The Davidson method is extensively used in quantum chemistry and atomic physics for jinding a few extreme eigenpairs of a large, sparse, symmetra"c matrix.It can be viewed as a preconditioned version of the Lanczos method which reduces the number of iterations at the expense of a more complicated step.Frequently, the problem sizes involved demand the use of large multi computers with hundreds or thousands of processors.The difficulties occurra"ng in paralleli.zingthe Davidson step are dealt with and results on a smaller scale machine are reported.The new version improves the parallel characteristics of the Davidson algorithm and holds promise for a large number of processors.Its stability and reliability is similar to that of the original method.

article Free Access Share on An Evaluation of Runge-Kutta Type Methods for Higher Order Differential Equations Author: Charlotte Froese University of British Columbia, Vancouver, Canada and Boeing Airplane Company, Renton, Wash. University of British Columbia, Vancouver, Canada and Boeing Airplane Company, Renton, Wash.View Profile Authors Info & Claims Journal of the ACMVolume 8Issue 4Oct. 1961 pp 637–644https://doi.org/10.1145/321088.321101Online:01 October 1961Publication History 2citation785DownloadsMetricsTotal Citations2Total Downloads785Last 12 Months18Last 6 weeks1 Get Citation AlertsNew Citation Alert added!This alert has been successfully added and will be sent to:You will be notified whenever a record that you have chosen has been cited.To manage your alert preferences, click on the button below.Manage my Alerts New Citation Alert!Please log in to your account Save to BinderSave to BinderCreate a New BinderNameCancelCreateExport CitationPublisher SiteeReaderPDF