SparseSquareMatrixSolve Method |
Solves Ax = b using iterative methods.
Namespace: Meta.Numerics.Matrices
Assembly: Meta.Numerics (in Meta.Numerics.dll) Version: 4.1.4
SyntaxParameters
- rhs
- Type: Meta.Numerics.MatricesColumnVector
The right-hand side vector b.
Return Value
Type: ColumnVectorThe solution vector x.
Exceptions| Exception | Condition |
|---|---|
| ArgumentNullException | rhs is null. |
| DimensionMismatchException | rhs's dimension does not equal the matrix's dimension. |
| NonconvergenceException | The method did not converge to a solution. |
RemarksIn general, neither the inverse nor any decomposition of a sparse matrix is itself sparse. Therefore, to solve large, sparse linear systems, iterative methods are employed. An iterative method begins with an approximate or guessed solution vector and progresses toward an improved solution. Iterative methods are often successful at converging to a sufficiently accurate solution vector, but this is not guaranteed. If this method fails to converge, it throws a NonconvergenceException.
See Also