研究成果列表
單位名稱應用數學系教師姓名翁章譯
教師分級助理教授專兼任專任
在校狀態在職行政職務

期刊論文（共計19筆）
序號學年度學期年度月份作者題目通訊作者作者順位期刊名稱卷數頁數關鍵字
1114120258P.C.-Y. WengThe refining estimates of invariant subspaces through projected nonsymmetric algebraic Riccati equations in high dimensionality reduction and image compression是第一順位Taiwanese Journal of Mathematics12 11-20 High dimensionality reduction, high-resolution image compression, large-scale problem, invariant subspace 
21131202410P.C.-Y. Weng and F.K.-H. PhoaA refinement of approximate invariant subspaces of matrices based on SVD in high dimensionality reduction and image compression是第一順位Taiwanese Journal of Mathematics28 877-912 refinement of approximate invariant subspace, singular value decomposition, high dimensionality reduction, high-resolution image compression 
3113120248P.C.-Y. WengA structure-preserving doubling algorithm for the quadratic matrix equation with M-matrix是第一順位Annals of Mathematical Sciences and Applications9 367-404 structure-preserving doubling algorithm, M-matrix, quadratic matrix equation, numerically low-ranked solution, overdamped vibrating system 
4110120218P.C.-Y. WengSolving large-scale nonsymmetric algebraic Riccati equations from two-dimensional transport models by doubling 是第一順位Journal of Computational and Applied Mathematics391 113447 Doubling algorithm;Krylov subspace;M-matrix;Nonsymmetric algebraic Riccati equation;Transport theory 
5109220212P.C.-Y. Weng and F.K.-H. PhoaPerturbation analysis and condition numbers of rational Riccati Equations是第一順位Annals of Mathematical Sciences and Applications6 25-49 Rational Riccati equation;Perturbation bound;Mixed condition number;Componentwise perturbation analysis;Stochastic optimal control 
61091202010P.C.-Y. WengSolving two generalized nonlinear matrix equations是第一順位Journal of Applied Mathematics and Computing66 543-559 Generalized nonlinear matrix equations;Newton’s method;Maximal and minimal Hermitian positive definite solutions;Generalized Smith method 
7108220207P.C.-Y. WengPerturbation analysis of rational Riccati equations是第一順位Annals of Mathematical Sciences and Applications5 349-373 Rational Riccati equation;perturbation bound;mixed condition number;componentwise perturbation analysis;stochastic optimal control 
8108220204P.C.-Y. Weng and F.K.-H. PhoaPerturbation Analysis of Linear Dynamical System是第一順位Advances in Pure Mathematics10 155-173 Continuous-Time Linear Time-Invariant System;Condition Number;Perturbation Bound;Riccati Differential Equation 
91061201712P.C.-Y. Weng and F.K.-H. PhoaCalibrating linear continuous-time dynamical systems via perturbation analysis是第一順位Filomat32 20-31 Linear dynamical system;perturbation analysis;Riccati differential equation;algebraic Riccati equations;Riccati difference equation 
10104120161H.Y. Fan, P.C.-Y. Weng, E.K.-w. ChuNumerical solution to generalized Lyapunov, Stein and rational Riccati equations in stochastic control是第二順位Numerical Algorithms 71 245-272 Algebraic Riccati equation;Bilinear model order reduction;Generalized Lyapunov equation;Generalized Stein equation;Large-scale problem;Newton’s method 
11104120161P.C.-Y. Weng, F.K.-H. PhoaSmall-sample statistical condition estimation of large-scale generalized eigenvalue problems是第一順位Journal of Computational and Applied Mathematics 298 24-39 Statistical condition estimation;Generalized eigenvalue problem;Deflating subspace;Large-scale problem;Sylvester equation;Newton’s method 
12103120151E.K.-w. Chu, P.C.-Y. WengLarge-scale discrete-time algebraic Riccati equations- Doubling algorithm and error analysis是第二順位Journal of Computational and Applied Mathematics277 115-126 Discrete-time algebraic Riccati equation;Doubling algorithm;Large-scale problem 
13102220143H.Y. Fan, P.C.-Y. Weng, E.K.-w. ChuRefining estimates of invariant and deflating subspaces for large and sparse matrices and pencils是第二順位BIT Numerical Mathematics32 20-31 Deflating subspace;Invariant subspace;Large-scale problem;Newton’s method;Nonsymmetric algebraic Riccati equation;Sparse matrix;Sylvester equation  
141021201310T. Li, P.C.-Y. Weng, E.K.-w. Chu, W.W. LinLarge-scale Stein and Lyapunov equations, Smith method, and applications否第二順位Numerical Algorithms63 727-752 Krylov subspace;Lyapunov equation;Smith method;Stein equation 
15102120138P.C.-Y. Weng, E.K.-w. Chu, Y.C. Kuo, W.W. LinSolving large-scale nonlinear matrix equations by doubling否第一順位Linear Algebra and its Applications439 914-932 Doubling algorithm;Green’s function;Krylov subspace;Leaky surface wave;Nano research;Nonlinear matrix equation;Surface acoustic wave 
16101220135T. Li, E.K.-w. Chu, W.W. Lin, P.C.-Y. WengSolving large-scale continuous-time algebraic Riccati equations by doubling否其他Journal of Computational and Applied Mathematics237 373-383 Continuous-time algebraic Riccati equation;Doubling algorithm;Krylov subspace;Large-scale problem 
171011201211C.Y. Chiang, E.K.-w. Chu, C.Y. WengA note on unimodular eigenvalues for palindromic eigenvalue problems否第三順位International Journal of Computer Mathematics89 2385-2391 palindromic eigenvalue problem, structure-preserving doubling algorithm, unimodular eigenvalue 
181011201210P.C.-Y. Weng, H.Y. Fan, E.K.-w. ChuLow-rank approximation to the solution of a nonsymmetric algebraic Riccati equation from transport theory否第一順位Applied Mathematics and Computation219 729-740 Doubling algorithm;Krylov subspace;M-matrix;Nonsymmetric algebraic Riccati equation 
19100220122E.K.-w. Chu, C.S. Wang, C.Y. Weng, C.C. Yen Conditioning of state feedback pole assignment problems否第三順位Taiwanese Journal of Mathematics16 283-304 Condition number, Perturbation, Pole assignment, Stabilization, Jordan form, Kronecker form, State feedback. 

