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《Journal of Shaanxi University of Technology(Natural Science Edition)》 2018-05
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Estimation for eigenvalues of matrix by Gerschgorin's circle theorem

YONG Long-quan;School of Mathematics and Computer Science,Shaanxi University of Technology;  
Based on Gerschgorin's circle theorem,the scope for eigenvalues of matrix is given on the complex plane. Combined with the similarity invariance of eigenvalues,all Gerschgorin's circles are isolated through similarity transformation. Thus only one eigenvalue is contained in every isolated Gerschgorin's circle. Meanwhile,in order to accurately estimate the range of eigenvalues,we should reduce the sum of area surrounded by all Gerschgorin's circles as far as possible.
【Fund】: 国家自然科学基金资助项目(11401357);; 陕西省青年科技新星项目(2016KJXX-95);; 陕西省教育厅科学研究计划项目(16JK1150);; 陕西理工大学科研项目(SLGKYQD2-14 SLGYJG1416 SLGYJG1507)
【CateGory Index】: O151.21
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