The Parametrized Newton-Secant Method for Finding an Eigenpair of the Symmetric Quadratic Eigenvalue Problem in an Interval

Authors

  • Karabi Datta Department of Mathematics, Northern Illinois University, USA
  • Yoopyo Hong Department of Mathematics, Northern Illinois University, USA
  • Mohan Thapa Department of Mathematics, University of Wisconsin Milwaukee - Washington County, USA

DOI:

https://doi.org/10.3126/njmathsci.v2i2.40125

Keywords:

Quadratic eigenvalue problem(QEP), Standard eigenvalue problem(SEP), Generalized eigenvalue problem(GEP), Jacobi-Davidson method, Second Order Arnoldi method(SOAR), Lanczos method, Secant slope linear approximation(SSLA), Parametrized Newton-Secant method(PNS).

Abstract

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Published

2021-10-09

How to Cite

Datta, K. ., Hong, Y. ., & Thapa, M. . (2021). The Parametrized Newton-Secant Method for Finding an Eigenpair of the Symmetric Quadratic Eigenvalue Problem in an Interval. Nepal Journal of Mathematical Sciences, 2(2), 67–78. https://doi.org/10.3126/njmathsci.v2i2.40125

Issue

Vol. 2 No. 2 (2021)

Section

Articles

License

© School of Mathematical Sciences, Tribhuvan University