CHIANG,CHUN-YUEH
Name CHIANG,CHUN-YUEH
Job Title Professor
Education Ph.D. in Mathematics, National Tsing Hua University
Email
Tel +886-5- 631-5849
Research Expertise Matrix Analysis and Computation, Numerical Analysis, Computational Mathematics
Office ATC0506-2
Country School Name Department Degree
國立清華大學 數學系 博士
清華大學 數學系應用數學組 碩士
東海大學 數學系 學士
Year Paper Title
2026 Geometric spectral separation and algebraic dichotomy for critical Stein matrix equations, arxiv, Apr. 2026
2025 On the existence of extremal solutions for the conjugate discrete-time Riccati equation, Linear and Multilinear Algebra, pp. 3544-3572, Oct. 2025
2024 Four extremal solutions of discrete-time algebraic Riccati equations: existence theorems and computation, Japan Journal of Industrial and Applied Mathematics, pp. 1593-1627, Sep. 2024
2024 Inheritance properties of the conjugate discrete-time algebraic Riccati equation, Linear Algebra and Its Applications, pp. 71-97, Feb. 2024
2023 On the maximal solution of the conjugate discrete-time algebraic Riccati equation, Applied Mathematics Letters, Jan. 2023
2021 An efficient iteration for the extremal solutions of discrete-time algebraic Riccati equations, arxiv preprint, Nov. 2021
2021 The convergence analysis of an accelerated iteration for solving algebraic Riccati equations, Journal of the Franklin Institute, pp. 619-636, Nov. 2021
2021 On the semigroup property for some structured iterations, Journal of Computational and Applied Mathematics, pp. 112768-, Aug. 2021
2019 Riemannian Inexact Newton Method for Structured Inverse Eigenvalue and Singular Value Problems, BIT Numerical Mathematics, pp. 675–694-, May. 2019
2018 An accelerated technique for solving one type of discrete-time algebraic Riccati equations, Journal of Computational and Applied Mathematics, pp. 91-110, Aug. 2018
2018 An iterative method for solving the stable subspace of a matrix pencil and its application, Linear and Multilinear Algebra, pp. 1279-1298, Jun. 2018
2017 An accelerated technique for solving the positive definite solutions of a class of nonlinear matrix equations , Journal of the Franklin Institute: Engineering and Applied Mathematics, pp. pp.7088- -7118-, Oct. 2017
2016 On the Sylvester-like matrix equation $AX+f(X)B=C$, JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS , pp. 1061-1074, Mar. 2016
2015 A note on Sylvester-type equations., JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS., pp. 2171-2186, May. 2015
2014 On the solution of the linear matrix equation $X=Af(X)B+C$, Applied Mathematics and Computation, pp. 925-935, Oct. 2014
2013 The Eigenvalue Shift Technique and Its Eigenstructure Analysis of a Matrix, Journal of Computational and Applied Mathematics, pp. 235-248, Dec. 2013
2013 Perturbation analysis of the stochastic algebraic Riccati equation, JOURNAL OF INEQUALITIES AND APPLICATIONS, pp. 1-22, Nov. 2013
2013 A note on the $\top$-Stein matrix equation, Abstract and Applied Analysis, pp. 1-8, Aug. 2013
2013 The Shift Techniques for a Nonsymmetric Algebraic Riccati Equation, Applied Mathematics and Computation, pp. 5083-5095, May. 2013
