{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,2]],"date-time":"2022-04-02T00:35:24Z","timestamp":1648859724014},"reference-count":19,"publisher":"World Scientific Pub Co Pte Lt","issue":"06","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Theor. Comput. Chem."],"published-print":{"date-parts":[[2008,12]]},"abstract":"<jats:p> An energy-dependent partitioning scheme is explored for extracting a small number of eigenvalues of a real symmetric matrix with the help of a serial as well as parallel genetic algorithm (GA). The proposed method is tested on two matrices (up to 2000 \u00d7 2000) with an increasing number of processors in a master\u2013slave architecture. A comparison is made with the Jacobi\u2013Davidson method in serial mode as implemented in the JDQZ-package. Different partition sizes are used. Traditionally used L\u00f6wdin's method is also tested in both serial and parallel modes. The advantages and disadvantages of the parallel GA-based method in solving the partitioned eigenvalue problem are analyzed. <\/jats:p>","DOI":"10.1142\/s0219633608004428","type":"journal-article","created":{"date-parts":[[2009,1,15]],"date-time":"2009-01-15T10:06:59Z","timestamp":1232014019000},"page":"1103-1120","source":"Crossref","is-referenced-by-count":0,"title":["ON SOLVING ENERGY-DEPENDENT PARTITIONED REAL SYMMETRIC MATRIX EIGENVALUE PROBLEM BY A PARALLEL GENETIC ALGORITHM"],"prefix":"10.1142","volume":"07","author":[{"given":"RAHUL","family":"SHARMA","sequence":"first","affiliation":[{"name":"Department of Physical Chemistry, Indian Association for the Cultivation of Science, Jadavpur, Calcutta 700 032, India"}]},{"given":"SUBHAJIT","family":"NANDY","sequence":"additional","affiliation":[{"name":"Department of Physical Chemistry, Indian Association for the Cultivation of Science, Jadavpur, Calcutta 700 032, India"}]},{"given":"S. P.","family":"BHATTACHARYYA","sequence":"additional","affiliation":[{"name":"Department of Physical Chemistry, Indian Association for the Cultivation of Science, Jadavpur, Calcutta 700 032, India"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"reference":[{"key":"rf1","volume-title":"The Algebraic Eigenvalue Problem","author":"Wilkinson J. H.","year":"1965"},{"key":"rf2","volume-title":"The Symmetric Eigenvalue Problem","author":"Parlett B. N.","year":"1981"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1016\/0021-9991(89)90200-3"},{"key":"rf4","volume-title":"Adaptation in Natural and Artificial Systems","author":"Holland J. H.","year":"1975"},{"key":"rf5","volume-title":"Genetic Algorithms in Search, Optimisation and Machine Learning","author":"Goldberg D. E.","year":"1989"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1002\/qua.995"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1007\/BF02708279"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1063\/1.1748067"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1002\/qua.560020612"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1016\/0301-0104(75)80060-7"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1021\/ar00088a004"},{"key":"rf12","volume":"36","author":"Killingbeck J. P.","journal-title":"J. Phys. A"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1016\/0021-9991(77)90071-7"},{"key":"rf14","first-page":"311","volume":"43","author":"Nesbet R. K.","journal-title":"J. Comput. Phys."},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1063\/1.1749252"},{"key":"rf16","volume-title":"Microcomputer Algorithms","author":"Killingbeck J. P.","year":"1991"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1016\/0021-9991(75)90065-0"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1002\/jcc.10027"},{"key":"rf20","doi-asserted-by":"publisher","DOI":"10.1162\/evco.1999.7.4.429"}],"container-title":["Journal of Theoretical and Computational Chemistry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219633608004428","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T15:32:33Z","timestamp":1565105553000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219633608004428"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,12]]},"references-count":19,"journal-issue":{"issue":"06","published-online":{"date-parts":[[2011,11,21]]},"published-print":{"date-parts":[[2008,12]]}},"alternative-id":["10.1142\/S0219633608004428"],"URL":"https:\/\/doi.org\/10.1142\/s0219633608004428","relation":{},"ISSN":["0219-6336","1793-6888"],"issn-type":[{"value":"0219-6336","type":"print"},{"value":"1793-6888","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,12]]}}}