{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,6]],"date-time":"2024-09-06T01:28:31Z","timestamp":1725586111881},"publisher-location":"Berlin, Heidelberg","reference-count":17,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642219337"},{"type":"electronic","value":"9783642219344"}],"license":[{"start":{"date-parts":[[2011,1,1]],"date-time":"2011-01-01T00:00:00Z","timestamp":1293840000000},"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":[[2011]]},"DOI":"10.1007\/978-3-642-21934-4_52","type":"book-chapter","created":{"date-parts":[[2011,6,17]],"date-time":"2011-06-17T14:12:27Z","timestamp":1308319947000},"page":"643-653","source":"Crossref","is-referenced-by-count":0,"title":["Efficient Model Order Reduction of Large-Scale Systems on Multi-core Platforms"],"prefix":"10.1007","author":[{"given":"P.","family":"Ezzatti","sequence":"first","affiliation":[]},{"given":"E. S.","family":"Quintana-Ort\u00ed","sequence":"additional","affiliation":[]},{"given":"A.","family":"Rem\u00f3n","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"52_CR1","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898718713","volume-title":"Approximation of Large-Scale Dynamical Systems","author":"A. Antoulas","year":"2005","unstructured":"Antoulas, A.: Approximation of Large-Scale Dynamical Systems. SIAM Publications, Philadelphia (2005)"},{"key":"52_CR2","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-27909-1","volume-title":"Dimension Reduction of Large-Scale Systems","author":"V.M.P. Benner","year":"2005","unstructured":"Benner, V.M.P.: Dimension Reduction of Large-Scale Systems. Springer, Heidelberg (2005)"},{"issue":"11-12","key":"52_CR3","doi-asserted-by":"publisher","first-page":"1701","DOI":"10.1016\/j.parco.2003.05.013","volume":"29","author":"P. Benner","year":"2003","unstructured":"Benner, P., Quintana-Ort\u00ed, E.S., Quintana-Ort\u00ed, G.: State-space truncation methods for parallel model reduction of large-scale systems. Parallel Computing\u00a029(11-12), 1701\u20131722 (2003)","journal-title":"Parallel Computing"},{"key":"52_CR4","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"267","DOI":"10.1007\/11558958_32","volume-title":"Applied Parallel Computing. State of the Art in Scientific Computing","author":"J.M. Bad\u00eda","year":"2006","unstructured":"Bad\u00eda, J.M., Benner, P., Mayo, R., Quintana-Ort\u00ed, E.S.: Parallel algorithms for balanced truncation model reduction of sparse systems. In: Dongarra, J., Madsen, K., Wa\u015bniewski, J. (eds.) PARA 2004. LNCS, vol.\u00a03732, pp. 267\u2013275. Springer, Heidelberg (2006)"},{"key":"52_CR5","doi-asserted-by":"crossref","unstructured":"Benner, P., Ezzatti, P., Kressner, D., Quintana-Ort\u00ed, E.S., Rem\u00f3n, A.: A mixed-precision algorithm for the solution of \u013byapunov equations on hybrid \u00c7PU-GPU platforms. In: Parallel Computing (2010)","DOI":"10.1016\/j.parco.2010.12.002"},{"key":"52_CR6","series-title":"Mathematics in Industry","doi-asserted-by":"publisher","first-page":"387","DOI":"10.1007\/978-3-540-71980-9_43","volume-title":"Scientific Computing in Electrical Engineering","author":"A. Rem\u00f3n","year":"2007","unstructured":"Rem\u00f3n, A., Quintana-Ort\u00ed, E.S., Quintana-Ort\u00ed, G.: Solution of band linear systems in model reduction for VSLI circuits. In: Scientific Computing in Electrical Engineering. Mathematics in Industry, vol.