petsc-master 2015-10-03
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Implements the LCD (left conjugate direction) method in PETSc.

Options Database Keys

-ksp_lcd_restart - number of vectors conjudate
-ksp_lcd_haptol - tolerance for exact convergence (happing ending)

Notes: Support only for left preconditioning


- J.Y. Yuan, G.H.Golub, R.J. Plemmons, and W.A.G. Cecilio. Semiconjugate direction methods for real positive definite system. BIT Numerical Mathematics, 44(1):189-207,2004. - Y. Dai and J.Y. Yuan. Study on semi-conjugate direction methods for non-symmetric systems. International Journal for Numerical Methods in Engineering, 60:1383-1399,2004. - L. Catabriga, A.L.G.A. Coutinho, and L.P.Franca. Evaluating the LCD algorithm for solving linear systems of equations arising from implicit SUPG formulation of compressible flows. International Journal for Numerical Methods in Engineering, 60:1513-1534,2004 - L. Catabriga, A. M. P. Valli, B. Z. Melotti, L. M. Pessoa, A. L. G. A. Coutinho, Performance of LCD iterative method in the finite element and finite difference solution of convection-diffusion equations, Communications in Numerical Methods in Engineering, (Early View).

Contributed by: Lucia Catabriga <>

See Also

KSPCreate(), KSPSetType(), KSPType (for list of available types), KSP,
KSPCGSetType(), KSPLCDSetRestart(), KSPLCDSetHapTol()

Index of all KSP routines
Table of Contents for all manual pages
Index of all manual pages