PETSc version 3.17.3
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MatCreateSchurComplementPmat

create a preconditioning matrix for the Schur complement by explicitly assembling the sparse matrix Sp = A11 - A10 inv(DIAGFORM(A00)) A01

Synopsis

#include "petscksp.h" 
PetscErrorCode  MatCreateSchurComplementPmat(Mat A00,Mat A01,Mat A10,Mat A11,MatSchurComplementAinvType ainvtype,MatReuse preuse,Mat *Sp)
Collective on A00

Input Parameters

A00 - the upper-left part of the original matrix A = [A00 A01; A10 A11]
A01 - (optional) the upper-right part of the original matrix A = [A00 A01; A10 A11]
A10 - (optional) the lower-left part of the original matrix A = [A00 A01; A10 A11]
A11 - (optional) the lower-right part of the original matrix A = [A00 A01; A10 A11]
ainvtype - type of approximation for DIAGFORM(A00) used when forming Sp = A11 - A10 inv(DIAGFORM(A00)) A01. See MatSchurComplementAinvType.
preuse - MAT_INITIAL_MATRIX for a new Sp, or MAT_REUSE_MATRIX to reuse an existing Sp, or MAT_IGNORE_MATRIX to put nothing in Sp

Output Parameter

Sp - approximate Schur complement suitable for preconditioning the true Schur complement S = A11 - A10 inv(A00) A01

See Also

MatCreateSchurComplement(), MatGetSchurComplement(), MatSchurComplementGetPmat(), MatSchurComplementAinvType

Level

advanced

Location

src/ksp/ksp/utils/schurm/schurm.c
Index of all KSP routines
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Index of all manual pages