{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,9]],"date-time":"2024-09-09T08:32:52Z","timestamp":1725870772238},"publisher-location":"Cham","reference-count":18,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319399270"},{"type":"electronic","value":"9783319399294"}],"license":[{"start":{"date-parts":[[2016,1,1]],"date-time":"2016-01-01T00:00:00Z","timestamp":1451606400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2016]]},"DOI":"10.1007\/978-3-319-39929-4_30","type":"book-chapter","created":{"date-parts":[[2016,11,10]],"date-time":"2016-11-10T12:11:44Z","timestamp":1478779904000},"page":"305-313","source":"Crossref","is-referenced-by-count":4,"title":["Block Variants of the COCG and COCR Methods for Solving Complex Symmetric Linear Systems with Multiple Right-Hand Sides"],"prefix":"10.1007","author":[{"given":"Xian-Ming","family":"Gu","sequence":"first","affiliation":[]},{"given":"Bruno","family":"Carpentieri","sequence":"additional","affiliation":[]},{"given":"Ting-Zhu","family":"Huang","sequence":"additional","affiliation":[]},{"given":"Jing","family":"Meng","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2016,11,11]]},"reference":[{"key":"30_CR1","doi-asserted-by":"crossref","first-page":"416","DOI":"10.1002\/nme.1201","volume":"62","author":"I.S. Duff","year":"2005","unstructured":"I.S. Duff, L. Giraud, J. Langou, E. Martin, Using spectral low rank preconditioners for large electromagnetic calculations. Int. J. Numer. Methods Eng. 62, 416\u2013434 (2005)","journal-title":"Int. J. Numer. Methods Eng."},{"key":"30_CR2","doi-asserted-by":"crossref","first-page":"774","DOI":"10.1137\/040603917","volume":"27","author":"B. Carpentieri","year":"2005","unstructured":"B.\u00a0Carpentieri, I.S. Duff, L.\u00a0Giraud, G.\u00a0Sylvand, Combining fast multipole techniques and an approximate inverse preconditioner for large electromagnetism calculations. SIAM J. Sci. Comput. 27, 774\u2013792 (2005)","journal-title":"SIAM J. Sci. Comput."},{"key":"30_CR3","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1080\/00207160.2012.718072","volume":"90","author":"J. Zhang","year":"2013","unstructured":"J. Zhang, J. Zhao, A novel class of block methods based on the block AA T -Lanczos bi-orthogonalization process for matrix equations. Int. J. Comput. Math. 90, 341\u2013359 (2013)","journal-title":"Int. J. Comput. Math."},{"key":"30_CR4","unstructured":"M.H. Gutknecht, Block Krylov space methods for linear systems with multiple right-hand sides: an introduction. in Modern Mathematical Models, Methods and Algorithms for Real World Systems ed. by A.\u00a0H. Siddiqi, I.\u00a0S. Duff, O. Christensen, (Anamaya Publishers, New\u00a0Delhi, 2006), pp.\u00a0420\u2013447"},{"key":"30_CR5","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1016\/0024-3795(80)90247-5","volume":"29","author":"D.P. O\u2019Leary","year":"1980","unstructured":"D.P. O\u2019Leary, The block conjugate gradient algorithm and related methods. Linear Algebra Appl. 29, 293\u2013322 (1980)","journal-title":"Linear Algebra Appl."},{"key":"30_CR6","first-page":"129","volume":"16","author":"A. Guennouni el","year":"2003","unstructured":"A.\u00a0el\u00a0Guennouni, K.\u00a0Jbilou, H.\u00a0Sadok, A block version of BiCGSTAB for linear systems with multiple right-hand sides. Electron. Trans. Numer. Anal. 16, 129\u2013142 (2003)","journal-title":"Electron. Trans. Numer. Anal."},{"key":"30_CR7","doi-asserted-by":"crossref","first-page":"119","DOI":"10.1016\/S0024-3795(96)00529-0","volume":"254","author":"R.W. Freund","year":"1997","unstructured":"R.W. Freund, M. Malhotra, A block QMR algorithm for non-Hermitian linear systems with multiple right-hand sides. Linear Algebra Appl. 254, 119\u2013157 (1997)","journal-title":"Linear Algebra Appl."},{"key":"30_CR8","doi-asserted-by":"crossref","first-page":"4095","DOI":"10.1016\/j.cam.2011.02.035","volume":"235","author":"L. Du","year":"2011","unstructured":"L. Du, T. Sogabe, B. Yu, Y. Yamamoto, S.-L. Zhang, A block IDR(s) method for nonsymmetric linear systems with multiple right-hand sides. J. Comput. Appl. Math. 235, 4095\u20134106 (2011)","journal-title":"J. Comput. Appl. Math."