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On the Properties of Cheng Projection

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Abstract

This paper mainly investigates some properties of Cheng projection, which was proposed recently by Prof. Cheng to reduce the dimension of vector. As a linear transformation from the original vector space to the target vector space, the matrix representation of Cheng projection is given. Then, the structure matrix of Cheng projection, called the Cheng projection matrix, is obtained. Algebraic properties of Cheng projection are derived via its projection matrix. Furthermore, the product and norm of Cheng projection matrices are concerned.

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Authors and Affiliations

  1. School of Mathematics, Shandong University, Jinan, 250100, China

    Jun-e Feng, Qingle Zhang & Yiliang Li

Authors
  1. Jun-e Feng
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  2. Qingle Zhang
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  3. Yiliang Li
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Corresponding author

Correspondence to Jun-e Feng.

Additional information

This paper was supported by the National Natural Science Foundation of China under Grant Nos. 61773371, 61877036, and the Natural Science Fund of Shandong Province under Grant No. ZR2019MF002.

This paper was recommended for publication by Editor SUN Jian.

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Cite this article

Feng, Je., Zhang, Q. & Li, Y. On the Properties of Cheng Projection. J Syst Sci Complex 34, 1471–1486 (2021). https://doi.org/10.1007/s11424-021-9254-9

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  • DOI: https://doi.org/10.1007/s11424-021-9254-9

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