Flexible incomplete Cholesky factorization with multi-parameters to control the number of nonzero elements in preconditioners

2011 ◽  
Vol 19 (3) ◽  
pp. 555-569 ◽  
Author(s):  
Yong Zhang ◽  
Ting-Zhu Huang ◽  
Yan-Fei Jing ◽  
Liang Li
Keyword(s):  
Cholesky Factorization ◽  
Incomplete Cholesky Factorization

scholarly journals Fast kernel k-means clustering using incomplete Cholesky factorization

2021 ◽  
Vol 402 ◽  
pp. 126037
Author(s):  
Li Chen ◽  
Shuisheng Zhou ◽  
Jiajun Ma ◽  
Mingliang Xu
Keyword(s):  
Cholesky Factorization ◽  
Incomplete Cholesky Factorization

A CONSTRAINT PRECONDITIONER FOR SOLVING SYMMETRIC POSITIVE DEFINITE SYSTEMS AND APPLICATION TO THE HELMHOLTZ EQUATIONS AND POISSON EQUATIONS

2010 ◽  
Vol 15 (3) ◽  
pp. 299-311 ◽  
Author(s):  
Zhuo-Hong Huang ◽  
Ting-Zhu Huang
Keyword(s):  
Numerical Experiments ◽  
Positive Definite ◽  
Cholesky Factorization ◽  
Helmholtz Equations ◽  
Poisson Equations ◽  
Symmetric Positive Definite ◽  
Incomplete Cholesky Factorization ◽  
Preconditioned Matrix ◽  
Factorization Methods ◽  
Number Of Iterations

In this paper, first, by using the diagonally compensated reduction and incomplete Cholesky factorization methods, we construct a constraint preconditioner for solving symmetric positive definite linear systems and then we apply the preconditioner to solve the Helmholtz equations and Poisson equations. Second, according to theoretical analysis, we prove that the preconditioned iteration method is convergent. Third, in numerical experiments, we plot the distribution of the spectrum of the preconditioned matrix M−1A and give the solution time and number of iterations comparing to the results of [5, 19].

PSVM: Parallel Support Vector Machines with Incomplete Cholesky Factorization

2012 ◽  
pp. 109-126
Author(s):  
Edward Y. Chang ◽  
Hongjie Bai ◽  
Kaihua Zhu ◽  
Hao Wang ◽  
Jian Li ◽  
...  
Keyword(s):  
Support Vector Machines ◽  
Cholesky Factorization ◽  
Support Vector ◽  
Vector Machines ◽  
Incomplete Cholesky Factorization
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