taichi.linalg.matrixfree_cg#

class taichi.linalg.matrixfree_cg.LinearOperator(matvec_kernel)#

matvec(self, x, Ax)#

taichi.linalg.matrixfree_cg.MatrixFreeBICGSTAB(A, b, x, tol=1e-06, maxiter=5000, quiet=True)#

Matrix-free biconjugate-gradient stabilized solver (BiCGSTAB).

Use BiCGSTAB method to solve the linear system Ax = b, where A is implicitly represented as a LinearOperator.

Parameters:

• A (LinearOperator) – The coefficient matrix A of the linear system.

• b (Field) – The right-hand side of the linear system.

• x (Field) – The initial guess for the solution.

• maxiter (int) – Maximum number of iterations.

• atol – Tolerance(absolute) for convergence.

• quiet (bool) – Switch to turn on/off iteration log.

taichi.linalg.matrixfree_cg.MatrixFreeCG(A, b, x, tol=1e-06, maxiter=5000, quiet=True)#

Matrix-free conjugate-gradient solver.

Use conjugate-gradient method to solve the linear system Ax = b, where A is implicitly represented as a LinearOperator.

Parameters:

• A (LinearOperator) – The coefficient matrix A of the linear system.

• b (Field) – The right-hand side of the linear system.

• x (Field) – The initial guess for the solution.

• maxiter (int) – Maximum number of iterations.

• atol – Tolerance(absolute) for convergence.

• quiet (bool) – Switch to turn on/off iteration log.