},{"key":"30_CR9","unstructured":"B. Vital, Etude de quelques m\u00e9thodes de r\u00e9solution de probl\u00e9mes lin\u00e9aires de grande taille sur multiprocesseur, Ph.D. Thesis, Universit\u00e9 de Rennes I, Rennes, 1990"},{"key":"30_CR10","unstructured":"H. Tadano, T. Sakurai, A block Krylov subspace method for the contour integral method and its application to molecular orbital computations. IPSJ Trans. Adv. Comput. Syst. 2, 10\u201318 (2009, in Japanese)"},{"key":"30_CR11","doi-asserted-by":"crossref","first-page":"706","DOI":"10.1109\/20.106415","volume":"26","author":"H.A. Vorst Van der","year":"1990","unstructured":"H.A.\u00a0Van der Vorst, J.B.M. Melissen, A Petrov-Galerkin type method for solving $$A\\boldsymbol{x} = \\boldsymbol{b}$$ , where A is symmetric complex. IEEE Trans. Mag. 26, 706\u2013708 (1990)","journal-title":"IEEE Trans. Mag."},{"key":"30_CR12","doi-asserted-by":"crossref","first-page":"297","DOI":"10.1016\/j.cam.2005.07.032","volume":"199","author":"T. Sogabe","year":"2007","unstructured":"T.\u00a0Sogabe, S.-L.\u00a0Zhang, A COCR method for solving complex symmetric linear systems. J. Comput. Appl. Math. 199, 297\u2013303 (2007)","journal-title":"J. Comput. Appl. Math."},{"key":"30_CR13","first-page":"216","volume":"12","author":"A.A. Dubrulle","year":"2001","unstructured":"A.A. Dubrulle, Retooling the method of block conjugate gradients. Electron. Trans. Numer. Anal. 12, 216\u2013233 (2001)","journal-title":"Electron. Trans. Numer. Anal."},{"key":"30_CR14","doi-asserted-by":"crossref","first-page":"52","DOI":"10.1016\/j.cpc.2015.01.018","volume":"191","author":"X.-M. Gu","year":"2015","unstructured":"X.-M. Gu, M. Clemens, T.-Z. Huang, L. Li, The SCBiCG class of algorithms for complex symmetric linear systems with applications in several electromagnetic model problems. Comput. Phys. Commun. 191, 52\u201364 (2015)","journal-title":"Comput. Phys. Commun."},{"key":"30_CR15","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1016\/j.cam.2014.12.040","volume":"282","author":"H.-X. Zhong","year":"2015","unstructured":"H.-X. Zhong, G. Wu, G. Chen, A flexible and adaptive simpler block GMRES with deflated restarting for linear systems with multiple right-hand sides. J. Comput. Appl. Math. 282, 139\u2013156 (2015)","journal-title":"J. Comput. Appl. Math."},{"key":"30_CR16","doi-asserted-by":"crossref","first-page":"55","DOI":"10.2528\/PIER12041006","volume":"128","author":"B. Carpentieri","year":"2012","unstructured":"B.\u00a0Carpentieri, M.\u00a0Bollh\u00f6fer, Symmetric inverse-based multilevel ILU preconditioning for solving dense complex non-Hermitian systems in electromagnetics. Prog. Electromagn. Res. (PIER) 128, 55\u201374 (2012)","journal-title":"Prog. Electromagn. Res. (PIER)"},{"key":"30_CR17","doi-asserted-by":"crossref","first-page":"422","DOI":"10.1049\/el:20073475","volume":"43","author":"P.L. Rui","year":"2007","unstructured":"P.L. Rui, R.S. Chen, Z.H. Fan, D.Z. Ding, Multi-step spectral preconditioner for fast monostatic radar cross-section calculation. Electron. Lett. 43, 422\u2013423 (2007)","journal-title":"Electron. Lett."},{"key":"30_CR18","doi-asserted-by":"crossref","unstructured":"B.\u00a0Carpentieri, I.S.\u00a0Duff, L.\u00a0Giraud, M.\u00a0Magolu monga Made, Sparse symmetric preconditioners for dense linear systems in electromagnetism. Numer. Linear Algebra Appl. 11, 753\u2013771 (2004)","DOI":"10.1002\/nla.345"}],"container-title":["Lecture Notes in Computational Science and Engineering","Numerical Mathematics and Advanced Applications ENUMATH 2015"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-39929-4_30","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,25]],"date-time":"2017-06-25T03:17:28Z","timestamp":1498360648000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-39929-4_30"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016]]},"ISBN":["9783319399270","9783319399294"],"references-count":18,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-39929-4_30","relation":{},"ISSN":["1439-7358","2197-7100"],"issn-type":[{"type":"print","value":"1439-7358"},{"type":"electronic","value":"2197-7100"}],"subject":[],"published":{"date-parts":[[2016]]}}}