caa a22 4500 477074553 CHVBK 20180405111436.0 cr unu---uuuuu 170330e19961201xx s 000 0 eng 10.1007/BF02900888 doi (NATIONALLICENCE)springer-10.1007/BF02900888 Parallel region-preserving multisection method for solving generalized eigenproblem [Elektronische Daten] [Lan Zeng, Shuquan Zhou] The parallel multisection method for solving algebraic eigenproblem has been presented in recent years with the developing of the parallel computers but all the research work is limited in standard eigenproblem of symmetric tridiagonal matrix. The multisection method for solving generalized eigenproblem applied significantly in many secience and engineering domains has not been studied. The parallel region-preserving multisection method (PRM for shotr) for solving generalized eigenproblem of large sparse real symmetric matrix is presented in this paper. This method not only retains the advantages of the conventional determinant search method (DS for short), but also overcomes its disadvantages such as leaking roots and disconvergence. We tested the method on the YH-1 vector computer, and compared with the parallel region-preserving determinant search method (parallel region-preserving bisection method) (PRB for short). The numerical results show that PRM has a higher speed-up, for instance it attains the speed-up of 7.7 when the scale of the problem is 2114 and the eigenpair found is 3; and PRM is superior to PRB when scale of the problem is large. Springer, 1996 multisection method nationallicence generalized eigenproblem nationallicence parallel algorithm nationallicence G.1.0 nationallicence G.1.3 nationallicence Zeng Lan Jiangsu Certified Public Accountants, 210005, Nanjing, P. R. China aut Zhou Shuquan College of Science, NUAA, 210016, Nanjing, P. R. China aut Wuhan University Journal of Natural Sciences Wuhan University 1/3-4(1996-12-01), 561-565 1007-1202 1:3-4<561 1996 1 11859 https://doi.org/10.1007/BF02900888 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02900888 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Zeng Lan Jiangsu Certified Public Accountants, 210005, Nanjing, P. R. China aut NATIONALLICENCE 700 1- Zhou Shuquan College of Science, NUAA, 210016, Nanjing, P. R. China aut NATIONALLICENCE 773 0- Wuhan University Journal of Natural Sciences Wuhan University 1/3-4(1996-12-01), 561-565 1007-1202 1:3-4<561 1996 1 11859 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer