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A Block Lanczos Method for Computing the Singular Values and Corresponding Singular Vectors of a Matrix

, , und . ACM Trans. Math. Softw. 7 (2): 149--169 (1981)

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Issue 2 &nbsp;(June 1981)</span> <a href="toc.cfm?id=355945&type=issue&coll=GUIDE&dl=GUIDE&CFID=46721426&CFTOKEN=31610041" target="_self" class="small-link-text">table of contents</a><br> <span class="small-text"> </span> <div class="medium-text"> </div> <div class="small-text"> Pages: 149 - 169&nbsp;&nbsp; </div> <div class="small-text"> Year of Publication:&nbsp;1981 </div> <div class="small-text"> ISSN:0098-3500 </div> </td> </tr> <tr valign="top"> <td class="small-text"> <strong>Authors</strong> </td> <td colspan="2"> <div class=äuthors"> <table cellpadding="0" cellspacing="0"> <tr> <td class="small-text"> <a href=äuthor_page.cfm?id=81332501126&coll=GUIDE&dl=GUIDE&trk=0&CFID=46721426&CFTOKEN=31610041" target="_self">Gene H. Golub</a> </td> <td class="small-text"> <small>&nbsp;Department of Computer Science, Cornell University, Ithaca, NY</small> </td> </tr> <tr> <td class="small-text"> <a href=äuthor_page.cfm?id=81100307341&coll=GUIDE&dl=GUIDE&trk=0&CFID=46721426&CFTOKEN=31610041" target="_self">Franklin T. Luk</a> </td> <td class="small-text"> <small>&nbsp;Department of Computer Science, Cornell University, Ithaca, NY</small> </td> </tr> <tr> <td class="small-text"> <a href=äuthor_page.cfm?id=81100392276&coll=GUIDE&dl=GUIDE&trk=0&CFID=46721426&CFTOKEN=31610041" target="_self">Michael L. Overton</a> </td> <td class="small-text"> <small>&nbsp;Courant Institute of Mathematical Sciences, New York University, New York</small> </td> </tr> </table> </div> </td> </tr> <tr valign="top"> <td class="small-text"><strong>Publisher</strong></td> <td colspan="2"> <div class="publishers"> <a href="http://www.acm.org/publications" target="publisher" title="Publisher"> ACM</a>&nbsp; <small>New York, NY, USA</small> </div> </td> </tr> <tr valign="top"> <td class="small-text"><strong>Bibliometrics</strong></td> <td colspan="2"> <div class="publishers"> Downloads (6 Weeks): 11,&nbsp;&nbsp; Downloads (12 Months): 80,&nbsp;&nbsp; Citation Count: 2 </div> </td> </tr> </table> </td> </tr> <tr> <td> <!-- third main table: main content START --> <table border="0" width="100%" cellspacing="0" cellpadding="0"> <tr> <td height="6"><img src="http://portal.acm.org/images/blanks.gif" width=1 height=1 alt="" border="0"></td> </tr> <tr> <td colspan="4" valign="top" height="1" background="http://portal.acm.org/images/horiz-bar-long.jpg"></td> </tr> <tr> <td height="6"><img src="http://portal.acm.org/images/blanks.gif" width=1 height=1 alt="" border="0"></td> </tr> <tr valign="top"> <!-- buttons --> <td width="100%" colspan="4"> <table border="0" cellspacing="0" cellpadding="0" width="100%"> <col width="22%"> <col width="78%"> <tr> <td class="small-text"><b>Additional Information:</b></td> <td> <p class="small-text"> <a href="citation.cfm?id=355945.355946#references">references</a>&nbsp;&nbsp; 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</div> </td> </tr> <tr> <td height="10"><img src="http://portal.acm.org/images/blanks.gif" width=1 height=1 alt="" border="0"></td> </tr> <tr valign="top"> <td class="small-text"><b>DOI Bookmark:</b></td> <td class="small-text"> <small>Use this link to bookmark this Article:&nbsp;</small><a href="http://doi.acm.org/10.1145/355945.355946">http://doi.acm.org/10.1145/355945.355946</a><br><small><a href="http://www.doi.org/">What is a DOI?</a></small> </td> </tr> </table> </td> </form> </tr> <tr> <td height="6"><img src="http://portal.acm.org/images/blanks.gif" width=1 height=1 alt="" border="0"></td> </tr> <tr> <td colspan="4" valign="top" height="1" background="http://portal.acm.org/images/horiz-bar-long.jpg"></td> </tr> <tr> <td height="6"><img src="http://portal.acm.org/images/blanks.gif" width=1 height=1 alt="" border="0"></td> </tr> </table> <!