Lines Matching refs:A_
1952 A_{00} & A_{01} & A_{02} & A_{03} \\
1953 A_{10} & A_{11} & A_{12} & A_{13} \\
1954 A_{20} & A_{21} & A_{22} & A_{23} \\
1955 A_{30} & A_{31} & A_{32} & A_{33} \\
1959 where each $A_{ij}$ is an entire block. The matrices on a parallel computer are not explicitly stor…
1960 own some rows of $A_{0*}$, $A_{1*}$ etc. On a
1965 A_{{00}_{00}} & A_{{00}_{01}} & A_{{00}_{02}} & ... & A_{{01}_{00}} & A_{{01}_{01}} & ... \\
1966 A_{{00}_{10}} & A_{{00}_{11}} & A_{{00}_{12}} & ... & A_{{01}_{10}} & A_{{01}_{11}} & ... \\
1967 A_{{00}_{20}} & A_{{00}_{21}} & A_{{00}_{22}} & ... & A_{{01}_{20}} & A_{{01}_{21}} & ...\\
1969 A_{{10}_{00}} & A_{{10}_{01}} & A_{{10}_{02}} & ... & A_{{11}_{00}} & A_{{11}_{01}} & ... \\
1970 A_{{10}_{10}} & A_{{10}_{11}} & A_{{10}_{12}} & ... & A_{{11}_{10}} & A_{{11}_{11}} & ... \\
1979 A_{{00}_{00}} & A_{{01}_{00}} & A_{{00}_{01}} & A_{{01}_{01}} & ... \\
1980 A_{{10}_{00}} & A_{{11}_{00}} & A_{{10}_{01}} & A_{{11}_{01}} & ... \\
1981 A_{{00}_{10}} & A_{{01}_{10}} & A_{{00}_{11}} & A_{{01}_{11}} & ...\\
1982 A_{{10}_{10}} & A_{{11}_{10}} & A_{{10}_{11}} & A_{{11}_{11}} & ...\\
2049 …_schur_complement_ainv_type` \<diag|lump:diag> Use the lumped diagonal of $A_{00}$ when `-pc_field…
2088 A_{00} & A_{01} \\
2089 A_{10} & A_{11} \\
2112 \text{ksp}(A_{00},Ap_{00}) & 0 \\
2113 0 & \text{ksp}(A_{11},Ap_{11}) \\
2126 -A_{10} & I \\
2139 0 & \text{ksp}(A_{11},Ap_{11}) \\
2151 -A_{10} & -A_{11} \\
2162 \text{ksp}(A_{00},Ap_{00}) & 0 \\
2171 A_{00}^{-1} & 0 \\
2175 I & -A_{01} \\
2179 A_{00} & 0 \\
2180 0 & A_{11}^{-1} \\
2184 -A_{10} & I \\
2187 A_{00}^{-1} & 0 \\
2197 By default blocks $A_{00}, A_{01}$ and so on are extracted out of
2204 $A_{00}, A_{11}$ etc. out of `Amat` by calling
2209 $A_{01},A_{10}$ etc. to be extracted out of `Amat`.
2218 A_{10}A_{00}^{-1} & I \\
2221 A_{00} & 0 \\
2225 I & A_{00}^{-1} A_{01} \\
2233 I & A_{00}^{-1} A_{01} \\
2237 A_{00}^{-1} & 0 \\
2242 A_{10}A_{00}^{-1} & I \\
2248 I & -A_{00}^{-1} A_{01} \\
2252 A_{00}^{-1} & 0 \\
2257 -A_{10}A_{00}^{-1} & I \\
2263 A_{00}^{-1} & 0 \\
2267 I & -A_{01} \\
2271 A_{00} & 0 \\
2276 -A_{10} & I \\
2279 A_{00}^{-1} & 0 \\
2289 \text{ksp}(A_{00},Ap_{00}) & 0 \\
2293 I & -A_{01} \\
2305 -A_{10} \text{ksp}(A_{00},Ap_{00}) & I \\
2310 $\hat{S} = A_{11} - A_{10} \text{ksp}(A_{00},Ap_{00}) A_{01}$ is
2321 \text{ksp}(A_{00},Ap_{00}) & 0 \\
2328 $A_{00}$: for these, the Schur complement is negative definite.
2342 $\hat Sp = A_{11}$ is used to build a preconditioner for
2352 approximation to $\hat S$ by inverting $A_{00}$, but only
2356 $\hat Sp = A_{11} - A_{10} \text{inv}(A_{00}) A_{01}$.
2358 By default $\text{inv}(A_{00})$ is the inverse of the diagonal of
2359 $A_{00}$, but using
2361 $A_{00}$ first. Using
2363 inverse of the block diagonal of $A_{00}$. Option
2373 \text{ksp}(A_{10} A_{01},A_{10} A_{01}) A_{10} A_{00} A_{01} \text{ksp}(A_{10} A_{01},A_{10} A_{01})
2379 $A_{10} A_{01}$, users can provide their own matrix. This is
2669 multiply by $-A_{11}$. The reason is this is implemented this