{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,8]],"date-time":"2025-10-08T16:06:33Z","timestamp":1759939593152,"version":"3.37.3"},"reference-count":59,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2018,4,11]],"date-time":"2018-04-11T00:00:00Z","timestamp":1523404800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100004488","name":"Hrvatska Zaklada za Znanost","doi-asserted-by":"publisher","award":["IP-2014-09-9540"],"award-info":[{"award-number":["IP-2014-09-9540"]}],"id":[{"id":"10.13039\/501100004488","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004488","name":"Hrvatska Zaklada za Znanost","doi-asserted-by":"publisher","award":["IP-2016-06-2468"],"award-info":[{"award-number":["IP-2016-06-2468"]}],"id":[{"id":"10.13039\/501100004488","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100006188","name":"Einstein Stiftung Berlin","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100006188","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100005156","name":"Alexander von Humboldt-Stiftung","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100005156","id-type":"DOI","asserted-by":"publisher"}]},{"name":"NSF through Grant","award":["DMS-1522616"],"award-info":[{"award-number":["DMS-1522616"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Adv Comput Math"],"published-print":{"date-parts":[[2018,12]]},"DOI":"10.1007\/s10444-018-9605-9","type":"journal-article","created":{"date-parts":[[2018,4,11]],"date-time":"2018-04-11T03:02:03Z","timestamp":1523415723000},"page":"1797-1820","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["Damping optimization of parameter dependent mechanical systems by rational interpolation"],"prefix":"10.1007","volume":"44","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3239-760X","authenticated-orcid":false,"given":"Zoran","family":"Tomljanovi\u0107","sequence":"first","affiliation":[]},{"given":"Christopher","family":"Beattie","sequence":"additional","affiliation":[]},{"given":"Serkan","family":"Gugercin","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2018,4,11]]},"reference":[{"key":"9605_CR1","first-page":"317","volume":"216","author":"K Afanasiev","year":"2001","unstructured":"Afanasiev, K., Hinze, M.: Adaptive control of a wake flow using proper orthogonal decomposition. Shape Optimization and Optimal Design, Lecture Notes in Pure and Applied Mathematics, Marcel Dekker 216, 317\u2013332 (2001)","journal-title":"Shape Optimization and Optimal Design, Lecture Notes in Pure and Applied Mathematics, Marcel Dekker"},{"issue":"1","key":"9605_CR2","doi-asserted-by":"publisher","first-page":"16","DOI":"10.1007\/BF01197433","volume":"15","author":"N Alexandrov","year":"1998","unstructured":"Alexandrov, N., Dennis, J., Lewis, R., Torczon, V.: A trust-region framework for managing the use of approximation models in optimization. Struct. Multidiscip. Optim. 15(1), 16\u201323 (1998)","journal-title":"Struct. Multidiscip. Optim."},{"key":"9605_CR3","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":"9605_CR4","doi-asserted-by":"crossref","unstructured":"Antoulas, A., Beattie, C., Gugercin, S.: Interpolatory model reduction of large-scale dynamical systems. In: Efficient modeling and control of large-scale systems, pp. 3\u201358. Springer (2010)","DOI":"10.1007\/978-1-4419-5757-3_1"},{"key":"9605_CR5","doi-asserted-by":"publisher","first-page":"193","DOI":"10.1090\/conm\/280\/04630","volume":"280","author":"AC Antoulas","year":"2001","unstructured":"Antoulas, A.C., Sorensen, D.C., Gugercin, S.: A survey of model reduction methods for large-scale systems. Contemp. Math. 280, 193\u2013219 (2001)","journal-title":"Contemp. Math."