{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T20:27:37Z","timestamp":1725568057584},"publisher-location":"Berlin, Heidelberg","reference-count":27,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540290674"},{"type":"electronic","value":"9783540334989"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2006]]},"DOI":"10.1007\/11558958_32","type":"book-chapter","created":{"date-parts":[[2006,2,23]],"date-time":"2006-02-23T15:02:16Z","timestamp":1140706936000},"page":"267-275","source":"Crossref","is-referenced-by-count":10,"title":["Parallel Algorithms for Balanced Truncation Model Reduction of Sparse Systems"],"prefix":"10.1007","author":[{"given":"Jos\u00e9 M.","family":"Bad\u00eda","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Peter","family":"Benner","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Rafael","family":"Mayo","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Enrique S.","family":"Quintana-Ort\u00ed","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"32_CR1","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"122","DOI":"10.1007\/3-540-70734-4_16","volume-title":"Applied Parallel Computing. New Paradigms for HPC in Industry and Academia","author":"P.R. Amestoy","year":"2001","unstructured":"Amestoy, P.R., Duff, I.S., Koster, J., L\u2019Excellent, J.-Y.: MUMPS: a general purpose distributed memory sparse solver. In: S\u00f8revik, T., Manne, F., Moe, R., Gebremedhin, A.H. (eds.) PARA 2000. LNCS, vol.\u00a01947, pp. 122\u2013131. Springer, Heidelberg (2001)"},{"key":"32_CR2","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898718713","volume-title":"Approximation of Large-Scale Dynamical Systems","author":"A.C. Antoulas","year":"2005","unstructured":"Antoulas, A.C.: Approximation of Large-Scale Dynamical Systems. SIAM Publications, Philadelphia (2005)"},{"issue":"4","key":"32_CR3","doi-asserted-by":"crossref","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. Math. Comput.Model. Dyn. Syst.\u00a06(4), 383\u2013405 (2000)","journal-title":"Math. Comput.Model. Dyn. Syst."},{"key":"32_CR4","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 Comput.\u00a029, 1701\u20131722 (2003)","journal-title":"Parallel Comput."},{"key":"32_CR5","unstructured":"Chahlaoui, Y., Van Dooren, P.: A collection of benchmark examples for model reduction of linear time invariant dynamical systems. SLICOT Working Note 2002\u20132 (February 2002), Available from \n                      \n                        http:\/\/www.win.tue.nl\/niconet\/NIC2\/reports.html"},{"key":"32_CR6","volume-title":"Interconnect Analysis and Synthesis","author":"C.-K. Cheng","year":"2000","unstructured":"Cheng, C.-K., Lillis, J., Lin, S., Chang, N.H.: Interconnect Analysis and Synthesis. John Wiley & Sons, Inc., New York (2000)"},{"key":"32_CR7","unstructured":"Cheng, J., Ianculescu, G., Kenney, C.S., Laub, A.J., Papadopoulos, P.M.: Control-structure interaction for space station solar dynamic power module. IEEE Control Systems, 4\u201313 (1992)"},{"key":"32_CR8","doi-asserted-by":"publisher","first-page":"874","DOI":"10.2514\/3.25414","volume":"13","author":"P.Y. Chu","year":"1990","unstructured":"Chu, P.Y., Wie, B., Gretz, B., Plescia, C.: Approach to large space structure control system design using traditional tools. AIAA J. Guidance, Control, and Dynamics\u00a013, 874\u2013880 (1990)","journal-title":"AIAA J. Guidance, Control, and Dynamics"},{"key":"32_CR9","unstructured":"Demmel, J.W., Gilbert, J.R., Li, X.S.: SuperLU User\u2019s Guide"},{"key":"32_CR10","volume-title":"Direct methods for sparse matrices","author":"I.S. Duff","year":"1993","unstructured":"Duff, I.S., Erisman, A.M., Reid, J.K.: Direct methods for sparse matrices. Oxford Science Publications, Oxford (1993)"},{"key":"32_CR11","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4471-3198-4","volume-title":"Model Order Reduction Techniques with Applications in Electrical Engineering","author":"L. Fortuna","year":"1992","unstructured":"Fortuna, L., Nummari, G., Gallo, A.: Model Order Reduction Techniques with Applications in Electrical Engineering. Springer, Heidelberg (1992)"},{"key":"32_CR12","series-title":"ch. 9","doi-asserted-by":"crossref","first-page":"435","DOI":"10.1007\/978-1-4612-0571-5_9","volume-title":"Applied and Computational Control, Signals, and Circuits","author":"R. Freund","year":"1999","unstructured":"Freund, R.: Reduced-order modeling techniques based on Krylov subspaces and their use in circuit simulation. In: Datta, B.N. (ed.) Applied and Computational Control, Signals, and Circuits. ch. 9, vol.