2013 Residual bounds of the stochastic algebraic Riccati equation, Applied Numerical Mathematics, pp. 78-87, Jan. 2013
2012 A Note on Unimodular Eigenvalues for Palindromic Eigenvalue Problems , International Journal of Computer Mathematics, pp. 2385-2391, Nov. 2012
2012 ON THE *-SYLVESTER EQUATION AX ± X*B* = C, Applied Mathematics and Computation, pp. pp.8393--8407-, May. 2012
2010 A structured doubling algorithm for discrete-time algebraic Riccati equations with singular control weighting matrices, Taiwanese Journal of Mathematics, pp. 933-954, Jun. 2010
2010 A Note on Golden Means, Nonlinear Matrix Equations and Structured Doubling Algorithms, Taiwanese Journal of Mathematics, pp. 955-972, Jun. 2010
2009 The Palindromic Generalized Eigenvalue Problem A*x = lambda Ax: Numerical Solution and Applications, Linear Algebra and its Applications, pp. 2269-2284, Nov. 2009
2008 Convergence Analysis of the Doubling Algorithm for Several Nonlinear Matrix Equations in the Critical Case , SIAM J. on Matrix Analysis and Applications, vol. 31, pp. pp.227--247-, Mar. 2008
Year Paper Title
2026 Chun-Yueh Chiang, Geometric spectral separation and algebraic dichotomy for critical Stein matrix equations, The 19th SIAM East Asian Section Conference, Aug. 27, 2026, KOR南韓
2025 Chun-Yueh Chiang, Ten Hermitian solutions of anti-Riccati matrix equation arising in anti-LQR problem, 2025 The 26th Conference of the International Linear Algebra Society, Jun. 25, 2025, TWN臺灣
2025 Chun-Yueh Chiang, Some meaningful Hermitian solutions of anti-Riccati matrix equation arising in anti-LQR problem, 2025 TWSIAM Annual Meeting, Jun. 08, 2025, TWN臺灣
2024 Chun-Yueh Chiang, Some equilibrium Hermitian so lutions of the conjugate discrete- time algebraic Riccati equation, The 17th SIAM East Asian Section Conference (EASIAM 2024), Jun. 29, 2025 ~ Jun. 29, 2024, MAC澳門
2024 Chun-Yueh Chiang, Some equilibrium Hermitian so lutions of the conjugate discrete- time algebraic Riccati equation, The 17th SIAM East Asian Section Conference (EASIAM 2024), Jun. 28-Jul. 01, 2024, MAC澳門
2024 Chun-Yueh Chiang, On the LQR problem for discrete-time antilinear systems: an ADARE approach, 2024 NCTS 南區科學計算、微分方程與應用研討會(2024 NCTS South Taiwan Workshop on Scientific Computing, Differential Equations and Applications), Mar. 30, 2024, TWN臺灣
2024 Chun-Yueh Chiang*, On the LQR problem for discrete-time antilinear systems: an ADARE approach, 2024 NCTS 南區科學計算、微分方程與應用研討會(2024 NCTS South Taiwan Workshop on Scientific Computing, Differential Equations and Applications), Mar. 30, 2024, TWN臺灣
2023 Chun-Yueh Chiang, Four extreme solutions of the conjugate discrete-time algebraic Riccati equation., 2023 NCTS Workshop on Computational Mathematics and Scientic Computing for Young Researchers, Aug. 31, 2023, TWN臺灣
2023 Chun-Yueh Chiang, Four extreme solutions of the conjugate discrete-time algebraic Riccati equation., 2023 NCTS Workshop on Computational Mathematics and Scientific Computing for Young Researchers(2023 計算數學薪傳及新苗研討會暨應用數學教育策略座談會), Aug. 31-Sep. 01, 2023, TWN中華民國(臺灣)