},{"key":"9605_CR6","unstructured":"Arian, E., Fahl, M., Sachs, E.: Trust-region proper orthogonal decomposition for flow control. ICASE Technical Report (2000)"},{"key":"9605_CR7","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898719581","volume-title":"Templates for the solution of algebraic eigenvalue problems: a practical guide","author":"Z Bai","year":"2000","unstructured":"Bai, Z., Demmel, J., Dongarra, J., Ruhe, A., van der Vorst, H.: Templates for the solution of algebraic eigenvalue problems: a practical guide. SIAM, Philadelphia (2000)"},{"key":"9605_CR8","doi-asserted-by":"publisher","first-page":"1692","DOI":"10.1137\/040605552","volume":"5","author":"Z Bai","year":"2005","unstructured":"Bai, Z., Su, Y.: Dimension reduction of second order dynamical systems via a second-order Arnoldi method. SIAM J. Sci. Comput. 5, 1692\u20131709 (2005)","journal-title":"SIAM J. Sci. Comput."},{"key":"9605_CR9","doi-asserted-by":"publisher","first-page":"844","DOI":"10.1002\/nme.2100","volume":"73","author":"O Bashir","year":"2008","unstructured":"Bashir, O., Willcox, K., Ghattas, O., van Bloemen Waanders, B., Hill, H.: Hessian-based model reduction for large-scale systems with initial condition inputs. Internat. J. Numer. Methods Engrg. 73, 844\u2013868 (2008)","journal-title":"Internat. J. Numer. Methods Engrg."},{"issue":"5","key":"9605_CR10","doi-asserted-by":"publisher","first-page":"2489","DOI":"10.1137\/090776925","volume":"33","author":"U Baur","year":"2011","unstructured":"Baur, U., Beattie, C.A., Benner, P., Gugercin, S.: Interpolatory projection methods for parameterized model reduction. SIAM J. Sci. Comput. 33(5), 2489\u20132518 (2011)","journal-title":"SIAM J. Sci. Comput."},{"issue":"4","key":"9605_CR11","doi-asserted-by":"publisher","first-page":"331","DOI":"10.1007\/s11831-014-9111-2","volume":"21","author":"U Baur","year":"2014","unstructured":"Baur, U., Benner, P., Feng, L.: Model order reduction for linear and nonlinear systems: a system-theoretic perspective. Arch. Comput. Methods Eng. 21(4), 331\u2013358 (2014)","journal-title":"Arch. Comput. Methods Eng."},{"key":"9605_CR12","doi-asserted-by":"crossref","unstructured":"Beattie, C., Gugercin, S.: Krylov-based model reduction of second-order systems with proportional damping. In: Proceedings of the 44Th IEEE conference on decision and control, pp. 2278\u20132283 (2005)","DOI":"10.1109\/CDC.2005.1582501"},{"key":"9605_CR13","doi-asserted-by":"publisher","first-page":"225","DOI":"10.1016\/j.sysconle.2008.10.016","volume":"58","author":"C Beattie","year":"2009","unstructured":"Beattie, C., Gugercin, S.: Interpolatory projection methods for structure-preserving model reduction. Syst. Control Lett. 58, 225\u2013232 (2009)","journal-title":"Syst. Control Lett."},{"key":"9605_CR14","doi-asserted-by":"crossref","unstructured":"Beattie, C., Gugercin, S.: Model reduction by rational interpolation. In: Benner, P., Cohen, A., Ohlberger, M., Willcox, K. (eds.) To appear in model reduction and approximation: theory and algorithms. Available as http:\/\/arxiv.org\/abs\/1409.2140 . SIAM, Philadelphia (2017)","DOI":"10.1137\/1.9781611974829.ch7"},{"issue":"3","key":"9605_CR15","doi-asserted-by":"publisher","first-page":"859","DOI":"10.1137\/110836742","volume":"33","author":"P Benner","year":"2012","unstructured":"Benner, P., Breiten, T.: Interpolation-based \u210b 2 $\\mathcal {H}_{2}$ -model reduction of bilinear control systems. SIAM J. Matrix Anal. Appl. 33(3), 859\u2013885 (2012)","journal-title":"SIAM J. Matrix Anal. Appl."