會議論文（共計2筆）
序號學年度學期年度月份作者題目通訊作者作者順位發表性質會議論文集或研討會名稱地點
1103220157P.C.-Y. Weng, F.K.-H. Phoa and Y.S. ChangA general attribute diffusion mechanism on social networks否第一順位書面發表Proceedings of the World Congress on Engineering 2015 London, U.K. 
2099220113E.K.w. Chu, T. Li, W.W. Lin and C.Y. WengA modified Newton method for rational Riccati equations arising in stochastic control否其他書面發表Proc. IEEE CCCA 2011 Tunis, Tunisia 

專書著作（共計1筆）
序號學年度學期年度月份作者書名出版社國際標準書號
1104220166F.K.-H. Phoa, P.C.-Y. Weng, Y.S. ChangA mathematical model on the propagation of node attributes on a social networkWorld Scientific978-981-3142-71-8 

研究計畫（共計3筆）
備註欄說明：「教師研究計畫管理系統轉入之計畫」（係指依「國立嘉義大學產學合作計畫實施要點」第3點規定，與政府機關、法人、公民營事業機構、民間團體、學術研究機構等合作辦理有關事項，以本校名義與合作機構辦理簽約，其經費撥入本校之產學合作計畫。)
序號學年度學期年度月份參與性質委辦單位計畫名稱開始日期結束日期經費備註欄
11141202508計畫主持人國家科學及技術委員會利用細緻的分解與優化結合大型矩陣的不變子空間應用在高解析度影像壓縮與高維度的降維2025/08/012026/07/31446,000教師研究計畫管理系統轉入之計畫
21131202408計畫主持人國家科學及技術委員會利用廣義史密斯方法計算大型非對稱代數黎卡迪方程式的數值解2024/08/012025/07/31514,000教師研究計畫管理系統轉入之計畫
31112202307計畫主持人國家科學及技術委員會基於大型矩陣不變子空間的計算結合奇異值分解法著重在影像壓縮與高維度降維之應用2023/07/012024/07/31393,000教師研究計畫管理系統轉入之計畫

