| 姓名 | 蔣俊岳 |
|---|---|
| 英文姓名 | CHIANG,CHUN-YUEH |
| 職稱 | 教授 |
| 學歷 | 國立清華大學數學系博士 |
| 電子郵件 | |
| 連絡電話 | (05) 631-5849 |
| 專長領域 | 矩陣分析及計算、數值分析、計算數學 |
| 研究室 | 三期大樓 ATC0506-2 |
| 國家 | 學校名稱 | 系所 | 學位 |
|---|---|---|---|
| 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 |
| 年度 | 論文名稱 |
|---|---|
| 2026 | Chun-Yueh Chianga∗, Geometric spectral separation and algebraic dichotomy for critical Stein matrix equations, arxiv, Apr. 2026 |
| 2025 | Chun-Yueh Chiang, On the existence of extremal solutions for the conjugate discrete-time Riccati equation, Linear and Multilinear Algebra, pp. 3544-3572, Oct. 2025 |
| 2024 | Chun-Yueh Chiang and Hung-Yuan Fan*, 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 | Chiang, Chun-Yueh(1); Fan, Hung-Yuan(2), Inheritance properties of the conjugate discrete-time algebraic Riccati equation, Linear Algebra and Its Applications, pp. 71-97, Feb. 2024 |
| 2023 | Hung-Yuan Fan and Chun-Yueh Chiang*, On the maximal solution of the conjugate discrete-time algebraic Riccati equation, Applied Mathematics Letters, Jan. 2023 |
| 2021 | C.-Y. Chiang and H. Y. Fan*, An efficient iteration for the extremal solutions of discrete-time algebraic Riccati equations, arxiv preprint, Nov. 2021 |
| 2021 | Chun-Yueh Chiang, The convergence analysis of an accelerated iteration for solving algebraic Riccati equations, Journal of the Franklin Institute, pp. 619-636, Nov. 2021 |
| 2021 | Matthew M. Lin and Chun-Yueh Chiang*, On the semigroup property for some structured iterations, Journal of Computational and Applied Mathematics, pp. 112768-, Aug. 2021 |
| 2019 | Chun-Yueh Chiang，Matthew M. Lin＊and Xiao-Qing Jin, Riemannian Inexact Newton Method for Structured Inverse Eigenvalue and Singular Value Problems, BIT Numerical Mathematics, pp. 675–694-, May. 2019 |
| 2018 | Matthew M. Lin and Chun-Yueh Chiang*, 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 | Matthew M.~Lin and Chun-Yueh Chiang*, 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 | Chun-Yueh Chiang*, 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 | Chun-Yueh Chiang, 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 | Matthew M. Lin and C.-Y. Chiang*, A note on Sylvester-type equations., JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS., pp. 2171-2186, May. 2015 |
| 2014 | Chun-Yueh Chiang, On the solution of the linear matrix equation $X=Af(X)B+C$, Applied Mathematics and Computation, pp. 925-935, Oct. 2014 |
| 2013 | Chun-Yueh Chiang and Matthew M. Lin, The Eigenvalue Shift Technique and Its Eigenstructure Analysis of a Matrix, Journal of Computational and Applied Mathematics, pp. 235-248, Dec. 2013 |
| 2013 | Chun-Yueh Chiang, HUNG-YUAN FAN, Matthew M*. Lin and Hsin-An Chen, Perturbation analysis of the stochastic algebraic Riccati equation, JOURNAL OF INEQUALITIES AND APPLICATIONS, pp. 1-22, Nov. 2013 |
| 2013 | C.-Y. Chiang, A note on the $\top$-Stein matrix equation, Abstract and Applied Analysis, pp. 1-8, Aug. 2013 |
| 2013 | Matthew M.Lin, Chun-Yueh Chiang*, The Shift Techniques for a Nonsymmetric Algebraic Riccati Equation, Applied Mathematics and Computation, pp. 5083-5095, May. 2013 |
| 2013 | CHUN-YUEH CHIANG, HUNG-YUAN FAN*, Residual bounds of the stochastic algebraic Riccati equation, Applied Numerical Mathematics, pp. 78-87, Jan. 2013 |
| 2012 | Chun-Yueh Chiang*, E.K.W Chu & Chang-Yi Weng , A Note on Unimodular Eigenvalues for Palindromic Eigenvalue Problems , International Journal of Computer Mathematics, pp. 2385-2391, Nov. 2012 |
| 2012 | Chun-Yueh Chiang*,Eric King-Wah Chu and Wen-Wei Lin, ON THE *-SYLVESTER EQUATION AX ± X*B* = C, Applied Mathematics and Computation, pp. pp.8393--8407-, May. 2012 |
| 2010 | Chun-Yueh Chiang, Hung-Yuan Fan*, Wen-Wei Lin, 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 | Chun-Yueh Chiang*, Eric King-Wah Chu, Wen-Wei Lin, A Note on Golden Means, Nonlinear Matrix Equations and Structured Doubling Algorithms, Taiwanese Journal of Mathematics, pp. 955-972, Jun. 2010 |
| 2009 | Tiexiang Li, Chun-Yueh Chiang, Eric King-wah Chu*, Wen-Wei Lin, The Palindromic Generalized Eigenvalue Problem A*x = lambda Ax: Numerical Solution and Applications, Linear Algebra and its Applications, pp. 2269-2284, Nov. 2009 |
| 2008 | Chun-Yueh Chiang, Eric King-Wah Chu, Chun-Hua Guo*, Tsung-Ming Huang, Wen-Wei Lin, and Shu-Fang Xu , 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 |
| 年度 | 論文名稱 |
|---|---|
| 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 |
| 計畫類別 | 年度 | 計畫名稱 | 職稱/擔任之工作 | 計畫期間 |
|---|---|---|---|---|
| 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 |