},{"issue":"8","key":"9605_CR16","doi-asserted-by":"publisher","first-page":"1398","DOI":"10.1080\/00207179.2011.601761","volume":"84","author":"P Benner","year":"2011","unstructured":"Benner, P., Breiten, T., Damm, T.: Generalized tangential interpolation for model reduction of discrete-time mimo bilinear systems. Int. J. Control. 84(8), 1398\u20131407 (2011)","journal-title":"Int. J. Control."},{"key":"9605_CR17","unstructured":"Benner, P., Cohen, A., Ohlberger, M., Willcox, K.: Model reduction and approximation: theory and algorithms. SIAM (2005)"},{"issue":"4","key":"9605_CR18","doi-asserted-by":"publisher","first-page":"483","DOI":"10.1137\/130932715","volume":"57","author":"P Benner","year":"2015","unstructured":"Benner, P., Gugercin, S., Willcox, K.: A survey of projection-based model reduction methods for parametric dynamical systems. SIAM Rev. 57(4), 483\u2013531 (2015)","journal-title":"SIAM Rev."},{"key":"9605_CR19","doi-asserted-by":"publisher","unstructured":"Benner, P., K\u00fcrschner, P., Tomljanovi\u0107, Z., Truhar, N.: Semi-active damping optimization of vibrational systems using the parametric dominant pole algorithm. J. Appl. Math. Mech., 1\u201316. https:\/\/doi.org\/10.1002\/zamm201400158 (2015)","DOI":"10.1002\/zamm201400158"},{"key":"9605_CR20","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-27909-1","volume-title":"Dimension reduction of Large-Scale systems. Lecture notes in computational science and engineering","author":"P Benner","year":"2005","unstructured":"Benner, P., Mehrmann, V., Sorensen, D.: Dimension reduction of Large-Scale systems. Lecture notes in computational science and engineering. Springer, Berlin (2005)"},{"key":"9605_CR21","doi-asserted-by":"crossref","unstructured":"Benner, P., Sachs, E., Volkwein, S.: Model order reduction for PDE constrained optimization. Trends in PDE Constrained Optimization, Springer, 303\u2013326 (2014)","DOI":"10.1007\/978-3-319-05083-6_19"},{"issue":"3","key":"9605_CR22","doi-asserted-by":"publisher","first-page":"179","DOI":"10.1002\/zamm.201000077","volume":"91","author":"P Benner","year":"2011","unstructured":"Benner, P., Tomljanovi\u0107, Z., Truhar, N.: Dimension reduction for damping optimization in linear vibrating systems. Z. Angew. Math. Mech. 91(3), 179\u2013191 (2011). https:\/\/doi.org\/10.1002\/zamm.201000077","journal-title":"Z. Angew. Math. Mech."},{"issue":"1","key":"9605_CR23","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1002\/nla.833","volume":"20","author":"P Benner","year":"2013","unstructured":"Benner, P., Tomljanovi\u0107, Z., Truhar, N.: Optimal damping of selected eigenfrequencies using dimension reduction. Numer. Linear Algebr. 20(1), 1\u201317 (2013). https:\/\/doi.org\/10.1002\/nla.833","journal-title":"Numer. Linear Algebr."},{"issue":"12","key":"9605_CR24","doi-asserted-by":"publisher","first-page":"1886","DOI":"10.1080\/00207179.2012.710915","volume":"85","author":"F Blanchini","year":"2012","unstructured":"Blanchini, F., Casagrande, D., Gardonio, P., Miani, S.: Constant and switching gains in semi-active damping of vibrating structures. Int. J. Control 85(12), 1886\u20131897 (2012)","journal-title":"Int. J. Control"},{"key":"9605_CR25","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.matcom.2015.08.017","volume":"122","author":"T Bonin","year":"2016","unstructured":"Bonin, T., Fa\u00dfbender, H., Soppa, A., Zaeh, M.: A fully adaptive rational global arnoldi method for the model-order reduction of second-order mimo systems with proportional damping. Math. Comput. Simul. 