Approaches and numerical algorithms for reducing the order of mathematical models of multidimensional dynamical systems that are based on the Krylov's subspaces method are described. To calculate matrices representing the reduced models in the state space, Lanczos' and Arnoldi's methods are used. Practical examples of the reduction of large-scale systems are presented.
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China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R ChinaChina Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China
Li, Ke
Wu, Gang
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China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R ChinaChina Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China
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China Univ Min & Technol, State Key Lab Intelligent Construct & Hlth Operat, Xuzhou 221116, Peoples R ChinaChina Univ Min & Technol, State Key Lab Intelligent Construct & Hlth Operat, Xuzhou 221116, Peoples R China
Lu, Kailiang
Yue, Jianhua
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China Univ Min & Technol, Sch Resources & Geosci, Xuzhou 221116, Peoples R ChinaChina Univ Min & Technol, State Key Lab Intelligent Construct & Hlth Operat, Xuzhou 221116, Peoples R China
Yue, Jianhua
Zhou, Jianmei
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Changan Univ, Coll Geol Engn & Geomat, Xian 710054, Peoples R ChinaChina Univ Min & Technol, State Key Lab Intelligent Construct & Hlth Operat, Xuzhou 221116, Peoples R China
Zhou, Jianmei
Fan, Ya'Nan
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China Univ Min & Technol, State Key Lab Intelligent Construct & Hlth Operat, Xuzhou 221116, Peoples R ChinaChina Univ Min & Technol, State Key Lab Intelligent Construct & Hlth Operat, Xuzhou 221116, Peoples R China
Fan, Ya'Nan
Fan, Kerui
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Shandong Univ Sci & Technol, Coll Civil Engn & Architecture, Qingdao 266590, Peoples R ChinaChina Univ Min & Technol, State Key Lab Intelligent Construct & Hlth Operat, Xuzhou 221116, Peoples R China
Fan, Kerui
Li, He
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Hebei GEO Univ, Key Lab Intelligent Detect & Equipment Underground, Minist Nat Resources, Shijiazhuang 050030, Peoples R ChinaChina Univ Min & Technol, State Key Lab Intelligent Construct & Hlth Operat, Xuzhou 221116, Peoples R China
Li, He
Li, Xiu
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Changan Univ, Coll Geol Engn & Geomat, Xian 710054, Peoples R ChinaChina Univ Min & Technol, State Key Lab Intelligent Construct & Hlth Operat, Xuzhou 221116, Peoples R China