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Volumn 222, Issue 2, 2008, Pages 645-654

Improved Newton's method with exact line searches to solve quadratic matrix equation

Author keywords

Exact line search; Newton's method; Quadratic matrix equation; S amanskii technique; Solvent

Indexed keywords

NEWTON-RAPHSON METHOD;

EID: 53449092165     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2007.12.018     Document Type: Article
Times cited : (30)

References (14)
  • 1
    • 0001693314 scopus 로고
    • Numerical solution of a quadratic matrix equation
    • Davis G.J. Numerical solution of a quadratic matrix equation. SIAM J. Sci. State. Comput. 2 (1981) 164-175
    • (1981) SIAM J. Sci. State. Comput. , vol.2 , pp. 164-175
    • Davis, G.J.1
  • 3
    • 0002024847 scopus 로고
    • On the Fréchet derivative of matrix functions
    • Stickel E. On the Fréchet derivative of matrix functions. Linear Algebra Appl. 91 (1987) 83-88
    • (1987) Linear Algebra Appl. , vol.91 , pp. 83-88
    • Stickel, E.1
  • 4
    • 0000620484 scopus 로고
    • Numerical solution of matrix polynomial equations by Newton's methods
    • Kratz W., and Stickel E. Numerical solution of matrix polynomial equations by Newton's methods. IMA J. Numer. Anal. 7 (1987) 355-369
    • (1987) IMA J. Numer. Anal. , vol.7 , pp. 355-369
    • Kratz, W.1    Stickel, E.2
  • 5
    • 0036057562 scopus 로고    scopus 로고
    • Solving a quadratic matrix equation by Newton's method with exact line searches
    • Higham N.J., and Kim H.M. Solving a quadratic matrix equation by Newton's method with exact line searches. SIAM J. Matrix Anal. Appl. 23 (2001) 303-316
    • (2001) SIAM J. Matrix Anal. Appl. , vol.23 , pp. 303-316
    • Higham, N.J.1    Kim, H.M.2
  • 6
    • 0034288884 scopus 로고    scopus 로고
    • Numerical analysis of a quadratic matrix equation
    • Higham N.J., and Kim H.M. Numerical analysis of a quadratic matrix equation. IMA J. Numer. Anal. 20 (2000) 499-519
    • (2000) IMA J. Numer. Anal. , vol.20 , pp. 499-519
    • Higham, N.J.1    Kim, H.M.2
  • 11
    • 0000323205 scopus 로고
    • On a modification of the Newton method
    • (in Russian)
    • S ̌amanskii V. On a modification of the Newton method. Uhrain Mat. Z. 19 (1967) 133-138 (in Russian)
    • (1967) Uhrain Mat. Z. , vol.19 , pp. 133-138
    • S ̌amanskii, V.1
  • 12
    • 0035359418 scopus 로고    scopus 로고
    • The quadratic eigenvalue problem
    • Tisseur F., and Meerbergen K. The quadratic eigenvalue problem. SIAM Rev. 43 (2001) 235-286
    • (2001) SIAM Rev. , vol.43 , pp. 235-286
    • Tisseur, F.1    Meerbergen, K.2
  • 14
    • 53449084276 scopus 로고    scopus 로고
    • H.M. Kim, Numerical methods for solving a quadratic matrix equation, Ph.D. Thesis, Manchester University, 2000
    • H.M. Kim, Numerical methods for solving a quadratic matrix equation, Ph.D. Thesis, Manchester University, 2000


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.