學術活動（共計22筆）
序號學年度學期年度月份活動分類活動名稱活動地點/期刊學報/比賽名稱
1113220256出席國內研討會13th TWSIAM Annual MeetingNational Tsing Hua University 
2113220256出席國際研討會The 26th Conference of the International Linear Algebra SocietyNational Sun Yat-sen University 
3113120248出席國內研討會2024 NCTS Workshop on Computational Mathematics and Scientific ComputingNational Sun Yat-sen University 
4112220246出席國際研討會The 17th East Asia SIAM ConferenceUniversity of Macao 
5111220237出席國內研討會2023 NCTS South Taiwan Workshop on Scientific Computing, Differential Equations and ApplicationsNational Chung Cheng University 
6107120189出席國內研討會The 27th South Taiwan Statistics ConferenceNational Cheng Kung University 
7106220186出席國際研討會The 13th East Asia SIAM ConferenceThe University of Tokyo, Japan 
8106220185出席國際研討會 SIAM Conference on Applied Linear AlgebraHong Kong Baptist University, Hong Kong 
9106220184出席國內研討會2018 South Taiwan Workshop on Computational Mathematics and Analysis ApplicationsNational Cheng Kung University 
101061201712出席國內研討會The Annual Meeting of the Taiwanese Mathematical SocietyNational Chiayi University, Taiwan 
111061201711出席國際研討會The 3rd International Conference on Fuzzy Systems and Data MiningNational Dong Hwa University 
12105220176出席國際研討會The 12th East Asia SIAM ConferenceSeoul National University, Korea 
13105220175出席國內研討會5th TWSIAM Annual MeetingNational Chengchi University 
141051201612出席國內研討會2016 CSA,NCCU Joint Statistical MeetingsNational Chengchi University 
15104220166出席國際研討會The 11th East Asia SIAM ConferenceUniversity of Macau, China 
16104120161出席國際研討會ISI-ISM-ISSAS Joint Conference 2016Institute of Statistical Science, Academia Sinica 
171041201512出席國內研討會The Annual Meeting of the Taiwanese Mathematical SocietyNational University of Kaohsiung, Taiwan 
18103220156出席國際研討會Sunbelt XXXV International Sunbelt Social Network ConferenceHilton Metropole, Brighton, UK 
191031201412出席國際研討會International Statistical Symposium CSA-KSS-JSS Special Invited SessionsNational Yang Ming Chiao Tung University 
20103120148出席國際研討會The 19th International Linear Algebra Society ConferenceSeoul, Korea 
21100220126出席國際研討會SIAM Conference on Applied Linear AlgebraValencia, Spain 
221001201112出席國內研討會Mathematical Conference and Annual Meeting of the Taiwan Mathematical SocietyChung Yuan Christian University 

推廣工作（共計11筆）
序號學年度學期年度月份推廣類別推廣名稱推廣地點
11141202510演講國立中正大學數學系學術演講國立中正大學數學系 
2113220257其他擔任國立成功大學應用數學所碩士生林國陽碩士論文口試委員國立成功大學應用數學所  
31131202410演講國立中央大學數學系學術演講國立中央大學數學系 
4113120248其他擔任＜The Journal of Supercomputing＞期刊論文審查委員 
5112220247其他擔任國立成功大學應用數學所碩士生蔡文斌碩士論文口試委員國立成功大學應用數學所 
6112120241其他擔任國立成功大學應用數學所碩士生陳柏穎碩士論文口試委員國立成功大學應用數學所 
71121202310演講國立高雄大學統計學研究所學術演講國立高雄大學統計學研究所 
8111220233其他擔任＜SIAM Journal on Matrix Analysis and Applications＞期刊論文審查委員 
9105220174演講國立高雄大學統計學研究所學術演講國立高雄大學統計學研究所 
10104220165演講國立中山大學應用數學系學術演講國立中山大學應用數學系 
111031201411演講中央研究院統計科學研究所學術演講中央研究院統計科學研究所