caa a22 4500 465751628 CHVBK 20180323111835.0 cr unu---uuuuu 170327e19900901xx s 000 0 eng 10.1007/BF02250639 doi (NATIONALLICENCE)springer-10.1007/BF02250639 Grzegórski S. Institute of Mathematics, Maria Curie-Skłodowska University, PL-20-031, Lublin, Poland aut On the scaled newton method for the symmetric eigenvalue problem [Elektronische Daten] [S. Grzegórski] Zur skalierten Newtonschen Methode für das symmetrische Eigenwertproblem For solving symmetric eigenvalue problems the scaled Newton method is proposed. The new algorithm is equivalent to the Rayleigh quotient iteration and its rate of convergence is cubic. Numerical experiments indicate that the scaled Newton method is very competitive with the projected Newton method, and produces, in the main, insignificantly smaller residua than the Rayleigh quotient iteration. Springer-Verlag, 1990 Symmetric eigenvalue problem nationallicence Newton's method nationallicence cubic convergence nationallicence Computing Springer-Verlag 45/3(1990-09-01), 277-282 0010-485X 45:3<277 1990 45 607 https://doi.org/10.1007/BF02250639 text/html Onlinezugriff via DOI 1 brief-communication jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02250639 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Grzegórski S. Institute of Mathematics, Maria Curie-Skłodowska University, PL-20-031, Lublin, Poland aut NATIONALLICENCE 773 0- Computing Springer-Verlag 45/3(1990-09-01), 277-282 0010-485X 45:3<277 1990 45 607 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer