Nonsingularity of the combinations of two orthogonal projectors |
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| Authors: | Kezheng Zuo Tao Xie |
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| Institution: | School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, Hubei, China |
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| Abstract: | The invertibility of combinations of two orthogonal projectors a
P + b
Q + c
PQ + d
QP is researched by using the CS-decomposition of matrices and properties of orthogonal projectors. The Moore-Penrose inverse
of the combinations is presented under some special conditions. |
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| Keywords: | combinations of two orthogonal projectors CS- decomposition principal angles |
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