122, 1\u201319 (2016)","journal-title":"Math. Comput. Simul."},{"issue":"6","key":"9605_CR26","doi-asserted-by":"publisher","first-page":"2992","DOI":"10.1137\/15M1032296","volume":"54","author":"T Breiten","year":"2016","unstructured":"Breiten, T.: Structure-preserving model reduction for integro-differential equations. SIAM J. Control. Optim. 54(6), 2992\u20133015 (2016)","journal-title":"SIAM J. Control. Optim."},{"issue":"5","key":"9605_CR27","doi-asserted-by":"publisher","first-page":"1202","DOI":"10.1016\/j.cam.2008.12.029","volume":"233","author":"A Bunse-Gerstner","year":"2010","unstructured":"Bunse-Gerstner, A., Kubalinska, D., Vossen, G., Wilczek, D.: \u210b 2 $\\mathcal {H}_{2}$ -norm optimal model reduction for large scale discrete dynamical {MIMO} systems. J. Comput. Appl. Math. 233(5), 1202\u20131216 (2010). https:\/\/doi.org\/10.1016\/j.cam.2008.12.029 . http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0377042709001824 . Special Issue Dedicated to William B. Gragg on the Occasion of His 70th Birthday","journal-title":"J. Comput. Appl. Math."},{"key":"9605_CR28","volume-title":"Linear optimal control: $\\mathcal {H}_{2}$\u210b2 and $\\mathcal {H}_{\\infty }$\u210b8 Methods","author":"JB Burl","year":"1998","unstructured":"Burl, J.B.: Linear optimal control: \u210b 2 $\\mathcal {H}_{2}$ and \u210b 8 $\\mathcal {H}_{\\infty }$ Methods, 1st edn. Addison-wesley Longman Publishing Co., Inc., Boston (1998)","edition":"1st edn."},{"issue":"8","key":"9605_CR29","doi-asserted-by":"publisher","first-page":"501","DOI":"10.1002\/zamm.201200014","volume":"93","author":"J Fehr","year":"2013","unstructured":"Fehr, J., Fischer, M., Haasdonk, B., Eberhard, P.: Greedy-based approximation of frequency-weighted gramian matrices for model reduction in multibody dynamics. ZAMM - Journal of Applied Mathematics and Mechanics \/ Zeitschrift f\u017a,r Angewandte Mathematik und Mechanik 93(8), 501\u2013519 (2013). https:\/\/doi.org\/10.1002\/zamm.201200014","journal-title":"ZAMM - Journal of Applied Mathematics and Mechanics \/ Zeitschrift f\u017a,r Angewandte Mathematik und Mechanik"},{"issue":"2","key":"9605_CR30","doi-asserted-by":"publisher","first-page":"549","DOI":"10.1137\/130947830","volume":"36","author":"G Flagg","year":"2015","unstructured":"Flagg, G., Gugercin, S.: Multipoint Volterra series interpolation and \u210b 2 $\\mathcal {H}_{2}$ optimal model reduction of bilinear systems. SIAM J. Matrix Anal. Appl. 36(2), 549\u2013579 (2015)","journal-title":"SIAM J. Matrix Anal. Appl."},{"issue":"1","key":"9605_CR31","doi-asserted-by":"publisher","first-page":"195","DOI":"10.1137\/S0895479897331850","volume":"21","author":"P Freitas","year":"1999","unstructured":"Freitas, P., Lancaster, P.: On the optimal value of the spectral abscissa for a system of linear oscillators. SIAM J. Matrix Anal. Appl. 21(1), 195\u2013208 (1999)","journal-title":"SIAM J. Matrix Anal. Appl."},{"issue":"2","key":"9605_CR32","doi-asserted-by":"publisher","first-page":"328","DOI":"10.1137\/S0895479803423925","volume":"26","author":"K Gallivan","year":"2005","unstructured":"Gallivan, K., Vandendorpe, A., Van Dooren, P.: Model reduction of MIMO systems via tangential interpolation. SIAM J. Matrix Anal. Appl. 26(2), 328\u2013349 (2005)","journal-title":"SIAM J. Matrix Anal. Appl."