说明.txt

This folder contains all the codes based on Matlab Language for the book <《Iterative Methods for

This folder contains all the codes based on Matlab Language for the book <Iterative Methods for Linear and Nonlinear Equations>, and there are totally 21 M files, which can solve most problems of linear and nonlinear equations. 

Linear Equations:
pcgsol.m : Preconditioned CG 
gmresb.m : Brute force GMRES 
gmres.m : GMRES
Requires givapp.m . 
bicgstab.m : Bi-CGSTAB 
tfqmr.m : TFQMR 
Finite difference solvers for use in Newton iterative method code nsola.m 
fdkrylov.m , driver for gmres, Bi-CGSTAB, and TFQMR solvers. 
fdgmres.m , fdtfqmr.m : solvers called by fdkrylov.m . 
fdkrylov.m also requires dirder.m and givapp.m 

Nonlinear Equations:
nsol.m : Basic Newton-Shamanskii solver, difference Jacobian, LU factorization.
Requires the finite-difference Jacobian, diffjac.m , and directional derivative, dirder.m , codes. 
brsol.m : Locally convergent Broyden solver 
nsolgm.m : Newton-GMRES solver.
Requires dirder.m , fdgmres.m , and givapp.m . 
nsola.m : Newton-Krylov-Armijo code.
Requires dirder.m , fdgmres.m , fdcgstab.m , fdtfqmr.m , fdkrylov.m , givapp.m , and parab3p.m . 
brsola.m : Broyden-Armijo code. 
Miscellaneous 
givapp.m : applies sequence of Givens rotations. Used in gmres.m and fdgmres.m . 
fish2d.m : Fast Poisson solver, unit square, homogeneous Dirichlet BC.
Requires sine transform, sintv.m , and inverse sine transform, isintv.m . 
parab3p.m : Apply three-point safeguarded parabolic model for a line search.