphs which include cyclic Jackson Networks...
متن کاملIrreducible Toeplitz and Hankel matrices
An infinite matrix is called irreducible if its directed graph is strongly connected. It is proved that an infinite Toeplitz matrix is irreducible if and only if almost every finite leading submatrix is irreducible. An infinite Hankel matrix may be irreducible even if all its finite leading submatrices are reducible. Irreducibility results are also obtained in the finite cases.
متن کاملProducts of Irreducible Random Matrices in the (Max,+) Algebra - Part I
The study of networks with synchronization, and more particularly of Stochastic Event Graphs has raised an interest for products of random matrices in the (Max; +) algebra. We consider a general model of type \x(n + 1) = A(n)x(n)" where x(n + 1) and x(n) are IR J-valued vectors and A(n) is an irreducible random matrix of size J J. The exogeneous sequence fA(n); n 2 INg is i.i.d or more generall...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1985
ISSN: 0024-3795
DOI: 10.1016/0024-3795(85)90211-3