{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,5]],"date-time":"2025-12-05T11:54:00Z","timestamp":1764935640550,"version":"3.41.0"},"reference-count":14,"publisher":"Association for Computing Machinery (ACM)","issue":"2","license":[{"start":{"date-parts":[[2005,6,1]],"date-time":"2005-06-01T00:00:00Z","timestamp":1117584000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":["ACM Trans. Math. Softw."],"published-print":{"date-parts":[[2005,6]]},"abstract":"<jats:p>\n            eigifp is a MATLAB program for computing a few extreme eigenvalues and eigenvectors of the large symmetric generalized eigenvalue problem\n            <jats:italic>Ax<\/jats:italic>\n            = \u03bb\n            <jats:italic>Bx<\/jats:italic>\n            . It is a black-box implementation of an inverse free preconditioned Krylov subspace projection method developed by Golub and Ye [2002]. It has important features that allow it to solve some difficult problems without any input from users. It is particularly suitable for problems where preconditioning by the standard shift-and-invert transformation is not feasible.\n          <\/jats:p>","DOI":"10.1145\/1067967.1067973","type":"journal-article","created":{"date-parts":[[2005,8,3]],"date-time":"2005-08-03T08:30:55Z","timestamp":1123057855000},"page":"270-279","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":22,"title":["Algorithm 845"],"prefix":"10.1145","volume":"31","author":[{"given":"James H.","family":"Money","sequence":"first","affiliation":[{"name":"University of Kentucky, Lexington, KY"}]},{"given":"Qiang","family":"Ye","sequence":"additional","affiliation":[{"name":"University of Kentucky, Lexington, KY"}]}],"member":"320","published-online":{"date-parts":[[2005,6]]},"reference":[{"key":"e_1_2_2_1_1","doi-asserted-by":"publisher","DOI":"10.1145\/838250.838257"},{"key":"e_1_2_2_2_1","doi-asserted-by":"crossref","unstructured":"Bai Z. Demmel J. Dongarra J. Ruhe A. and van der Vorst H. 2000. Templates for the solution of Algebraic Eigenvalue Problems: A Practical Guide. SIAM Philadelphia.   Bai Z. Demmel J. Dongarra J. Ruhe A. and van der Vorst H. 2000. Templates for the solution of Algebraic Eigenvalue Problems: A Practical Guide. SIAM Philadelphia.","DOI":"10.1137\/1.9780898719581"},{"key":"e_1_2_2_3_1","doi-asserted-by":"publisher","DOI":"10.1145\/62038.62043"},{"key":"e_1_2_2_4_1","doi-asserted-by":"publisher","DOI":"10.1137\/S1064827596300073"},{"key":"e_1_2_2_5_1","unstructured":"Golub G. and Van Loan C. 1983. Matrix Computations. The Johns Hopkins University Press Baltimore.  Golub G. and Van Loan C. 1983. Matrix Computations. The Johns Hopkins University Press Baltimore."},{"key":"e_1_2_2_6_1","doi-asserted-by":"publisher","DOI":"10.1137\/S1064827500382579"},{"key":"e_1_2_2_7_1","first-page":"371","article-title":"Convergence rate estimates for iterative methods for a mesh symmetric eigenvalue problem Soviet J","volume":"2","author":"Knyazev A.","year":"1987","journal-title":"Numer. Anal. Math. Modelling"},{"key":"e_1_2_2_8_1","first-page":"104","article-title":"Preconditioned eigensolvers---an oxymoron","volume":"7","author":"Knyazev A.","year":"1998","journal-title":"Electronic Trans. Numer. Anal."},{"key":"e_1_2_2_9_1","doi-asserted-by":"publisher","DOI":"10.1137\/S1064827500366124"},{"key":"e_1_2_2_10_1","doi-asserted-by":"crossref","unstructured":"Lehoucq R. Sorenson D. and Yang C. 1998. ARPACK Users' Guides Solution of Large Scale Eigenvalue Problems with Implicitly Restarted Arnoldi Method. SIAM Philadelphia.  Lehoucq R. Sorenson D. and Yang C. 1998. ARPACK Users' Guides Solution of Large Scale Eigenvalue Problems with Implicitly Restarted Arnoldi Method. SIAM Philadelphia.","DOI":"10.1137\/1.9780898719628"},{"key":"e_1_2_2_11_1","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1002\/nla.246","article-title":"Combination of Jacobi-Davidson and conjugate gradient for the partial symmetric eigenproblem","volume":"9","author":"Notay Y.","year":"2002","journal-title":"Numer. Linear Alg. Appl."},{"key":"e_1_2_2_12_1","unstructured":"Parlett B. 1980. The Symmetric Eigenvalue Problem. Prentice-Hall Englewood Cliffs N.J.   Parlett B. 1980. The Symmetric Eigenvalue Problem. Prentice-Hall Englewood Cliffs N.J."},{"key":"e_1_2_2_13_1","unstructured":"Saad Y. 1992. Numerical Methods for Large Eigenvalue Problems. Manchester University Press Manchester UK.  Saad Y. 1992. Numerical Methods for Large Eigenvalue Problems. Manchester University Press Manchester UK."},{"key":"e_1_2_2_14_1","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479894270427"}],"container-title":["ACM Transactions on Mathematical Software"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1067967.1067973","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/1067967.1067973","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T16:31:39Z","timestamp":1750264299000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1067967.1067973"}},"subtitle":["EIGIFP: a MATLAB program for solving large symmetric generalized eigenvalue problems"],"short-title":[],"issued":{"date-parts":[[2005,6]]},"references-count":14,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2005,6]]}},"alternative-id":["10.1145\/1067967.1067973"],"URL":"https:\/\/doi.org\/10.1145\/1067967.1067973","relation":{},"ISSN":["0098-3500","1557-7295"],"issn-type":[{"type":"print","value":"0098-3500"},{"type":"electronic","value":"1557-7295"}],"subject":[],"published":{"date-parts":[[2005,6]]},"assertion":[{"value":"2005-06-01","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}