Improved Lanczos Method for the Eigenvalue Analysis of Structures

구조물의 고유치 해석을 위한 개선된 Lanczos 방법

  • 김병완 (한국가학기술원 건설 환경공학과) ;
  • 김운학 (국립한경대학교 토목공학과) ;
  • 이인원 (한국가학기술원 건설 환경공학과)
  • Published : 2002.04.01


This paper investigates the applicability of the modified Lanczos method using the power technique, which was developed in the field of quantum physics, to the eigenproblem in the field of engineering mechanics by introducing matrix-powered Lanczos recursion and numerically evaluating the suitable power value. The matrix-powered Lanczos method has better convergence and less operation count than the conventional Lanczos method. By analyzing four numerical examples, the effectiveness of the matrix-powered Lanczos method is verified and the appropriate matrix power is also recommended.