2023 Chun-Yueh Chiang, Recent advances on the conjugate discrete-time algebraic Riccati equation, 2023 10th International Congress on Industrial and Applied Mathematics, Aug. 23, 2023, JPN日本
2023 Chun-Yueh Chiang, Recent advances on the conjugate discrete-time algebraic Riccati equation, 2023 10th International Congress on Industrial and Applied Mathematics, Aug. 19-26, 2023, JPN日本
2023 Chun-Yueh Chiang, On the maximal solution of the conjugate discrete-time algebraic Riccati equation., 2023 NCTS 南區科學計算、微分方程與應用研討會(2023 NCTS South Taiwan Workshop on Scientific Computing, Differential Equations and Applications), Jul. 21-22, 2023, TWN中華民國(臺灣)
2023 Chun-Yueh Chiang, Recent advances in the conjugate discrete-time algebraic Riccati equation, 2023 第31屆微分方程及相關領域年會 (2023 The 31st Annual Meeting on Differential Equations and Related Topics), Feb. 17-18, 2023, TWN中華民國(臺灣)
2022 Chun-Yueh, Chiang, Recent advances in the conjugate discrete-time algebraic Riccati equation, Opportunities and Challenges in Numerical Algebra(14) , Nov. 26, 2022, TWN中華民國(臺灣)
2022 Chun-Yueh Chiang, An efficient iteration for the extremal solutions of discrete-time algebraic Riccati equations, 2021中華民國數學年會(2021 TMS Annual Meeting), Jan. 17, 2022, TWN臺灣
2022 Chun-Yueh Chiang, An efficient iteration for solving the extremal solutions of discrete-time algebraic Riccati equations, 2021中華民國數學年會(2021 TMS Annual Meeting), Jan. 17-18, 2022, TWN中華民國(臺灣)
2019 Chun-Yueh Chiang, An accelerated technique for solving one type of continuous-time algebraic Riccati equations arising from palindromic eigenvalue problems, 2019 NMSP Numerical methods for spectral problems, Aug. 31-Sep. 05, 2019, JPN日本
2019 An accelerated technique for solving some quadratic matrix equations, The 14th East Asia SIAM Conference and the 7th Conference on Industrial and Applied Mathematics, Jun. 13-19, 2019, CHN大陸地區(大陸)
2019 Chun-Yueh, Chiang, An accelerated technique for solving some structure matrix equations, 2019南區科學計算、微分方程與應用研討會, Feb. 15, 2019, TWN中華民國(臺灣)
2018 Chun-Yueh Chiang*, On the semigroup property for some structured iterations, The 13th East Asia SIAM Conference and the 6th Conference on Industrial and Applied Mathematics, Jun. 22-25, 2018, JPN日本
2018 Matthew M. Lin and Chun-Yueh Chiang*, An accelerated technique for solving one type of discrete-time algebraic Riccati equations, 2018南區科學計算、微分方程與應用研討會, Feb. 03, 2018, TWN中華民國(臺灣)
2017 Matthew M.~Lin and Chun-Yueh Chiang*, An iterative method for solving the stable subspace of a matrix pencil and its application, The 12th East Asia SIAM Conference and the 5th Conference on Industrial and Applied Mathematics, Jun. 22-25, 2017, KOR大韓民國(南韓)
2017 Chiang, Chun-Yueh, An iterative method for solving the stable subspace of a matrix pencil and its application, 2017南區科學計算、微分方程與應用研討會, Feb. 18, 2017, TWN中華民國(臺灣)
2016 Chiang, Chun-Yueh, On a class of nonlinear matrix equations $X\pm A^{\small H}f(X)^{-1}A=Q$ , The 11th East Asia SIAM Conference and the 4nd Conference on Industrial and Applied Mathematics, Jun. 20-22, 2016, MAC澳門