\u00a01, pp. 435\u2013498. Birkh\u00e4user, Boston (1999)"},{"key":"32_CR13","doi-asserted-by":"publisher","first-page":"267","DOI":"10.1017\/S0962492902000120","volume":"12","author":"R. Freund","year":"2003","unstructured":"Freund, R.: Model reduction methods based on Krylov subspaces. Acta Numerica\u00a012, 267\u2013319 (2003)","journal-title":"Acta Numerica"},{"key":"32_CR14","first-page":"280","volume-title":"Technical Digest of the 1996 IEEE\/ACM International Conference on Computer-Aided Design","author":"R.W. Freund","year":"1996","unstructured":"Freund, R.W., Feldmann, P.: Reduced-order modeling of large passive linear circuits by means of the SyPVL algorithm. In: Technical Digest of the 1996 IEEE\/ACM International Conference on Computer-Aided Design, pp. 280\u2013287. IEEE Computer Society Press, Los Alamitos (1996)"},{"key":"32_CR15","unstructured":"Goto, K., van de Geijn, R.: On reducing TLB misses in matrix multiplication. FLAME Working Note 9, Department of Computer Sciences, The University of Texas at Austin (2002), \n                      \n                        http:\/\/www.cs.utexas.edu\/users\/flame"},{"key":"32_CR16","doi-asserted-by":"crossref","unstructured":"Gugercin, S., Antoulas, A.C.: A survey of balancing methods for model reduction. In: Proc. European Control Conf. ECC 2003 (CD-ROM), Cambridge (2003)","DOI":"10.23919\/ECC.2003.7085084"},{"issue":"1","key":"32_CR17","doi-asserted-by":"publisher","first-page":"260","DOI":"10.1137\/S0895479801384937","volume":"24","author":"J.-R. Li","year":"2002","unstructured":"Li, J.-R., White, J.: Low rank solution of Lyapunov equations. SIAM J. Matrix Anal. Appl.\u00a024(1), 260\u2013280 (2002)","journal-title":"SIAM J. Matrix Anal. Appl."},{"key":"32_CR18","doi-asserted-by":"publisher","first-page":"17","DOI":"10.1109\/TAC.1981.1102568","volume":"AC-26","author":"B.C. Moore","year":"1981","unstructured":"Moore, B.C.: Principal component analysis in linear systems: Controllability, observability, and model reduction. IEEE Trans. Automat. Control\u00a0AC-26, 17\u201332 (1981)","journal-title":"IEEE Trans. Automat. Control"},{"key":"32_CR19","series-title":"Communications and Control Engineering Series","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4471-0283-0","volume-title":"Model Reduction for Control System Design","author":"G. Obinata","year":"2001","unstructured":"Obinata, G., Anderson, B.D.O.: Model Reduction for Control System Design. Communications and Control Engineering Series. Springer, London (2001)"},{"key":"32_CR20","volume-title":"Analysis of Multiconductor Transmission Lines","author":"C.R. Paul","year":"1994","unstructured":"Paul, C.R.: Analysis of Multiconductor Transmission Lines. Wiley\u2013Interscience, Singapur (1994)"},{"key":"32_CR21","unstructured":"Penzl, T.: Algorithms for model reduction of large dynamical systems. Technical Report SFB393\/99-40, Sonderforschungsbereich 393 Numerische Simulation auf massiv parallelen Rechnern, TU Chemnitz, 09107 Chemnitz, Germany (1999), Available from \n                      \n                        http:\/\/www.tu-chemnitz.de\/sfb393\/sfb99pr.html"},{"issue":"4","key":"32_CR22","doi-asserted-by":"publisher","first-page":"1401","DOI":"10.1137\/S1064827598347666","volume":"21","author":"T. Penzl","year":"2000","unstructured":"Penzl, T.: A cyclic low rank Smith method for large sparse Lyapunov equations. SIAM J. Sci. Comput.\u00a021(4), 1401\u20131418 (2000)","journal-title":"SIAM J. Sci. Comput."},{"key":"32_CR23","doi-asserted-by":"publisher","first-page":"729","DOI":"10.1109\/9.29399","volume":"AC-34","author":"M.G. Safonov","year":"1989","unstructured":"Safonov, M.G., Chiang, R.Y.: A Schur method for balanced-truncation model reduction. IEEE Trans. Automat.\u00a0AC-34, 729\u2013733 (1989)","journal-title":"IEEE Trans. Automat."},{"issue":"4","key":"32_CR24","doi-asserted-by":"publisher","first-page":"1319","DOI":"10.1080\/00207178708933971","volume":"46","author":"M.S. Tombs","year":"1987","unstructured":"Tombs, M.S., Postlethwaite, I.: Truncated balanced realization of a stable non-minimal state-space system. Internat. J. Control\u00a046(4), 1319\u20131330 (1987)","journal-title":"Internat. J. Control"},{"key":"32_CR25","unstructured":"Varga, A.: Efficient minimal realization procedure based on balancing. In: Prepr. of the IMACS Symp. on Modelling and Control of Technological Systems, vol.\u00a02, pp. 42\u201347 (1991)"},{"key":"32_CR26","series-title":"The Kluwer International Series in Engineering and Computer Science","doi-asserted-by":"crossref","first-page":"239","DOI":"10.1007\/978-1-4615-1471-8_7","volume-title":"Applied and Computational Control, Signals, and Circuits","author":"A. Varga","year":"2001","unstructured":"Varga, A.: Model reduction software in the SLICOT library. In: Datta, B.N. (ed.) Applied and Computational Control, Signals, and Circuits. The Kluwer International Series in Engineering and Computer Science, vol.\u00a0629, pp. 239\u2013282. Kluwer Academic Publishers, Boston (2001)"},{"key":"32_CR27","unstructured":"Wachspress, E.L.: ADI iteration parameters for the Sylvester equation, Available from the author (2000)"}],"container-title":["Lecture Notes in Computer Science","Applied Parallel Computing. State of the Art in Scientific Computing"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/11558958_32.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,27]],"date-time":"2021-04-27T07:10:56Z","timestamp":1619507456000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/11558958_32"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006]]},"ISBN":["9783540290674","9783540334989"],"references-count":27,"URL":"https:\/\/doi.org\/10.1007\/11558958_32","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2006]]}}}