-- third main table: main content END --> <div class=äbstract"> </div> <div class=äbstract"> </div> <br> <div class=äbstract"> <A HREF="citation.cfm?id=355945.355946#CIT"><img name="top" src="http://portal.acm.org/images/arrowu.gif" hspace="10" border="0"></A><SPAN class=heading><A NAME="references">REFERENCES</A></span> <table border="0" cellpadding="5"> <tr valign="top"> <td valign="top"> &nbsp;</td> <td> <div class=äbstract"> 1 </div> </td> <td> <div class=äbstract"> CULLUM, J. The simultaneous computation of a few algebraically largest and smallest elgenvalues of a large, sparse, symmetric matrix. Rep. RC 6827, IBM Thomas J. Watson Research Center, Yorktown Heights, NY, 1977. </div> </td> </tr> <tr valign="top"> <td valign="top"> &nbsp;</td> <td> <div class=äbstract"> 2 </div> </td> <td> <div class=äbstract"> CULLUM, J., AND DONATH, W.E. A block Lanczos algorithm for computing the q algebraically largest eigenvalues and a corresponding eigenspace of large, sparse, real symmetric matmces. In Proc. 1974 IEEE Conf on Decas~on and Control, Phoenix, Ariz., 1974, pp. 505-509. </div> </td> </tr> <tr valign="top"> <td valign="top"> &nbsp;</td> <td> <div class=äbstract"> 3 </div> </td> <td> <div class=äbstract"> CULLUM, J., AND WILLOUGHBY, R.A. Computing singular values and corresponding singular vectors of large matrices by Lanczos tridiagonalization. Rep. RC 8200, IBM Thomas J. Watson Research Center, Yorktown Heights, NY, 1980. </div> </td> </tr> <tr valign="top"> <td valign="top"> &nbsp;</td> <td> <div class=äbstract"> 4 </div> </td> <td> <div class=äbstract"> GENTLEMAN, W.M. Least squares computations by Givens transformations w~thout square roots. JIMA 12 (1973), 329-336. </div> </td> </tr> <tr valign="top"> <td valign="top"> &nbsp;</td> <td> <div class=äbstract"> 5 </div> </td> <td> <div class=äbstract"> GOLUB, G H, AND KAHAN, W Calculating the singular values and pseudo-inverse of a matrix. SIAM J. Numer Anal. 2 (1965), 205-224. </div> </td> </tr> <tr valign="top"> <td valign="top"> &nbsp;</td> <td> <div class=äbstract"> 6 </div> </td> <td> <div class=äbstract"> GOLUB, G.H., AND LUK, F T. Singular value decomposition: Apphcations and computations. ARO Rep. 77-1, in Trans. 22nd Conf. of Army Mathematw~ans, 1977, pp. 577-605. </div> </td> </tr> <tr valign="top"> <td valign="top"> &nbsp;</td> <td> <div class=äbstract"> 7 </div> </td> <td> <div class=äbstract"> <a href="citation.cfm?id=892156&dl=GUIDE&coll=GUIDE&CFID=46721426&CFTOKEN=31610041"> Gene H. Golub , Franklin T. Luk , Michael L. Overton, A block Lanczos method to compute the singular values and corresponding singular vectors of a matrix, Stanford University, Stanford, CA, 1977 </a> </div> </td> </tr> <tr valign="top"> <td valign="top"> &nbsp;</td> <td> <div class=äbstract"> 8 </div> </td> <td> <div class=äbstract"> GOLUB, G.H., AND REINSCH, C Singular value decomposition and least squares solutions. Numer. Math. 14 (1970), 403-420. </div> </td> </tr> <tr valign="top"> <td valign="top"> &nbsp;</td> <td> <div class=äbstract"> 9 </div> </td> <td> <div class=äbstract"> GOLUB, G H., AND UNDERWOOD, R. The block Lanczos method for computing elgenvalues. In Mathematical Software III, J.R. Rice (Ed.), Academic Press, New York, 1977, pp. 361-377. </div> </td> </tr> <tr valign="top"> <td valign="top"> &nbsp;</td> <td> <div class=äbstract"> 10 </div> </td> <td> <div class=äbstract"> LANCZOS, C L~near D~fferential Operators Van Nostrand, London, 1961. </div> </td> </tr> <tr valign="top"> <td valign="top"> &nbsp;</td> <td> <div class=äbstract"> 11 </div> </td> <td> <div class=äbstract"> <a href="citation.cfm?id=908396&dl=GUIDE&coll=GUIDE&CFID=46721426&CFTOKEN=31610041"> John Gregg Lewis, Algorithms for sparse matrix eigenvalue problems., 1977 </a> </div> </td> </tr> <tr valign="top"> <td