Course title
6M0090001
Advanced Numerical Linear Algebra

 fukuda akiko Click to show questionnaire result at 2017
Course content
The scope of this course is to comprehend the numerical linear algebra,
in particular, numerical methods for linear systems and eigenvalue/singular value problems.
Purpose of class
Large-scale linear computation is needed in scientific computing. The purpose of this course is to understand the necessity and multilateral understanding of the theoretical aspects and applied aspects of linear computation.
Goals and objectives
  1. to understand the for large-scale linear computation in scientific computing
  2. to understand some theoretical properties eigenvalues and singular values
  3. to understand the derivation for some methods for eigenvalues and its theoretical/numerical properties
Language
Japanese
Class schedule

 Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1． Eigenvalues and singular values Read Syllabus 190minutes
2． Singular value decomposition and its properties 1 Review 190minutes
3． Singular value decomposition and its properties 2 Review 190minutes
4． Singular value decomposition and its properties 3 Review 190minutes
5． Preconditioning: Householder transformation Review 190minutes
6． QR method 1 Review 190minutes
7． QR method 2 Review 190minutes
8． Cholesky LR method and its convergence Review 190minutes
9． Shifted Cholesky LR method and its convergence Review 190minutes
10． qd and dqds method 1 -- derivation Review 190minutes
11． qd and dqds method 2 -- convergence theorem Review 190minutes
12． Eigenvalue algorithms derived from the discrete integrable system 1 Review 190minutes
13． Eigenvalue algorithms derived from the discrete integrable system 2 Review 190minutes
14． Presentation Prepare for the presentation and review 190minutes
Total. - - 2660minutes
Relationship between 'Goals and Objectives' and 'Course Outcomes'

 Report Presentation Total.
1. 20% 10% 30%
2. 30% 10% 40%
3. 20% 10% 30%
Total. 70% 30% -
Evaluation method and criteria
report (70%) and presentation (30%)
Textbooks and reference materials
Textbook is not specified. We will introduce a reference book if necessary.
Prerequisites
linear algebra, numerical analysis, programming
Office hours and How to contact professors for questions
  • Fri. 15:00～16:40
Regionally-oriented
Non-regionally-oriented course
Development of social and professional independence
  • Course that cultivates an ability for utilizing knowledge
  • Course that cultivates a basic problem-solving skills
Active-learning course
More than one class is interactive
Course by professor with work experience
Work experience Work experience and relevance to the course content if applicatable
N/A N/A
Education related SDGs:the Sustainable Development Goals
  • 9.INDUSTRY, INNOVATION AND INFRASTRUCTURE
Last modified : Sun Sep 20 04:03:01 JST 2020