منابع مشابه
Generalized Perron-Frobenius Theorem for Nonsquare Matrices
The celebrated Perron–Frobenius (PF) theorem is stated for irreducible nonnegative square matrices, and provides a simple characterization of their eigenvectors and eigenvalues. The importance of this theorem stems from the fact that eigenvalue problems on such matrices arise in many fields of science and engineering, including dynamical systems theory, economics, statistics and optimization. H...
متن کاملGeneralized Integrals and Differential Equations.
in which a and b are continuously differentiate functions of two variables, fix) a continuously difierentiable function. The routine estimate of fadb gives bounds depending either on /| d/(x) | or on the maximum of | df/dx\ in the interval of integration. It is, however, possible, as shown in Theorem 1, to give a bound that is entirely independent'of the derivative of fix), and, consequently, t...
متن کاملA note on generalized Perron complements of Z-matrices
The concept of the Perron complement of a nonnegative and irreducible matrix was introduced by Meyer in 1989 and it was used to construct an algorithm for computing the stationary distribution vector for Markov chains. Here properties of the generalized Perron complement of an n×n irreducible Z-matrixK are considered. First the result that the generalized Perron complements of K are irreducible...
متن کاملGeneralized Perron-Frobenius Theorem for Multiple Choice Matrices, and Applications
The celebrated Perron–Frobenius (PF) theorem is stated for irreducible nonnegative square matrices, and provides a simple characterization of their eigenvectors and eigenvalues. The importance of this theorem stems from the fact that eigenvalue problems on such matrices arise in many fields of science and engineering, including dynamical systems theory, economics, statistics and optimization. H...
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ژورنال
عنوان ژورنال: Tohoku Mathematical Journal
سال: 1949
ISSN: 0040-8735
DOI: 10.2748/tmj/1178245775