valign="top"> &nbsp;</td> <td> <div class=äbstract"> 12 </div> </td> <td> <div class=äbstract"> ORTEGA, J.M. Numerical Analys~s: A Second Course Academic Press, New York, 1972. </div> </td> </tr> <tr valign="top"> <td valign="top"> &nbsp;</td> <td> <div class=äbstract"> 13 </div> </td> <td> <div class=äbstract"> PAIGE, C.C Bidiagonahzation of matrices and solution of hnear equations. SIAM J. Numer. Anal. 11 (1974), 197-209. </div> </td> </tr> <tr valign="top"> <td valign="top"> &nbsp;</td> <td> <div class=äbstract"> 14 </div> </td> <td> <div class=äbstract"> <a href="citation.cfm?id=907375&dl=GUIDE&coll=GUIDE&CFID=46721426&CFTOKEN=31610041"> John Franklin Palmer, II, Conjugate-direction methods and parallel-computing., 1974 </a> </div> </td> </tr> <tr valign="top"> <td valign="top"> &nbsp;</td> <td> <div class=äbstract"> 15 </div> </td> <td> <div class=äbstract"> RUHE, A. Implementation aspects of band Lanczos algorithms for computation of elgenvalues of large sparse symmetric matrices Rep., Dep of Mathematics, Umv. California, San Diego, Feb. 1978. </div> </td> </tr> <tr valign="top"> <td valign="top"> &nbsp;</td> <td> <div class=äbstract"> 16 </div> </td> <td> <div class=äbstract"> RUTISHAUSER, H. On Jacobi rotation patterns. In Proc. Syrup. Applled Math, vol. 15, 1963, pp. 219-239. </div> </td> </tr> <tr valign="top"> <td valign="top"> &nbsp;</td> <td> <div class=äbstract"> 17 </div> </td> <td> <div class=äbstract"> STEWART, G W. Error and perturbation bounds for subspaces associated with certain elgenvalue problems. SIAM Rev 15 (1973), 727-764 </div> </td> </tr> <tr valign="top"> <td valign="top"> &nbsp;</td> <td> <div class=äbstract"> 18 </div> </td> <td> <div class=äbstract"> <a href="citation.cfm?id=907075&dl=GUIDE&coll=GUIDE&CFID=46721426&CFTOKEN=31610041"> Richard Ray Underwood, An iterative block lanczos method for the solution of large sparse symmetric eigenproblems., 1975 </a> </div> </td> </tr> <tr valign="top"> <td valign="top"> &nbsp;</td> <td> <div class=äbstract"> 19 </div> </td> <td> <div class=äbstract"> <a href="citation.cfm?id=906731&dl=GUIDE&coll=GUIDE&CFID=46721426&CFTOKEN=31610041"> Charles Francis Van Loan, Generalized singular values with algorithms and applications., 1973 </a> </div> </td> </tr> <tr valign="top"> <td valign="top"> &nbsp;</td> <td> <div class=äbstract"> 20 </div> </td> <td> <div class=äbstract"> <a href="citation.cfm?id=59657&dl=GUIDE&coll=GUIDE&CFID=46721426&CFTOKEN=31610041"> J. H. Wilkinson, The algebraic eigenvalue problem, Oxford University Press, Inc., New York, NY, 1988 </a> </div> </td> </tr> </table> </div> <br> <div class=äbstract"> <A HREF="citation.cfm?id=355945.355946#CIT"><img name="top" src="http://portal.acm.org/images/arrowu.gif" hspace="10" border="0"></A><SPAN class=heading><A NAME="citings">CITED BY</A><A NAME="citedby"></A>&nbsp;&nbsp;<i>2</i></span> <table cellpadding="5"> <tr valign="top"> <td valign="top"> &nbsp; </td> <td> <div class=äbstract"> <a href="citation.cfm?id=1241428&dl=GUIDE&coll=GUIDE&CFID=46721426&CFTOKEN=31610041"> Gang Wu, A modified harmonic block Arnoldi algorithm with adaptive shifts for large interior eigenproblems, Journal of Computational and Applied Mathematics, v.205 n.1, p.343-363, August, 2007 </a> </div> </td> </tr> <tr valign="top"> <td valign="top"> <img src="http://portal.acm.org/images/ACM_mini.jpg" width="25" height="24" alt="" vspace="0" border="0" align="top"> </td> <td> <div class=äbstract"> <a href="citation.cfm?id=237622&dl=GUIDE&coll=GUIDE&CFID=46721426&CFTOKEN=31610041"> E. M. Garzon , I. Garc&#237;a, Parallel implementation of the Lanczos method for sparse matrices: analysis of data distributions, Proceedings of the 10th international conference on Supercomputing, p.294-300, May 25-28, 1996, Philadelphia, Pennsylvania, United States </a> </div> </td> </tr> </table> </div> <br> <div class="indterms"> <A HREF="citation.cfm?id=355945.355946#CIT"><img name="top" src="http://portal.acm.org/images/arrowu.gif" hspace="10" border="0"></A><SPAN class=heading><A NAME="IndexTerms">INDEX TERMS</A></span> <p class="Categories"> <SPAN class=heading><A NAME="GenTerms">Primary Classification:</A></span> <br>&nbsp; <b>G.