New method for general Kennaugh＇s pseudoeigenvalue equation in radar polarimetry  

作　　者：Sitao LING Tongsong JIANG 

机构地区：[1]Department of Mathematics,China University of Mining and Technology,Xuzhou 221116,China [2]Department of Mathematics,Linyi University,Linyi 276005,China

出　　处：《Frontiers of Mathematics in China》2012年第1期85-95,共11页中国高等学校学术文摘·数学（英文）

基　　金：Acknowledgements We wish to express our gratitude to the anonymous referees for their helpful comments and suggestions, which improved the presentation of this paper. This work was supported in part by the National Natural Science Foundations of China （Grant Nos. 11171226, 11171343, 11001144） and the Natural Science Foundation of Shandong Province （ZR2010AM014）.

摘　　要：Kennaugh＇s pseudo-eigenvalue equation is a basic equation that plays an extremely important role in radar polarimetry. In this paper, by means of real representation, we first present a necessary and sufficient condition for the general Kennaugh＇s pseudo-eigenvalue equation having a solution, characterize the explicit form of the solution, and then study the solution of Kennaugh＇s pseudo-eigenvalue equation. At last, we propose a new technique for finding the coneigenvalues and coneigenvectors of a complex matrix under appropriate conditions in radar polarimetry.Kennaugh＇s pseudo-eigenvalue equation is a basic equation that plays an extremely important role in radar polarimetry. In this paper, by means of real representation, we first present a necessary and sufficient condition for the general Kennaugh＇s pseudo-eigenvalue equation having a solution, characterize the explicit form of the solution, and then study the solution of Kennaugh＇s pseudo-eigenvalue equation. At last, we propose a new technique for finding the coneigenvalues and coneigenvectors of a complex matrix under appropriate conditions in radar polarimetry.

关 键 词：Kennaugh＇s equation coneigenvalue coneigenvector real represen-tation 

分 类 号：T[一般工业技术]