2016 Chun-Yueh Chiang, On a class of nonlinear matrix equations $X\pm A^{\small H}f(X)^{-1}A=Q$, 2016 NCTS 計算數學薪傳及新苗研討會, Mar. 18-19, 2016, TWN中華民國(臺灣)
2015 C.-Y. Chiang, On the Sylvester-type equations $AX+f(X)B=C$, 2015 南區科學計算與應用研討會(2014 South Taiwan Workshop on Scientific Computing and Applications)。 , Mar. 07, 2015, TWN中華民國(臺灣)
2014 Chun-Yueh Chiang, A note on Sylvester-type equations, The 19th International Linear Algebra Society Conference (ILAS2014), Aug. 06-09, 2014, KOR大韓民國(南韓)
2013 Chun-Yueh Chiang, On the solution of the linear matrix equation $X=Af(X)B+C$, 2013年中華民國數學會年會暨數學學術研討會, Dec. 07-09, 2013, TWN中華民國(臺灣)
2013 Chun-Yueh Chiang, The Eigenvalue Shift Technique of a Matrix : Method and Theory, The 9th East Asia SIAM Conference and the 2nd Conference on Industrial and Applied Mathematics , Jun. 18-20, 2013, IDN印度尼西亞共和國
2012 Chun-Yueh Chiang* and Matthew M. Lin, A doubling algorithm with shift for solving a nonsymmetric algebraic Riccati equation, 2012 SIAM Conference on Applied Linear Algebra, Jun. 18-22, 2012, ESP西班牙王國(西班牙)
2011 C.-Y. Chiang and Matthew M. Lin, The Shifting Technique for Computing the Extreme Solutions of $X + A^\top X^{-1} A = Q$, 9th Philippines-Taiwan Sym- posium on Analysis, Oct. 24-26, 2011, PHL菲律賓共和國
Project Category Year Project Title Job Title Period
政府學術研究計畫-科技部專題研究計畫 2027 針對廣義臨界奇異兩類矩陣方程之高效數值演算法研究:結合幾何譜分離與代數頻譜二分策略 主持人 2027.08 ~ 2028.07
政府學術研究計畫-科技部專題研究計畫 2026 針對廣義臨界奇異兩類矩陣方程之高效數值演算法研究:結合幾何譜分離與代數頻譜二分策略 主持人 2026.08 ~ 2027.07
政府學術研究計畫-科技部專題研究計畫 2026 針對廣義臨界奇異兩類矩陣方程之高效數值演算法研究:結合幾何譜分離與代數頻譜二分策略 主持人 2026.08 ~ 2027.07
政府學術研究計畫-科技部專題研究計畫 2025 113年度【離散型反置線性系統的LQR問題:以ADARE方式求解】 主持人 2025.08 ~ 2026.10
政府學術研究計畫-科技部專題研究計畫 2024 113年度【離散型反置線性系統的LQR問題:以ADARE方式求解】 主持人 2024.08 ~ 2025.10
政府學術研究計畫-科技部專題研究計畫 2023 科技部111年度【數類超線性迭代法求解T型黎卡迪矩陣方程】 主持人 2023.08 ~ 2024.10
政府學術研究計畫-科技部專題研究計畫 2022 科技部111年度【數類超線性迭代法求解T型黎卡迪矩陣方程】 主持人 2022.08 ~ 2023.10
政府其他案件 2022 111年度教育部補助「校園心理健康促進計畫」 主持人 2022.01 ~ 2022.12
政府學術研究計畫-科技部專題研究計畫 2021 科技部109年度 【 一類代數黎卡迪矩陣方程的學習 】2年期 主持人 2021.08 ~ 2022.10
政府學術研究計畫-科技部專題研究計畫 2020 科技部109年度 【 一類代數黎卡迪矩陣方程的學習 】2年期 主持人 2020.08 ~ 2021.10
政府學術研究計畫-科技部專題研究計畫 2019 科技部108年度 【 一類代數黎卡迪方程在臨界狀況下的數值行為 】 主持人 2019.08 ~ 2020.07
政府學術研究計畫-科技部專題研究計畫 2018 科技部107年度 【 一類加速方式來求解一型非線性矩陣方程 】 主持人 2018.08 ~ 2019.07
政府學術研究計畫-科技部專題研究計畫 2017 科技部106年度 【 一類多點迭代法及對解矩陣p次方根的應用】 主持人 2017.08 ~ 2018.07
政府學術研究計畫-科技部專題研究計畫 2016 科技部105年度 【 一類非線性矩陣方程的改良迭代解 】學門名稱:矩陣計算及應用 主持人 2016.08 ~ 2017.07
政府學術研究計畫-國科會專題研究計畫 2015 科技部104年度 【 張量代數中的若干結構矩陣方程求解 】(學門名稱:矩陣計算及應用) 主持人 2015.08 ~ 2016.07
校內補助案 2014 103年鼓勵性計畫【高維度下的矩陣方程求解】 主持人 2014.08 ~ 2015.07
政府學術研究計畫-國科會專題研究計畫 2013 國科會102年度 【 解二次矩陣方程的轉移方法之數值分析 】 主持人 2013.08 ~ 2014.07
政府學術研究計畫-國科會專題研究計畫 2012 國科會101年度 【 矩陣方程的轉移數值算法 】 主持人 2012.08 ~ 2013.07
政府學術研究計畫-國科會專題研究計畫 2011 廣義黎卡迪方程的數值計算方法與擾動分析 主持人 2011.08 ~ 2012.07
政府學術研究計畫-國科會專題研究計畫 2010 迴文式廣義特徵值問題之研究 主持人 2010.11 ~ 2011.07
政府其他案件 2010 99年度中區技職校院區域教學資源中心計畫-精進技職生微積分學習成效之教學計劃 共同(協同)主持人 2010.05 ~ 2011.04
政府學術研究計畫-國科會專題研究計畫 2009 迴文式廣義特徵值問題之研究 主持人 2009.11 ~ 2011.07