\u00a011, pp. 387\u2013393. Springer, Heidelberg (2007)"},{"key":"52_CR7","doi-asserted-by":"publisher","first-page":"820","DOI":"10.1145\/361573.361582","volume":"15","author":"R.H. Bartels","year":"1972","unstructured":"Bartels, R.H., Stewart, G.W.: Solution of the matrix equation AX + XB = C [F4]. Commun. ACM\u00a015, 820\u2013826 (1972)","journal-title":"Commun. ACM"},{"issue":"3","key":"52_CR8","doi-asserted-by":"publisher","first-page":"303","DOI":"10.1093\/imanum\/2.3.303","volume":"2","author":"S.J. Hammarling","year":"1982","unstructured":"Hammarling, S.J.: Numerical Solution of the Stable, Non-negative Definite \u013byapunov Equation. IMA Journal of Numerical Analysis\u00a02(3), 303\u2013323 (1982)","journal-title":"IMA Journal of Numerical Analysis"},{"key":"52_CR9","unstructured":"SLICOT (Control and Systems Library)"},{"key":"52_CR10","doi-asserted-by":"publisher","first-page":"383","DOI":"10.1076\/mcmd.6.4.383.3658","volume":"6","author":"P. Benner","year":"2000","unstructured":"Benner, P., Quintana-Ort\u00ed, E.S., Quintana-Ort\u00ed, G.: Balanced Truncation Model Reduction of Large-Scale Dense Systems on Parallel Computers. Mathematical and Computer Modelling of Dynamical Systems\u00a06, 383\u2013405 (2000)","journal-title":"Mathematical and Computer Modelling of Dynamical Systems"},{"key":"52_CR11","doi-asserted-by":"crossref","unstructured":"Roberts, J.: Linear model reduction and solution of the algebraic Riccati equation by use of the sign function, vol.\u00a032, pp. 677\u2013687 (1980)","DOI":"10.1080\/00207178008922881"},{"key":"52_CR12","doi-asserted-by":"publisher","first-page":"879","DOI":"10.1080\/10556780802058721","volume":"23","author":"P. Benner","year":"2008","unstructured":"Benner, P., Quintana-Ort\u00ed, E.S., Quintana-Ort\u00ed, G.: Solving linear-quadratic optimal control problems on parallel computers. Optimization Methods Software\u00a023, 879\u2013909 (2008)","journal-title":"Optimization Methods Software"},{"key":"52_CR13","volume-title":"Matrix Computations","author":"G.H. Golub","year":"1996","unstructured":"Golub, G.H., Van Loan, C.F.: Matrix Computations, 3rd edn. Johns Hopkins University Press, Baltimore (1996)","edition":"3"},{"key":"52_CR14","doi-asserted-by":"crossref","unstructured":"Bientinesi, P., Gunter, B., van de Geijn, R.A.: Families of algorithms related to the inversion of a symmetric positive definite matrix. ACM Trans. Math. Softw.\u00a035, 3:1\u20133:22 (2008)","DOI":"10.1145\/1377603.1377606"},{"key":"52_CR15","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1145\/1055531.1055532","volume":"31","author":"P. Bientinesi","year":"2005","unstructured":"Bientinesi, P., Gunnels, J.A., Myers, M.E., Quintana-Ort\u00ed, E.S., van de Geijn, R.A.: The science of deriving dense linear algebra algorithms. ACM Trans. Math. Softw.\u00a031, 1\u201326 (2005)","journal-title":"ACM Trans. Math. Softw."},{"issue":"4","key":"52_CR16","doi-asserted-by":"publisher","first-page":"422","DOI":"10.1145\/504210.504213","volume":"27","author":"J.A. Gunnels","year":"2001","unstructured":"Gunnels, J.A., Gustavson, F.G., Henry, G.M., van de Geijn, R.A.: Flame: Formal linear algebra methods environment. ACM Transactions on Mathematical Software\u00a027(4), 422\u2013455 (2001)","journal-title":"ACM Transactions on Mathematical Software"},{"key":"52_CR17","unstructured":"Intel Corporation, http:\/\/www.intel.com\/"}],"container-title":["Lecture Notes in Computer Science","Computational Science and Its Applications - ICCSA 2011"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-21934-4_52","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,11]],"date-time":"2019-06-11T16:59:55Z","timestamp":1560272395000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-21934-4_52"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011]]},"ISBN":["9783642219337","9783642219344"],"references-count":17,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-21934-4_52","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2011]]}}}