Michael Oettli. The Homotopy Method Applied to the Symmetric Eigenproblem. PhD thesis, Swiss Federal Institute of Technology Zurich, Zurich, Switzerland, 1995.  Home/Search   Document Details and Download   Summary   Related Articles

....problems. One of the main uses of the correction equation is to improve the accuracy of computed eigenpairs. Numerous variations of the correction equation have been studied for this purpose in [34, 35, 36] Newton method is also often used as a part of the Homotopy method for eigenvalue problems [2, 3, 89]. In this case the Newton method used is very close to what is proposed in [98] The Jacobi Davidson method is regarded as a form of Newton s method in the space perpendicular to x [38, 126] Due to this unique construction, it avoids some of the pitfalls of the original Davidson preconditioning ....

....EX2. The results is shown in table 3.2. Note that in this case, RQI converges to an eigenvalue within the large cluster around zero. 3.2. 2 Augmented Newton method One way of formulating the eigenvalue problem is to express it as finding a zero residual with ( x) pair as the independent variable [47, 89, 98]. This formulation can be described as seeking a solution to the following quadratic equation ae (A Gamma I)x = 0; Gamma 1 2 x T x 1 2 = 0: 3.10) The original form of this Newton method is presented in [98] Many researchers have noticed the scaling scheme in this paper was not ....

Michael Oettli. The Homotopy Method Applied to the Symmetric Eigenproblem. PhD thesis, Swiss Federal Institute of Technology Zurich, Zurich, Switzerland, 1995.

Online articles have much greater impact   More about CiteSeer.IST   Add search form to your site   Submit documents   Feedback  

CiteSeer.IST - Copyright Penn State and NEC