| No beginner routines | No intermediate routines | Advanced - Setting more advanced options and customization | MatCreateMF | MatSNESMFSetBase | MatSNESMFSetHHistory |
| MatCreateSNESMF | MatSNESMFSetCheckh | MatSNESMFSetPeriod |
| MatSNESMFAddNullSpace | MatSNESMFSetFromOptions | MatSNESMFSetType |
| MatSNESMFCheckPositivity | MatSNESMFSetFunction | MatSNESMFWPSetComputeNormA |
| MatSNESMFDefaultSetUmin | MatSNESMFSetFunctionError | MatSNESMFWPSetComputeNormU |
| MatSNESMFGetH | MatSNESMFSetFunctioni | |
| MatSNESMFResetHHistory | MatSNESMFSetFunctioniBase | |
| Developer - Interfaces intended primarily for library developers, not for typical applications programmers | MatSNESMFRegisterAll | MatSNESMFRegisterDestroy | MatSNESMFRegisterDynamic |
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