2019 Functional Analysis and Inverse Problems

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Academic unit or major
Undergraduate major in Information and Communications Engineering
Instructor(s)
Yamada Isao  Obi Takashi 
Class Format
Lecture     
Media-enhanced courses
Day/Period(Room No.)
Mon5-6(S423)  Thr5-6(S423)  
Group
-
Course number
ICT.S302
Credits
2
Academic year
2019
Offered quarter
1Q
Syllabus updated
2019/4/4
Lecture notes updated
2019/5/26
Language used
Japanese
Access Index

Lecture

Lecture 1 Role of Functional Analysis in Engineering

2019.4.4(Thu.) 5-6Session

Lecture

Lecture 2 Convergence of real number sequence and Vector space

2019.4.8(Mon.) 5-6Session

Lecture

Lecture 3 Metric space and Complete metric space

2019.4.11(Thu.) 5-6Session

Lecture

Lecture 4 Contraction mapping theorem with applications to functional equations

2019.4.15(Mon.) 5-6Session

Lecture

Lecture 5 Open set and closed set

2019.4.18(Thu.) 5-6Session

Lecture

Lecture 6 Normed space and Bounded linear operator

2019.4.22(Mon.) 5-6Session

Lecture

Lecture 7 Inner product space and Parallelogram law, Banach space and Hilbert space

2019.4.25(Thu.) 5-6Session

Lecture

Lecture 8 Projection theorems in Hilbert space

2019.4.25(Thu.) 9-10Session

Lecture

Lecture 9 Orthogonal projection onto linear variety and Normal equation

2019.5.9(Thu.) 5-6Session

Lecture

Lecture 10 Singular value decomposition and Image processing

2019.5.13(Mon.) 5-6Session

Lecture

Lecture 11 Noise and Regularization

2019.5.16(Thu.) 5-6Session

Midterm Examination

Lecture 12 Mid Exam.

2019.5.20(Mon.) 5-6Session

Lecture

Lecture 13 Iterative image reconstruction

2019.5.23(Thu.) 5-6Session

Lecture

Lecture 14 Norm minimization and Sparce modeling

2019.5.27(Mon.) 5-6Session

Lecture

Lecture 15 Medical image reconstruction from incomlete data set

2019.5.30(Thu.) 5-6Session

End of Term Examination

Lecture 16 Final Exam.

2019.6.3(Mon.) 5-6Session

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