},{"key":"9605_CR33","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-387-72133-0","volume-title":"Advanced structural dynamics and active control of structures","author":"W Gawronski","year":"2004","unstructured":"Gawronski, W.: Advanced structural dynamics and active control of structures. Springer, New York (2004)"},{"key":"9605_CR34","volume-title":"Matrix computations","author":"G Golub","year":"1996","unstructured":"Golub, G., Loan, C.V.: Matrix computations, 3rd edn. J. Hopkins University Press, Baltimore (1996)","edition":"3rd edn."},{"issue":"1","key":"9605_CR35","doi-asserted-by":"publisher","first-page":"10","DOI":"10.1080\/10556788.2012.719508","volume":"29","author":"S Gratton","year":"2014","unstructured":"Gratton, S., Vicente, L.N.: A surrogate management framework using rigorous trust-region steps. Optimization Methods Software 29(1), 10\u201323 (2014)","journal-title":"Optimization Methods Software"},{"issue":"2","key":"9605_CR36","doi-asserted-by":"publisher","first-page":"609","DOI":"10.1137\/060666123","volume":"30","author":"S Gugercin","year":"2008","unstructured":"Gugercin, S., Antoulas, A.C., Beattie, C.: \u210b 2 $\\mathcal {H}_{2}$ model reduction for large-scale linear dynamical systems. SIAM J. Matrix Anal. Appl. 30(2), 609\u2013638 (2008)","journal-title":"SIAM J. Matrix Anal. Appl."},{"issue":"6","key":"9605_CR37","doi-asserted-by":"publisher","first-page":"144","DOI":"10.3182\/20090616-3-IL-2002.00025","volume":"42","author":"Suat Gumussoy","year":"2009","unstructured":"Gumussoy, S., Henrion, D., Millstone, M., Overton, M.L.: Multiobjective robust control with HIFOO 2.0. In: Proceedings of 6th IFAC symposium on robust control design Haifa (2009)","journal-title":"IFAC Proceedings Volumes"},{"key":"9605_CR38","doi-asserted-by":"crossref","unstructured":"Hesthaven, J.S., Rozza, G., Stamm, B.: Certified reduced basis methods for parametrized partial differential equations. Springer (2016)","DOI":"10.1007\/978-3-319-22470-1"},{"key":"9605_CR39","doi-asserted-by":"publisher","first-page":"927","DOI":"10.1115\/1.3153815","volume":"47","author":"DJ Inman","year":"1980","unstructured":"Inman, D.J., Andry, A.N.J.: Some results on the nature of eigenvalues of discrete damped linear systems. ASME J. Appl. Mech. 47, 927\u2013930 (1980)","journal-title":"ASME J. Appl. Mech."},{"key":"9605_CR40","doi-asserted-by":"publisher","first-page":"1657","DOI":"10.1002\/eqe.2292","volume":"42","author":"Y Kanno","year":"2013","unstructured":"Kanno, Y.: Damper placement optimization in a shear building model with discrete design variables: a mixed-integer second-order cone programming approach. Earthq. Eng. Struct. Dyn. 42, 1657\u20131676 (2013)","journal-title":"Earthq. Eng. Struct. Dyn."},{"key":"9605_CR41","doi-asserted-by":"crossref","first-page":"7326","DOI":"10.1016\/j.amc.2012.01.011","volume":"218","author":"I Kuzmanovi\u0107","year":"2012","unstructured":"Kuzmanovi\u0107, I., Tomljanovi\u0107, Z., Truhar, N.: Optimization of material with modal damping. Appl. Math. Comput. 218, 7326\u20137338 (2012)","journal-title":"Appl. Math. Comput."