課程資訊
 課程名稱 數值線性代數Numerical Linear Algebra 開課學期 112-1 授課對象 理學院  數學研究所 授課教師 王偉仲 課號 MATH5411 課程識別碼 221 U4210 班次 學分 3.0 全/半年 半年 必/選修 選修 上課時間 星期四2,3,4(9:10~12:10) 上課地點 天數305 備註 總人數上限：40人 課程簡介影片 核心能力關聯 本課程尚未建立核心能力關連 課程大綱 為確保您我的權利,請尊重智慧財產權及不得非法影印 課程概述 Course web site: https://sites.google.com/view/nla2023f/ Topics to be covered will include: 1. Orthogonality 2. Singular value decomposition (SVD) 3. QR factorization 4. Linear least-squares 5. LU and Cholesky Factorizations 6. Sparse Linear Systems 7. Conjugate Gradient Method 8. Eigenvalues and Eigenvectors 9. Arnodi Method 10. Computing SVD 課程目標 This course encompasses essential and cutting-edge concepts, algorithms, theories, and implementations in numerical linear algebra. Students will gain comprehensive insights and hands-on experience, exploring the subject from applications, mathematics, and computation perspectives. 課程要求 Linear Algebra, Calculus, Introduction to Computational Mathematics, Programming Language (e.g., Python, MATLAB, Julia, C, C++, or CUDA), Mathematical Analysis 預期每週課後學習時數 Office Hours 參考書目 "Numerical Linear Algebra" by Lloyd N. Trefethen and David Bau III, SIAM "Linear Algebra and Learning from Data" by Gilbert Strang, ISBN: 9780692196380, 2019 https://ocw.mit.edu/courses/mathematics/18-065-matrix-methods-in-data-analysis-signal-processing-and-machine-learning-spring-2018/index.htm "Introduction to Applied Linear Algebra – Vectors, Matrices, and Least Squares" by Stephen Boyd and Lieven Vandenberghe (http://vmls-book.stanford.edu/) "Mathematics for Machine Learning" by Marc Peter Deisenroth, A. Aldo Faisal, and Cheng Soon Ong, 2020 (https://mml-book.com) "Linear Algebra for Everyone" by Gilbert Strang, ISBN 978-1-7331466-3-0, 2020 "Applied Numerical Linear Algebra" by James W. Demmel, SIAM, 1997 "Matrix Computations" by Gene H. Golub and Charles F. Van Loan, ISDN: 1421407949, Fourth Edition, 2013 "Iterative Methods for Sparse Linear Systems" by Yousef Saad, 2nd Edition, 2003 (http://www-users.cs.umn.edu/~saad/IterMethBook_2ndEd.pdf) Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods, 2nd Edition, Richard Barrett et al., SIAM, 1994 大型線性系統與特徵值問題 http://ocw.lib.ntnu.edu.tw/course/view.php?id=190 指定閱讀 "Advanced Linear Algebra: Foundations to Frontiers" by Robert van de Geijn, Margaret Myers, 2023. 評量方式(僅供參考)
 課程進度
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