SC@TMS - Matrix Comp. NLA (NTNU, NTU, NCKU)

SC@TMS

Matrix Computation (NTNU), Numerical Linear Algebra (NTU, NCKU)

(台大:王偉仲, 成大:林敏雄, 臺師大:黃聰明)

(L: Lecture, H: Hands-on, V: video)

1. L. a. Introduction to course (2017/9/14)

b. Graph Laplaician

c. Applications in 3D face animation and data network analysis

H. a. Download data from http://konect.uni-koblenz.de/

b. Construct the matrices by Matlab or GPU

c. Check the sparsity of the matrices

d. Learn mathematical software tool (web)

V. a. [0503-1] [0503-2] [0505-1]

2. L. a. power method for EVP (2017/9/21)

b. inverse power method for EVP

H. a. Practice mathematical software tools

b. Learn basic CUDA programming

c. Use csreigvsi in cuSolverSP to compute the target eigenvalues

d. Try another problems by using csreigvsi

V. [0505-2] [0506-1] [0506-2]

3. L. a. None (2017/9/28)

H. a. Solve the linear system (A + 1.0e-5 I) y = b by using the direct solvers (LU and Cholesky) in cuSolverSP package to solve the linear systems from http://konect.uni-koblenz.de/with various dimensions

b. Discuss the results in direct solvers

V. [0509-1] [0509-2] [0510-1]

4. L. a. Conjugate gradient method (2017/10/5)

b. Reference: NTNU Open Course(go)

H. a. Learn how to use magma_dcg (Conjugate Gradient method) in MAGMA

V. [0510-2] [0511-1] [0511-2]

5. L. a. Conjugate gradient method (2017/10/12)

b. Reference: NTNU Open Course(go)

H. a. Use magma_dcg type functions in MAGMA to solve linear system from 3D face animation

b. Use magma_dcg type functions in MAGMA to solve linear system from http://konect.uni-koblenz.de/ with various dimensions

V. [0512-1] [0512-2] [0516-1]

6. L. a. Preconditioning conjugate gradient method (2017/10/19)

b. Reference: NTNU Open Course(go)

H. a. Learn how to use PCG with preconditioners in MAGMA

V. [0516-2] [0517-1] [0517-2]

7. L. a. Preconditioner (2017/10/26)

H. a. Use CG method in MAGMA with ICC (magma_dapplycumicc_l) and ILU (magma_dapplycumilu_l and magma_dapplycumilu_r) preconditioners

V. [0518-1] [0518-2] [0519-1] [0519-2]

8. L. a. Preconditioner (2017/11/2)

H. a. Compare the results of CG method in MAGMA with ICC, ILU, and other preconditioners

V. Run AmgX to solve linear systems

9. L. a. BiCGSTAB (2017/11/9)

b. Reference: NTNU Open Course(go)

H. a. Learn how to use un-symmetric linear solvers in MAGMA

10. L. a. BiCGSTAB (2017/11/16)

H. a. Use BiCGSTAB (magma_dbicgstab) with ILU preconditioner to solve linear system (A - 1.0e-5) y = b

11. L. a. Lanczos method (2017/11/23)

b. Reference: NTNU Open Course(go)

H. a. Learn how to use sparse eigensolver in MAGMA

12. L. a. Lanczos method (2017/11/30)

b. Reference: NTNU Open Course(go)

H. a. Use LOBPCG (magma_dlobpcg) to compute the target eigenvalues

13. Midterm (2017/12/7)

2017/12/18 -- 2018/1/5: High-performance Numerical Solvers (Edmond)

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