ABSTRACT
Examples 2.1. The direct power method 2.2. The inverse power method 2.3. The shifted direct power method for opposite extreme eigenvalues 2.4. The shifted inverse power method for intermediate eigenvalues 2.5. The shifted inverse power method for accelerating convergence 2.6. The direct method for a linear eigenproblem 2.7. The direct method for a nonlinear eigenproblem 2.8. The basic QR method 2.9. Eigenvectors
2.1 INTRODUCTION Consider the dynamic mechanical spring-mass system illustrated in Figure 2.1. Applying Newton's second law of motion, L F = mx, to each individual mass gives
(2.1a) (2.1 b) (2.1 c)
"'(",-x,)fl: ",(x,-x,] Figure 2.1 Dynamic mechanical spring-mass system.
