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Nonsingularity of the Combinations of Two Orthogonal Projectors 被引量：3

Nonsingularity of the Combinations of Two Orthogonal Projectors
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摘要 The invertibility of combinations of two orthogonal projectors aP ＋ bQ - cPQ - dQP is researched by using the CSdecomposition of matrices and properties of orthogonal projectors. The Moore-enrose inverse of the combinations is presented under some special conditions. The invertibility of combinations of two orthogonal projectors aP ＋ bQ - cPQ - dQP is researched by using the CSdecomposition of matrices and properties of orthogonal projectors. The Moore-enrose inverse of the combinations is presented under some special conditions.
作者 ZUO Kezheng XIE Tao
机构地区 School of Mathematics and Statistics
出处 《Wuhan University Journal of Natural Sciences》 CAS 2012年第1期7-11,共5页 武汉大学学报（自然科学英文版）
基金 Supported by the Hubei Normal University Research Grant (2008D54)
关键词 combinations of two orthogonal projectors CS- decomposition principal angles combinations of two orthogonal projectors CS- decomposition principal angles
分类号 O151.2 [理学—基础数学]
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参考文献13

  • 1GroβJ, Trenkler G. Nonsingularity of the difference of two oblique projectors[J]. SIAM J Matrix Anal Appl, 1999, 21(2): 390-395.
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Wuhan University Journal of Natural Sciences
2012年 第1期

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