Global monotone convergence of Newton iteration for a nonlinear eigen-problem

Linear Algebra and Its Applications

Volumn 357, Issue 1-3, 2002, Pages 217-228

  Choi, Y S ^a   Koltracht, I ^a   McKenna, P J ^a   Savytska, N ^a  

^a UNIVERSITY OF CONNECTICUT   (United States)

Author keywords

Newton algorithm; Stieltjes matrices

Indexed keywords

ITERATIVE METHODS;

EIGEN-PROBLEMS; MONOTONE CONVERGENCE; NEWTON ALGORITHM; NEWTON ITERATIONS; POSITIVE SOLUTION;

PROBLEM SOLVING;

EID: 85015438970     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(02)00383-X     Document Type: Article

References (5)

1. [1] Berman, A., Plemmons, R.J., Nonnegative Matrices in Mathematical Sciences. 1979, Academic Press, New York.
2. [2] Y.-S. Choi, I. Koltracht, P.J. McKenna, in: A Generalization of the Perron–Frobenius Theorem for Non-Linear Perturbations of Stieltjes Matrices, in: Contemporary Mathematics, AMS, Providence, RI, vol. 281, 2001.
3. [3] Dalfovo, F.S., Giorgini, S., Pitaevskii, L.P., Stringari, S., Theory of Bose–Einstein condensation in trapped gasses. Rev. Mod. Phys. 71:3 (1999), 463–512.
4. [4] Lancaster, P., Tismenetsky, M., The Theory of Matrices, Second Edition with Applications. 1985, Academic Press, New York.
5. [5] Ortega, J.M., Rheinboldt, W.C., Iterative Solution of Nonlinear Equations. 1970, Academic Press, New York.