},{"issue":"5","key":"9605_CR42","doi-asserted-by":"publisher","first-page":"585","DOI":"10.1109\/TAC.1967.1098680","volume":"12","author":"L Meier III","year":"1967","unstructured":"Meier III, L., Luenberger, D.: Approximation of linear constant systems. IEEE Trans. Autom. Control 12(5), 585\u2013588 (1967)","journal-title":"IEEE Trans. Autom. Control"},{"issue":"11","key":"9605_CR43","doi-asserted-by":"publisher","first-page":"1632","DOI":"10.1109\/9.544000","volume":"41","author":"D Meyer","year":"1996","unstructured":"Meyer, D., Srinivasan, S.: Balancing and model reduction for second-order form linear systems. IEEE Trans. Autom. Control 41(11), 1632\u20131644 (1996)","journal-title":"IEEE Trans. Autom. Control"},{"key":"9605_CR44","doi-asserted-by":"publisher","first-page":"985","DOI":"10.1093\/imanum\/drv046","volume":"36","author":"T Mitchell","year":"2016","unstructured":"Mitchell, T., Overton, M.L.: Hybrid expansion-contraction: a robust scaleable method for approximating the \u210b 8 $\\mathcal {H}_{\\infty }$ Norm. IMA J. Numer. Anal. 36, 985\u20131014 (2016)","journal-title":"IMA J. Numer. Anal."},{"key":"9605_CR45","doi-asserted-by":"crossref","unstructured":"M\u00fcller, P., Schiehlen, W.: Linear vibrations. martinus nijhoff publishers (1985)","DOI":"10.1007\/978-94-009-5047-4"},{"key":"9605_CR46","doi-asserted-by":"publisher","first-page":"1091","DOI":"10.1002\/eqe.4290180802","volume":"18","author":"B Nour-Omid","year":"1989","unstructured":"Nour-Omid, B., Regelbrugge, M.E.: Lanczos method for dynamic analysis of damped structural systems. Earthq. Eng. Struct. Dyn. 18, 1091\u20131104 (1989)","journal-title":"Earthq. Eng. Struct. Dyn."},{"issue":"5","key":"9605_CR47","doi-asserted-by":"publisher","first-page":"391","DOI":"10.1080\/13873950701844170","volume":"14","author":"T Reis","year":"2008","unstructured":"Reis, T., Stykel, T.: Balanced truncation model reduction of second-order systems. Math. Comput. Model. Dyn. Syst. 14(5), 391\u2013406 (2008)","journal-title":"Math. Comput. Model. Dyn. Syst."},{"key":"9605_CR48","doi-asserted-by":"crossref","unstructured":"Saadvandi, M., Meerbergen, K., Desmet, W.: Parametric Dominant Pole Algorithm for Parametric Model Order Reduction. Tech. rep., KU Leuven, Department of Computer Science (2013)","DOI":"10.1016\/j.cam.2013.09.012"},{"issue":"2","key":"9605_CR49","doi-asserted-by":"publisher","first-page":"260","DOI":"10.2514\/3.20636","volume":"14","author":"TJ Su","year":"1991","unstructured":"Su, T.J., Craig, Jr, R.: Model reduction and control of flexible structures using krylov vectors. J. Guid. Control. Dyn. 14(2), 260\u2013267 (1991)","journal-title":"J. Guid. Control. Dyn."},{"key":"9605_CR50","doi-asserted-by":"publisher","first-page":"1113","DOI":"10.1002\/(SICI)1096-9845(199711)26:11<1113::AID-EQE696>3.0.CO;2-X","volume":"26","author":"I Takewaki","year":"1997","unstructured":"Takewaki, I.: Optimal damper placement for minimum transfer functions. Earthq. Eng. Struct. Dyn. 26, 1113\u20131124 (1997)","journal-title":"Earthq. Eng. Struct. Dyn."},{"issue":"2","key":"9605_CR51","first-page":"201","volume":"14","author":"N Truhar","year":"2017","unstructured":"Truhar, N., Tomljanovi\u0107, Z., Puva\u010da, M.: An efficient approximation for optimal damping in mechanical systems. Int. J. Numer. Anal. Model. 14(2), 201\u2013217 (2017)","journal-title":"Int. J. Numer. Anal. Model."},{"key":"9605_CR52","doi-asserted-by":"crossref","first-page":"270","DOI":"10.1016\/j.amc.2014.10.081","volume":"250","author":"N Truhar","year":"2015","unstructured":"Truhar, N., Tomljanovi\u0107, Z., Veseli\u0107, K.: Damping optimization in mechanical systems with external force. Appl. Math. Comput. 250, 270\u2013279 (2015)","journal-title":"Appl. Math. Comput."