{"main_file_link":[{"url":"https://www.sciencedirect.com/science/article/pii/S0096300315016100"}],"year":"2016","volume":277,"page":"10-22","publication":"Applied Mathematics and Computation","publisher":"Elsevier","publication_identifier":{"issn":[" 0096-3003"]},"status":"public","date_updated":"2025-02-06T09:58:22Z","type":"journal_article","author":[{"full_name":"Qin, Xiaolin","first_name":"Xiaolin","last_name":"Qin"},{"full_name":"Tang, Juan","last_name":"Tang","first_name":"Juan"},{"first_name":"Yong","last_name":"Feng","full_name":"Feng, Yong"},{"full_name":"Bachmann, Bernhard","id":"33931","orcid":"0000-0002-4339-0438","orcid_put_code_url":"https://api.orcid.org/v2.0/0000-0002-4339-0438/work/102900429","last_name":"Bachmann","first_name":"Bernhard"},{"full_name":"Fritzson, Peter","first_name":"Peter","last_name":"Fritzson"}],"date_created":"2021-11-09T13:00:49Z","user_id":"33980","doi":"10.1016/j.amc.2015.11.091","publication_status":"published","intvolume":"       277","citation":{"chicago":"Qin, Xiaolin, Juan Tang, Yong Feng, Bernhard Bachmann, and Peter Fritzson. “Efficient Index Reduction Algorithm for Large Scale Systems of Differential Algebraic Equations.” <i>Applied Mathematics and Computation</i> 277 (2016): 10–22. <a href=\"https://doi.org/10.1016/j.amc.2015.11.091\">https://doi.org/10.1016/j.amc.2015.11.091</a>.","short":"X. Qin, J. Tang, Y. Feng, B. Bachmann, P. Fritzson, Applied Mathematics and Computation 277 (2016) 10–22.","bibtex":"@article{Qin_Tang_Feng_Bachmann_Fritzson_2016, title={Efficient index reduction algorithm for large scale systems of differential algebraic equations}, volume={277}, DOI={<a href=\"https://doi.org/10.1016/j.amc.2015.11.091\">10.1016/j.amc.2015.11.091</a>}, journal={Applied Mathematics and Computation}, publisher={Elsevier}, author={Qin, Xiaolin and Tang, Juan and Feng, Yong and Bachmann, Bernhard and Fritzson, Peter}, year={2016}, pages={10–22} }","ama":"Qin X, Tang J, Feng Y, Bachmann B, Fritzson P. Efficient index reduction algorithm for large scale systems of differential algebraic equations. <i>Applied Mathematics and Computation</i>. 2016;277:10-22. doi:<a href=\"https://doi.org/10.1016/j.amc.2015.11.091\">10.1016/j.amc.2015.11.091</a>","apa":"Qin, X., Tang, J., Feng, Y., Bachmann, B., &#38; Fritzson, P. (2016). Efficient index reduction algorithm for large scale systems of differential algebraic equations. <i>Applied Mathematics and Computation</i>, <i>277</i>, 10–22. <a href=\"https://doi.org/10.1016/j.amc.2015.11.091\">https://doi.org/10.1016/j.amc.2015.11.091</a>","alphadin":"<span style=\"font-variant:small-caps;\">Qin, Xiaolin</span> ; <span style=\"font-variant:small-caps;\">Tang, Juan</span> ; <span style=\"font-variant:small-caps;\">Feng, Yong</span> ; <span style=\"font-variant:small-caps;\">Bachmann, Bernhard</span> ; <span style=\"font-variant:small-caps;\">Fritzson, Peter</span>: Efficient index reduction algorithm for large scale systems of differential algebraic equations. In: <i>Applied Mathematics and Computation</i> Bd. 277, Elsevier (2016), S. 10–22","ieee":"X. Qin, J. Tang, Y. Feng, B. Bachmann, and P. Fritzson, “Efficient index reduction algorithm for large scale systems of differential algebraic equations,” <i>Applied Mathematics and Computation</i>, vol. 277, pp. 10–22, 2016.","mla":"Qin, Xiaolin, et al. “Efficient Index Reduction Algorithm for Large Scale Systems of Differential Algebraic Equations.” <i>Applied Mathematics and Computation</i>, vol. 277, Elsevier, 2016, pp. 10–22, doi:<a href=\"https://doi.org/10.1016/j.amc.2015.11.091\">10.1016/j.amc.2015.11.091</a>."},"abstract":[{"lang":"eng","text":"In many mathematical models of physical phenomenons and engineering fields, such as electrical circuits or mechanical multibody systems, which generate the differential algebraic equations (DAEs) systems naturally. In general, the feature of DAEs is a sparse large scale system of fully nonlinear and high index. To make use of its sparsity, this paper provides a simple and efficient algorithm for index reduction of large scale DAEs system. We exploit the shortest augmenting path algorithm for finding maximum value transversal (MVT) as well as block triangular forms (BTFs). We also present the extended signature matrix method with the block fixed point iteration and its complexity results. Furthermore, a range of nontrivial problems are demonstrated by our algorithm."}],"title":"Efficient index reduction algorithm for large scale systems of differential algebraic equations","_id":"1492","language":[{"iso":"eng"}]}