{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,5,5]],"date-time":"2024-05-05T02:17:51Z","timestamp":1714875471261},"reference-count":14,"publisher":"Elsevier","isbn-type":[{"value":"9780127082455","type":"print"}],"license":[{"start":{"date-parts":[[1990,1,1]],"date-time":"1990-01-01T00:00:00Z","timestamp":631152000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[1990]]},"DOI":"10.1016\/b978-0-12-708245-5.50013-0","type":"book-chapter","created":{"date-parts":[[2014,7,1]],"date-time":"2014-07-01T05:35:40Z","timestamp":1404192940000},"page":"155-170","source":"Crossref","is-referenced-by-count":4,"title":["The Determination of Guaranteed Bounds to Eigenvalues with the Use of Variational Methods II"],"prefix":"10.1016","author":[{"given":"Henning","family":"Behnke","sequence":"first","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/B978-0-12-708245-5.50013-0_bib1","unstructured":"H. Behnke. Die Bestimmung von Eigenwertschranken mit Hilfe von Variationsmethoden und Intervallarithmetik. Dissertation, Institut f\u00fcr Mathematik, Technische Universit\u00e4t Clausthal, 1989."},{"key":"10.1016\/B978-0-12-708245-5.50013-0_bib2","doi-asserted-by":"crossref","first-page":"95109","DOI":"10.1007\/BF01399088","volume":"27","author":"Bunch","year":"1976","journal-title":"Numer. Math."},{"key":"10.1016\/B978-0-12-708245-5.50013-0_bib3","series-title":"Eigenwertaufgaben mit technischen Anwendungen","author":"Collatz","year":"1963"},{"key":"10.1016\/B978-0-12-708245-5.50013-0_bib4","series-title":"Numerical and Quantitative Analysis","author":"Fichera","year":"1978"},{"key":"10.1016\/B978-0-12-708245-5.50013-0_bib5","first-page":"104","article-title":"Ein Stufenverfahren zur Berechnung von Eigenwertschranken","volume":"Volume 83","author":"Goerisch","year":"1987"},{"key":"10.1016\/B978-0-12-708245-5.50013-0_bib6","doi-asserted-by":"crossref","unstructured":"F. Goerisch and J. Albrecht. The Convergence of a New Method for Calculating Lower Bounds to Eigenvalues. In J. Vosmansk\u00fd and M. Zl\u00e1mal, editors, Lecture Notes in Mathematics, Volume 1192. Equadiff 6, Proceedings of the International Conference on Differential Equations and their Applications held in Brno 1985, pages 303\u2013308, Springer-Verlag: Berlin, Heidelberg, New York, Tokyo, 1986.","DOI":"10.1007\/BFb0076085"},{"key":"10.1016\/B978-0-12-708245-5.50013-0_bib7","unstructured":"F. Goerisch and Z. He. The Determination of Guaranteed Bounds to Eigenvalues with the Use of Variational Methods I. In this volume."},{"key":"10.1016\/B978-0-12-708245-5.50013-0_bib8","series-title":"A Collection of Matrices for Testing Computational Algorithms","author":"Gregory","year":"1969"},{"key":"10.1016\/B978-0-12-708245-5.50013-0_bib9","first-page":"341356","volume":"29","author":"Lehmann","year":"1949","journal-title":"Z. Angew. Math. u. Mech."},{"key":"10.1016\/B978-0-12-708245-5.50013-0_bib10","first-page":"116","volume":"30","author":"Lehmann","year":"1950","journal-title":"Z. Angew. Math. u. Mech."},{"key":"10.1016\/B978-0-12-708245-5.50013-0_bib11","series-title":"The Symmetric Eigenvalue Problem","author":"Parlett","year":"1980"},{"key":"10.1016\/B978-0-12-708245-5.50013-0_bib12","unstructured":"M. Plum. Eigenvalue inclusions for second-order ordinary differential operators by a numerical homotopy method. To appear in Z. Angew. Math. u. Phys."},{"key":"10.1016\/B978-0-12-708245-5.50013-0_bib13","series-title":"Methode der finiten Elemente","author":"Schwarz","year":"1980"},{"key":"10.1016\/B978-0-12-708245-5.50013-0_bib14","unstructured":"S. Zimmermann. \u00dcber die Genauigkeit von Eigenwertschranken f\u00fcr selbstadjungierte Operatoren. Dissertation, Institut f\u00fcr Mathematik, Technische Universit\u00e4t Clausthal, 1989."}],"container-title":["Computer Arithmetic and Self-Validating Numerical Methods"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:B9780127082455500130?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:B9780127082455500130?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,8,12]],"date-time":"2019-08-12T06:12:08Z","timestamp":1565590328000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/B9780127082455500130"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1990]]},"ISBN":["9780127082455"],"references-count":14,"URL":"https:\/\/doi.org\/10.1016\/b978-0-12-708245-5.50013-0","relation":{},"subject":[],"published":{"date-parts":[[1990]]}}}