Solver Selected Topics¶

• Table of contents
• Solver Selected Topics
  • Web Resource
    • Academic:
    • Open source
  • Doc Resource
  • Matrix_collection
  • Journals:
  • Lecture Notes:

Web Resource¶

Academic:¶

Open source¶

• Scalable solvers group, applied mathematics and computational research division, Lawrence Berkeley National Laboratory, https://crd.lbl.gov/divisions/amcr/applied-mathematics-dept/scalable-solvers/
• GILBERT STRANG老爷子课程 https://www.bilibili.com/video/BV1uK4y187ep/?share_source=copy_web
• Matrix benchmark test suite: https://math.nist.gov/MatrixMarket , https://sparse.tamu.edu and https://smart.math.purdue.edu/
• CSPARSE: http://jefftrull.github.io/c++/eigen/csparse/suitesparse/2017/02/10/a-tour-of-sparse-matrices-for-cplusplus.html and https://github.com/ibayer/CSparse
• Linux 性能分析valgrind https://zhuanlan.zhihu.com/p/92082070
• Some public solvers for sparse linear systems on different computing platforms #33660 , #35202 , #19889 , #40400
  and reordering software #35354 .

Doc Resource¶

叩田D叩D&劝D叩D.pptx: http://10.30.200.21:8088/attachments/37324
I. S. Duff, A. M. Erisman and J. K. Reid (2017), Direct Methods for Sparse Matrices, 2nd edition, Oxford University Press. Link
A. George and J. W. H. Liu (1981), Computer Solution of Large Sparse Positive Definite Systems, Prentice-Hall. Link
A survey of direct methods for sparse linear systems, Acta Numerica (2016), pp. 383-566. Link
T. A. Davis (2006), Direct Methods for Sparse Linear Systems, SIAM. Link
X. Chen, Y. Wang, H Yang(2017), Parallel sparse direct solver for integrated circuit simulation, Springer.
parallel-sparse-direct-solver-for-integrated-circuit-simulation_compress.pdf
Y. Saad (2003), Iterative Methods for Sparse Linear Systems, 2nd edition, SIAM. Link
R. Barrett(1994), et. al., Templates for the solution of Linear Systems: Building Blocks for Iterative Methods, SIAM. Link_ps ， Link_pdf
Direct_Methods_for_Sparse_Matrices_Miroslav_Tuma.pdf
NLA_SparseDirect_2009_Psli.pdf

Matrix_collection¶

Journals:¶

Lecture Notes:¶

QA: what is gather and scatter?

QA: 消去树?

QA: 条件数?

QA: 从麦克斯韦推导KCL/KVL?

QA: 矩阵范数和误差?