Numerical approximation on computing partial sum of nonlinear Schrödinger eigenvalue problems

Communications in Nonlinear Science and Numerical Simulation

Volumn 6, Issue 2, 2001, Pages 74-80

  Sun, Jiachang ^a   Wang, Dingsheng ^b   Jiang, Murong ^a,c   Yang, Zhijie ^a  

^a INSTITUTE OF SOFTWARE   (China)

^b INSTITUTE OF PHYSICS   (China)

^c YUNNAN UNIVERSITY   (China)

Author keywords

Approximating algorithm; Nonlinear eigenvalue problems; Partial sum; Trace

Indexed keywords

COMPUTATIONAL COMPLEXITY; EIGENVALUES AND EIGENFUNCTIONS; ELECTRONIC STRUCTURE; NONLINEAR EQUATIONS;

ENERGY BAND; FUNCTIONAL MINIMIZATION; MULTIPARTICLES; RAYLEIGH-SCHRÖDINGER METHOD;

APPROXIMATION THEORY;

MATHEMATICAL ANALYSIS;

EID: 16844375749     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1007-5704(01)90005-X     Document Type: Article

References (5)

1. Sun, J. C., Parallel algorithm for generalized matrix eigen-problem and its application in calculation of crystal electronic structure, Chinese Sci. Bull., 1997, 42: 818-821
2. Bai, Z. et al., Computing partial eigenvalue sum in electronic calculation, Research Report, Univ. of Kentucky, Kentucky, 1997
3. Sun, J. C., Density functional approach for computing partial eigenvalue sum instead of selfconsistency approach, RDCPS Ann. Rep., Institute of Software, Beijing, 1999: 1-4
4. Jiang, M. R. and Sun, J. C., Minimization and error estimates for a class of nonlinear Schrödinger eigenvalue problems, Commun. Nonlinear Sci. Numer. Simul., 2000, 5(2): 80-83
5. Papanicolaou, V. G., Trace formulas and the behaviour of large eigenvalues, SIAM J. Math. Anal., 1995, 26: 218-237