本課程已於 2019-08-14停開

108年第1學期-5476 矩陣計算 課程資訊

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本課程名額為 70人,已有8 人選讀,尚餘名額62人。

授課教師

黃韋強

教育目標

The concept of matrix computation plays an important concept in scientific computing. Especially on the topic of data science, matrix computation is the fundamental operation in machine learning and deep learning. Matrix computation, also known as numerical linear algebra, mainly consists of linear systems and eigenvalue problems. The detailed concepts of this course include basic matrix operations, matrix decomposition (e.g. LU, Cholesky, Schur form, Jordan form, QR, QZ, SVD), direct and iterative methods to solve linear systems (e.g. Gaussian elimination, Jacobi method, Gauss-Seidel, SOR, Krylov subspace methods, preconditioning) and eigenvalue problems (e.g. Arnoldi decomposition and Jacobi-Davidson method), orthogonalization and least squares problems, and some further matrix algebra as well as algorithms (matrix inverse, rank, determinant and trace).

課程資訊

參考書目

1. Matrix Computation. Gene H. Golub and Charles F. Van Loan. Johns Hopkins University Press, 2013 (4th edition).
2. Scientific Computing with Case Studies. Dianne P. O'Leary. Society for Industrial and Applied Mathematics, 2008.