نتایج جستجو برای: eigenvalue approach

تعداد نتایج: 1305259  

2009
Jianke Yang

We present the covering set of the squared eigenfunctions for a degenerate 3×3 eigenvalue problem. The derivation follows the approach recently outlined by Yang and Kaup on this same equation (J. Math. Phys. 50 023504 (2009)). This eigenvalue problem is important since it serves as the spectral problem for the inverse scattering transform (IST) of the vector NLS equation, the Sasa– Satsuma equa...

2010
Robert Hammerling Othmar Koch Christa Simon Ewa B. Weinmüller Ansgar Jüngel René Pinnau Elisa Röhrig Markus Aurada Michael Ebner Michael Feischl Samuel Ferraz-Leite Petra Goldenits Michael Karkulik Markus Mayr Dirk Praetorius Alexander Dick Roswitha März Ewa Weinmüller Mario Bukal Daniel Matthes R. Hammerling O. Koch E. B. Weinmüller

We put forward a new method for the solution of eigenvalue problems for (systems of) ordinary differential equations, where our main focus is on eigenvalue problems for singular Schrödinger equations arising, for example, in electronic structure computations. Here, the generation of the starting values for the computation of eigenvalues of higher index is a critical issue. Our approach comprise...

Journal: :Numerical Lin. Alg. with Applic. 1997
Yu-Ling Lai Kun-Yi Lin Wen-Wei Lin

In this paper, we propose an inexact inverse iteration method for the computation of the eigenvalue with the smallest modulus and its associated eigenvector for a large sparse matrix. The linear systems of the traditional inverse iteration are solved with accuracy that depends on the eigenvalue with the second smallest modulus and iteration numbers. We prove that this approach preserves the lin...

COX-2 inhibitory activities of some 1,4-dihydropyridine and 5-oxo-1,4,5,6,7,8-hexahydroquinoline derivatives were modeled by quantitative structure–activity relationship (QSAR) using stepwise-multiple linear regression (SW-MLR) method. The built model was robust and predictive with correlation coefficient (R2) of 0.972 and 0.531 for training and test groups, respectively. The quality of the mod...

Journal: :Journal of Integral Equations and Applications 2005

Journal: :J. Global Optimization 2016
Yisheng Song Liqun Qi

In this paper, the concepts of Pareto H -eigenvalue and Pareto Z -eigenvalue are introduced for studying constrained minimization problem and the necessary and sufficient conditions of such eigenvalues are given. It is proved that a symmetric tensor has at least one Pareto H -eigenvalue (Pareto Z -eigenvalue). Furthermore, theminimumPareto H -eigenvalue (or Pareto Z -eigenvalue) of a symmetric ...

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