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Advances in Electronic Commerce, Web Application and Communication pp 253–259Cite as

Obtain Semi-definite Matrix Eigenvalue Based on LANCZOS Algorithm

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Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 148))

Abstract

Orthogonal projection lanczos algorithm is the effective way to solve the complex structural vibration, vibration frequency and vibration mode. Its idea is to translate high-level vibration problem into low-level to solve the vibration problem without losing eigenvalue. In this paper, a simple and convenient method of computing is presented using Orthogonal Projection lanczos algorithm to solve semi-definite matrix generalized eigenvalue problems and re-solve the eigenvalue.

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Authors and Affiliations

  1. Jianghan University School of Physics and Information, Wuhan, China

    Hong Shao

  2. Hubei Water Resources Research Institute, Wuhan, China

    Zhiguo Wang

  3. Yangtze River Scientific Research Institute, Wuhan, China

    Wei Xu

Authors
  1. Hong Shao
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  2. Zhiguo Wang
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  3. Wei Xu
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Corresponding author

Correspondence to Hong Shao .

Editor information

Editors and Affiliations

  1. Researcher Association, Wuhan Section, International Science & Education, Special No.1, Jiangxia Road of Wuhan, Wuhan, China, People's Republic

    David Jin

  2. Researcher Association, Guangzhou Section, International Science & Education, Jinheng Road, Jinbi Garden 85-1102 144, Guang Zhou, China, People's Republic

    Sally Lin

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© 2012 Springer-Verlag GmbH Berlin Heidelberg

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Shao, H., Wang, Z., Xu, W. (2012). Obtain Semi-definite Matrix Eigenvalue Based on LANCZOS Algorithm. In: Jin, D., Lin, S. (eds) Advances in Electronic Commerce, Web Application and Communication. Advances in Intelligent and Soft Computing, vol 148. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28655-1_40

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  • DOI: https://doi.org/10.1007/978-3-642-28655-1_40

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-28654-4

  • Online ISBN: 978-3-642-28655-1

  • eBook Packages: EngineeringEngineering (R0)

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