Estimate bounds for the Perron root of a nonnegative matrix are important in theory of nonnegative matrices.It is more practical when the bounds are expressed as an easily calcu-lated function in elements of matrices....Estimate bounds for the Perron root of a nonnegative matrix are important in theory of nonnegative matrices.It is more practical when the bounds are expressed as an easily calcu-lated function in elements of matrices.For the Perron root of nonnegative irreducible matrices,three sequences of lower bounds are presented by means of constructing shifted matrices,whose convergence is studied.The comparisons of the sequences with known ones are supplemented with a numerical example.展开更多
In this paper we research the homogeneous input output model of forward delay that lag is one production cycle. It is conformed that the necessary and sufficient conditions of economic balanced development are that t...In this paper we research the homogeneous input output model of forward delay that lag is one production cycle. It is conformed that the necessary and sufficient conditions of economic balanced development are that the output vector GENG Xian\|min Xinjiang Petroleum Institute, Urumqi 830000, ChinaAbstract:\ In this paper we research the homogeneous input output model of forward delay that lag is one production cycle. It is conformed that the necessary and sufficient conditions of economic balanced development are that the output vector X(t) is the right positive characteristic vector of (I-A) -1 (A+B), and the input vector is AX(t). We also constitute the workable economic subset S-,when the output vector of the first production cycle is X(1), the economy will surely collapse.展开更多
基金the National Natural Science Foundation of China (No.10771030)Project for Academic Leader and Group of UESTC (No.L08011001JX0776)
文摘Estimate bounds for the Perron root of a nonnegative matrix are important in theory of nonnegative matrices.It is more practical when the bounds are expressed as an easily calcu-lated function in elements of matrices.For the Perron root of nonnegative irreducible matrices,three sequences of lower bounds are presented by means of constructing shifted matrices,whose convergence is studied.The comparisons of the sequences with known ones are supplemented with a numerical example.
文摘In this paper we research the homogeneous input output model of forward delay that lag is one production cycle. It is conformed that the necessary and sufficient conditions of economic balanced development are that the output vector GENG Xian\|min Xinjiang Petroleum Institute, Urumqi 830000, ChinaAbstract:\ In this paper we research the homogeneous input output model of forward delay that lag is one production cycle. It is conformed that the necessary and sufficient conditions of economic balanced development are that the output vector X(t) is the right positive characteristic vector of (I-A) -1 (A+B), and the input vector is AX(t). We also constitute the workable economic subset S-,when the output vector of the first production cycle is X(1), the economy will surely collapse.
