This paper obtains a necessary and sufficient condition for an irreducible complex matrix whose comparison matrix is a singular M-matrix to be singular. This is used to establish a necessary and sufficient condition f...This paper obtains a necessary and sufficient condition for an irreducible complex matrix whose comparison matrix is a singular M-matrix to be singular. This is used to establish a necessary and sufficient condition for a boundary point of Brualdi’s inclusion region of the eigenvalues of an irreducible complex matrix to be an eigenvalue.展开更多
The block H-matrices are studied by the concept of G-functions, several concepts of block matrices are introduced. Equivalent characters of block H-matrices are obtained. Spectrum localizations characterized by G-func...The block H-matrices are studied by the concept of G-functions, several concepts of block matrices are introduced. Equivalent characters of block H-matrices are obtained. Spectrum localizations characterized by G-functions for block matrices are got.展开更多
Point pattern matchingisanimportantproblem inthefieldsofcomputervision and patternrecognition.In this paper,new algorithms based onirreducible matrix andrelativeinvariantfor matchingtwosets ofpoints withthe same ca...Point pattern matchingisanimportantproblem inthefieldsofcomputervision and patternrecognition.In this paper,new algorithms based onirreducible matrix andrelativeinvariantfor matchingtwosets ofpoints withthe same cardinality are proposed.Theirfundamentalideaistransformingthetwo dimensionalpointsets with n points intothe vectorsin n dimensional space. Considering these vectors as one dimensional point patterns,these new algorithms aim atreducingthe point matching problem to thatofsorting vectorsin n dimensionalspace aslong asthe sensornoise does notalterthe order ofthe elementsinthe vectors.Theoreticalanalysis and simulationresults show thatthe new algorithms are effective .展开更多
Properties of the active power/angle sub-matrix in the power flow Jacobian for power system analysis are studied. The sub-matrix is a dominant and irreducible matrix under very general conditions of power systems, so ...Properties of the active power/angle sub-matrix in the power flow Jacobian for power system analysis are studied. The sub-matrix is a dominant and irreducible matrix under very general conditions of power systems, so that it is invertible. Also the necessary conditions for its singularity are given. These theoretical results can be used to clarify the ambiguous understanding of the sub-matrix in current literature, and also provide the theoretical foundations for the applications based on reduced power flow Jaeobian. Numerical simulation on the IEEE 118-bus power system is used to illustrate our results.展开更多
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 discuss the contents of paper[l] with the authors,point out that the conclustions in paper[1] about the periodicity of any N ×N square matrix are inappropriate,and make some notes on the problem ...In this paper,we discuss the contents of paper[l] with the authors,point out that the conclustions in paper[1] about the periodicity of any N ×N square matrix are inappropriate,and make some notes on the problem about the periodicit of matrix in the sense of the max-algebra.展开更多
The U1 matrix and extreme U1 matrix were successfully used to study quadratic doubly stochastic operators by R. Ganikhodzhaev and F. Shahidi [Linear Algebra Appl., 2010, 432： 24-35], where a necessary condition for a...The U1 matrix and extreme U1 matrix were successfully used to study quadratic doubly stochastic operators by R. Ganikhodzhaev and F. Shahidi [Linear Algebra Appl., 2010, 432： 24-35], where a necessary condition for a U1 matrix to be extreme was given. S. Yang and C. Xu [Linear Algebra Appl., 2013, 438： 3905-3912] gave a necessary and sufficient condition for a symmetric nonnegative matrix to be an extreme U1 matrix and investigated the structure of extreme U1 matrices. In this paper, we count the number of the permutation equivalence classes of the n × n extreme U1 matrices and characterize the structure of the quadratic stochastic operators and the quadratic doubly stochastic operators.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
文摘This paper obtains a necessary and sufficient condition for an irreducible complex matrix whose comparison matrix is a singular M-matrix to be singular. This is used to establish a necessary and sufficient condition for a boundary point of Brualdi’s inclusion region of the eigenvalues of an irreducible complex matrix to be an eigenvalue.
文摘The block H-matrices are studied by the concept of G-functions, several concepts of block matrices are introduced. Equivalent characters of block H-matrices are obtained. Spectrum localizations characterized by G-functions for block matrices are got.
文摘Point pattern matchingisanimportantproblem inthefieldsofcomputervision and patternrecognition.In this paper,new algorithms based onirreducible matrix andrelativeinvariantfor matchingtwosets ofpoints withthe same cardinality are proposed.Theirfundamentalideaistransformingthetwo dimensionalpointsets with n points intothe vectorsin n dimensional space. Considering these vectors as one dimensional point patterns,these new algorithms aim atreducingthe point matching problem to thatofsorting vectorsin n dimensionalspace aslong asthe sensornoise does notalterthe order ofthe elementsinthe vectors.Theoreticalanalysis and simulationresults show thatthe new algorithms are effective .
基金the National Natural Science Foundation of China (No. 50307007)
文摘Properties of the active power/angle sub-matrix in the power flow Jacobian for power system analysis are studied. The sub-matrix is a dominant and irreducible matrix under very general conditions of power systems, so that it is invertible. Also the necessary conditions for its singularity are given. These theoretical results can be used to clarify the ambiguous understanding of the sub-matrix in current literature, and also provide the theoretical foundations for the applications based on reduced power flow Jaeobian. Numerical simulation on the IEEE 118-bus power system is used to illustrate our results.
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 discuss the contents of paper[l] with the authors,point out that the conclustions in paper[1] about the periodicity of any N ×N square matrix are inappropriate,and make some notes on the problem about the periodicit of matrix in the sense of the max-algebra.
基金Acknowledgements This work was supported in part by the National Natural Science Foundation of China （Grant Nos. 61301296, 61377006, 61201396） and the National Natural Science Foundation of China-Guangdong Joint Found （No. U1201255）.
文摘The U1 matrix and extreme U1 matrix were successfully used to study quadratic doubly stochastic operators by R. Ganikhodzhaev and F. Shahidi [Linear Algebra Appl., 2010, 432： 24-35], where a necessary condition for a U1 matrix to be extreme was given. S. Yang and C. Xu [Linear Algebra Appl., 2013, 438： 3905-3912] gave a necessary and sufficient condition for a symmetric nonnegative matrix to be an extreme U1 matrix and investigated the structure of extreme U1 matrices. In this paper, we count the number of the permutation equivalence classes of the n × n extreme U1 matrices and characterize the structure of the quadratic stochastic operators and the quadratic doubly stochastic operators.
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.
