| EIGENVALUES ON THE BOUNDARY OF CERTAIN INCLUSION FOR THE SPECTRUM OF A MATRIX |
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| 作者姓名： | 杨尚骏 张晓东 |
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| 作者单位： | Yang Shang-jun Zhang Xiao-dong Department of Mathematics，Anhui University，Hefei 230039，PRC |
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| 摘 要： | We introduce four types of special eigenvalues which lie on the boundary of certain inclusion regions for the spectrum of a complex square matrix, i.e. , R_r(G_c)-,O(a)-,B_r(B_c)-. and OB(a)- eigenvalues. Then we characterize these eigenvalues and their corresponding eigenvectors for irreducible matrices, Finally we give some new sufficient conditions for an irreducible complex matrix to be nonsingular.
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EIGENVALUES ON THE BOUNDARY OF CERTAIN INCLUSION FOR THE SPECTRUM OF A MATRIX |
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| Yang Shang-jun Zhang Xiao-dong.EIGENVALUES ON THE BOUNDARY OF CERTAIN INCLUSION FOR THE SPECTRUM OF A MATRIX[J].Numerical Mathematics A Journal of Chinese Universities English Series,1998(1). |
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| Authors: | Yang Shang-jun Zhang Xiao-dong |
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| Institution: | Yang Shang-jun Zhang Xiao-dong Department of Mathematics,Anhui University,Hefei 230039,PRC |
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| Abstract: | We introduce four types of special eigenvalues which lie on the boundary of certain inclusion regions for the spectrum of a complex square matrix, i.e. , Rr(Gc)- ,O(a)-,Br(Bc) -. and OB (a)- eigenvalues. Then we characterize these eigenvalues and their corresponding eigenvectors for irreducible matrices. Finally we give some new sufficient conditions for an irreducible complex matrix to be nonsingular. |
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| Keywords: | Gersgorin discs irreducible bipartite |
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