5446 - 矩陣理論與計算

Matrix Theory and Computation

教育目標 Course Target

本課程旨在深入探討矩陣計算理論,幫助學生理解矩陣的基本概念、運算技巧及其在實際問題中的應用。透過本課程的學習,學生將掌握矩陣的各種分解方法,並能夠運用數值方法解決線性方程組與各類矩陣運算問題。此外,課程將介紹矩陣在機器學習、圖像處理、信號處理等領域中的應用,提升學生對現代計算技術的理解和應用能力。

This course aims to provide an in-depth discussion of matrix calculation theory and help students understand the basic concepts, operation techniques and applications of matrices in practical problems. Through the study of this course, students will master various decomposition methods of matrices and be able to use numerical methods to solve linear equations and various matrix operation problems. In addition, the course will introduce the application of matrices in machine learning, image processing, signal processing and other fields to enhance students' understanding and application capabilities of modern computing technology.

參考書目 Reference Books

Gene H. Golub, Charles F. Van Loan, Matrix Computations 4th, 2013
Wen-Wei Lin, Lecture Notes of Matrix Computations, 2012

Gene H. Golub, Charles F. Van Loan, Matrix Computations 4th, 2013
Wen-Wei Lin, Lecture Notes of Matrix Computations, 2012

評分方式 Grading

評分項目
Grading Method
配分比例
Percentage
說明
Description
期末報告
Final report
30
課堂筆記
Class Notes
20
作業
Homework
50

授課大綱 Course Plan

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課程資訊 Course Information

基本資料 Basic Information

  • 課程代碼 Course Code: 5446
  • 學分 Credit: 0-3
  • 上課時間 Course Time:
    Monday/8,Thursday/6,7[ST527]
  • 授課教師 Teacher:
    林佳威
  • 修課班級 Class:
    應數系3,4,碩1,2
選課狀態 Enrollment Status

目前選課人數 Current Enrollment: 18 人

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