Skip to main content
SpringerLink
Log in

Some new error bounds for linear complementarity problems of H-matrices

  • Original Paper
  • Published:
Numerical Algorithms Aims and scope Submit manuscript

Abstract

Some new error bounds for linear complementarity problems of H-matrices are presented based on the preconditioned technique. Numerical examples show that these bounds are better than some existing ones.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Ahn, B.H.: Iterative methods for linear complementarity problems with upper-bounds on primary variables. Math. Program. 26, 295–315 (1983)

    Article  MATH  Google Scholar 

  2. Berman, A., Plemmons, R.J.: Nonnegative Matrix in the Mathematical Sciences. SIAM Publisher, Philadelphia (1994)

  3. Bai, Z.-Z.: Modulus-based matrix splitting iteration methods for linear complementarity problems. Numer. Linear Algebra Appl. 17, 917–933 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  4. Chen, X.-J., Xiang, S.-H.: Computation of error bounds for P-matrix linear complementarity problems. Math. Program. Ser. A 106, 513–525 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  5. Dong, J.-L., Jiang, M.-Q.: A modified modulus method for symmetric positive-definite linear complementarity problems. Numer. Linear Algebra Appl. 16, 129–143 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  6. Garcia-Esnaola, M., Pena, J.M.: A comparison of error bounds for linear complementarity problems of H-matrices. Linear Algebra Appl. 433, 956–964 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  7. Hu, J.-G.: Estimates of ||B −1 A||∞ and their applications. Math. Numer. Sin. 4(3), 272–282 (1982)

    MATH  Google Scholar 

  8. Li, W.: A general modulus-based matrix splitting method for linear complementarity problems of H-matrices. Appl. Math. Lett. 26, 1159–1164 (2013)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Mathematical Sciences, South China Normal University, Guangzhou, People’s Republic of China

    Wen Li & Hua Zheng

Authors
  1. Wen Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Hua Zheng
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Hua Zheng.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Li, W., Zheng, H. Some new error bounds for linear complementarity problems of H-matrices. Numer Algor 67, 257–269 (2014). https://doi.org/10.1007/s11075-013-9786-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11075-013-9786-8

Keywords

Search

Navigation