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Global Convergence Of Shortest-Residual Family Of Conjugate Gradient Methods Without Line Search

Author

Listed:
  • XIA LI

    (Department of Applied Mathematics, Tongji University, China)

  • XIONGDA CHEN

    (Department of Applied Mathematics, Tongji University, China)

Abstract

The shortest-residual family of conjugate gradient methods was first proposed by Hestenes and was studied by Pytlak, and Dai and Yuan. Recently, a no-line-search scheme in conjugate gradient methods was given by Sun and Zhang, and Chen and Sun. In this paper, we show the global convergence of two shortest-residual conjugate gradient methods (FRSR and PRPSR) without line search. In addition, computational results are presented to show that the methods with line search have similar numerical behavior to the methods without line search.

Suggested Citation

  • Xia Li & Xiongda Chen, 2005. "Global Convergence Of Shortest-Residual Family Of Conjugate Gradient Methods Without Line Search," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 22(04), pages 529-538.
    • Handle: RePEc:wsi:apjorx:v:22:y:2005:i:04:n:s0217595905000716
    DOI: 10.1142/S0217595905000716
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