},{"issue":"1","key":"9605_CR53","doi-asserted-by":"publisher","first-page":"18","DOI":"10.1137\/070683052","volume":"31","author":"N Truhar","year":"2009","unstructured":"Truhar, N., Veseli\u0107, K.: An efficient method for estimating the optimal dampers\u2019 viscosity for linear vibrating systems using Lyapunov equation. SIAM J. Matrix Anal. Appl. 31(1), 18\u201339 (2009)","journal-title":"SIAM J. Matrix Anal. Appl."},{"issue":"12","key":"9605_CR54","doi-asserted-by":"publisher","first-page":"1267","DOI":"10.1016\/j.aml.2007.09.015","volume":"21","author":"P Dooren Van","year":"2008","unstructured":"Van Dooren, P., Gallivan, K.: Absil, P.: \u210b 2 $\\mathcal {H}_{2}$ -optimal model reduction of MIMO systems. Appl. Math. Lett. 21(12), 1267\u20131273 (2008)","journal-title":"Appl. Math. Lett."},{"key":"9605_CR55","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-21335-9","volume-title":"Damped oscillations of linear systems. Springer Lecture Notes in Mathematics","author":"K Veseli\u0107","year":"2011","unstructured":"Veseli\u0107, K.: Damped oscillations of linear systems. Springer Lecture Notes in Mathematics. Springer, Berlin (2011)"},{"key":"9605_CR56","volume-title":"Issues in interpolatory model reduction: inexact solves, second-order systems and daes","author":"S Wyatt","year":"2012","unstructured":"Wyatt, S.: Issues in interpolatory model reduction: inexact solves, second-order systems and daes. Dissertation, Virginia Polytechnic Institute and State University, Blacksburg (2012)"},{"key":"9605_CR57","volume-title":"Robust and optimal control","author":"K Zhou","year":"1996","unstructured":"Zhou, K., Doyle, J., Glower, K.: Robust and optimal control. Prentice Hall, Upper Saddle River (1996)"},{"key":"9605_CR58","doi-asserted-by":"publisher","first-page":"643","DOI":"10.1016\/j.aml.2013.01.006","volume":"26","author":"Y Yue","year":"2013","unstructured":"Yue, Y., Meerbergen, K.: Parametric model order reduction of damped mechanical systems via the block Arnoldi process. Appl. Math. Lett. 26, 643\u2013648 (2013)","journal-title":"Appl. Math. Lett."},{"issue":"2","key":"9605_CR59","doi-asserted-by":"publisher","first-page":"1344","DOI":"10.1137\/120869171","volume":"23","author":"Y Yue","year":"2013","unstructured":"Yue, Y., Meerbergen, K.: Accelerating optimization of parametric linear systems by model order reduction . SIAM J. Optim. 23(2), 1344\u20131370 (2013)","journal-title":"SIAM J. Optim."}],"container-title":["Advances in Computational Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10444-018-9605-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-018-9605-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-018-9605-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,10,31]],"date-time":"2020-10-31T13:42:59Z","timestamp":1604151779000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10444-018-9605-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,4,11]]},"references-count":59,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2018,12]]}},"alternative-id":["9605"],"URL":"https:\/\/doi.org\/10.1007\/s10444-018-9605-9","relation":{},"ISSN":["1019-7168","1572-9044"],"issn-type":[{"type":"print","value":"1019-7168"},{"type":"electronic","value":"1572-9044"}],"subject":[],"published":{"date-parts":[[2018,4,11]]},"assertion":[{"value":"3 July 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"2 April 2018","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"11 April 2018","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}