</b> <a href="results.cfm?query=PrimaryCCS%3AG&querydisp=PrimaryCCS%3AG&termshow=matchboolean&coll=GUIDE&dl=GUIDE&CFID=46721426&CFTOKEN=31610041" target="_self"> Mathematics of Computing</a><br> &nbsp; <img src="http://portal.acm.org/images/tree.gif" border="0" height="20" width="20"> <b>G.1</b> <a href="results.cfm?query=PrimaryCCS%3AG1&querydisp=PrimaryCCS%3AG1&termshow=matchboolean&coll=GUIDE&dl=GUIDE&CFID=46721426&CFTOKEN=31610041" target="_self"> NUMERICAL ANALYSIS</a><br> &nbsp; &nbsp; &nbsp; <img src="http://portal.acm.org/images/tree.gif" border="0" height="20" width="20"> <b>G.1.3</b> <a href="results.cfm?query=PrimaryCCS%3AG13&querydisp=PrimaryCCS%3AG13&termshow=matchboolean&coll=GUIDE&dl=GUIDE&CFID=46721426&CFTOKEN=31610041" target="_self"> Numerical Linear Algebra</a><br> &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; <img src="http://portal.acm.org/images/tree.gif" border="0" height="20" width="20"> <b>Subjects:</b> <a href="results.cfm?query=PrimarySubject%3A%22Sparse%2C%20structured%2C%20and%20very%20large%20systems%20%28direct%20and%20iterative%20methods%29%22&querydisp=PrimarySubject%3A%22Sparse%2C%20structured%2C%20and%20very%20large%20systems%20%28direct%20and%20iterative%20methods%29%22&termshow=matchboolean&coll=GUIDE&dl=GUIDE&CFID=46721426&CFTOKEN=31610041" target="_self">Sparse, structured, and very large systems (direct and iterative methods)</a> <br> </p> <p class="Categories"> <SPAN class=heading><A NAME="GenTerms">Additional&nbsp;Classification:</A></span> <br>&nbsp; <b>F.</b> <a href="results.cfm?query=CCS%3AF&querydisp=CCS%3AF&termshow=matchboolean&coll=GUIDE&dl=GUIDE&CFID=46721426&CFTOKEN=31610041" target="_self"> Theory of Computation</a><br> &nbsp; <img src="http://portal.acm.org/images/tree.gif" border="0" height="20" width="20"> <b>F.2</b> <a href="results.cfm?query=CCS%3AF2&querydisp=CCS%3AF2&termshow=matchboolean&coll=GUIDE&dl=GUIDE&CFID=46721426&CFTOKEN=31610041" target="_self"> ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY</a><br> &nbsp; &nbsp; &nbsp; <img src="http://portal.acm.org/images/tree.gif" border="0" height="20" width="20"> <b>F.2.1</b> <a href="results.cfm?query=CCS%3AF21&querydisp=CCS%3AF21&termshow=matchboolean&coll=GUIDE&dl=GUIDE&CFID=46721426&CFTOKEN=31610041" target="_self"> Numerical Algorithms and Problems</a><br> &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; <img src="http://portal.acm.org/images/tree.gif" border="0" height="20" width="20"> <b>Subjects:</b> <a href="results.cfm?query=Subject%3A%22Computations%20on%20matrices%22&querydisp=Subject%3A%22Computations%20on%20matrices%22&termshow=matchboolean&coll=GUIDE&dl=GUIDE&CFID=46721426&CFTOKEN=31610041" target="_self">Computations on matrices</a> <br> </p> <br> <p class="GenTerms"> <SPAN class=heading><A NAME="GenTerms">General Terms:</A></span> <BR> <a href="results.cfm?query=General%20Terms%3A%22Algorithms%22&querydisp=General%20Terms%3A%22Algorithms%22&termshow=matchboolean&coll=GUIDE&dl=GUIDE&CFID=46721426&CFTOKEN=31610041" target="_self"> Algorithms</a>, <a href="results.cfm?query=General%20Terms%3A%22Theory%22&querydisp=General%20Terms%3A%22Theory%22&termshow=matchboolean&coll=GUIDE&dl=GUIDE&CFID=46721426&CFTOKEN=31610041" target="_self"> Theory</a> </p> </div> <div class=äbstract"> <A HREF="citation.cfm?id=355945.355946#CIT"><img name="top" src="http://portal.acm.org/images/arrowu.gif" hspace="10" border="0"></A><SPAN class=heading><A NAME="collab">Collaborative Colleagues:</A></span> <table border="0" style="margin-left: 2em" cellpadding="2"> <tr> <td> <div class=äbstract"> Gene H. 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