A Research of All-Derivable Points

Wang, Sufang; Xu, Chao

doi:10.1007/978-3-642-31020-1_58

Sufang Wang¹⁹ &
Chao Xu¹⁹

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7332))

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International Conference in Swarm Intelligence

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Abstract

Search for all-derivable points in the algebra of the second order operator matrices. Using the operations of linear mapping and matrix algebra, and the related results of operator algebra theory, it is shown in this paper that the matrix in which the first row and the first column element is invertible operator and the first row and the second column is the unit operator is an all-derivable point of the second order operator matrix algebra.

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References

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Authors and Affiliations

Department of Mathematics and Physics, Luoyang Institute of Science and Technology, Luoyang, Henan, 471023, China
Sufang Wang & Chao Xu

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Sufang Wang
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Chao Xu
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Editors and Affiliations

Key Laboratory of Machine Perception (MOE), Peking University, Department of Machine Intelligence, School of Electronics Engineering and Computer Science, Peking University, 100871, Beijing, China
Ying Tan
Department of Electrical and Electronic Engineering, Xi’an Jiaotong-Liverpool University, Suzhou, China
Yuhui Shi
Shenzhen City Key Laboratory of Embedded System Design, College of Computer Science and Software Engineering, Shenzhen University, 518060, Shenzhen, China
Zhen Ji

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Wang, S., Xu, C. (2012). A Research of All-Derivable Points. In: Tan, Y., Shi, Y., Ji, Z. (eds) Advances in Swarm Intelligence. ICSI 2012. Lecture Notes in Computer Science, vol 7332. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31020-1_58

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DOI: https://doi.org/10.1007/978-3-642-31020-1_58
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-31019-5
Online ISBN: 978-3-642-31020-1
eBook Packages: Computer ScienceComputer Science (R0)

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