Solves tridiagonal systems of equations.
Solves tridiagonal systems of equations. Supports batch dimensions and multiple right-hand sides per each left-hand side. On CPU, solution is computed via Gaussian elimination with or without partial pivoting, depending on `partial_pivoting` attribute. On GPU, Nvidia's cuSPARSE library is used: https://docs.nvidia.com/cuda/cusparse/index.html#gtsv Partial pivoting is not yet supported by XLA backends.
Nested Classes
| class | TridiagonalSolve.Options | Optional attributes for TridiagonalSolve
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Public Methods
| Output<T> |
asOutput()
Returns the symbolic handle of a tensor.
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| static <T> TridiagonalSolve<T> |
create(Scope scope, Operand<T> diagonals, Operand<T> rhs, Options... options)
Factory method to create a class wrapping a new TridiagonalSolve operation.
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| Output<T> |
output()
Tensor of shape `[..., M, K]` containing the solutions
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| static TridiagonalSolve.Options |
partialPivoting(Boolean partialPivoting)
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| static TridiagonalSolve.Options |
perturbSingular(Boolean perturbSingular)
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Inherited Methods
Public Methods
public Output<T> asOutput ()
Returns the symbolic handle of a tensor.
Inputs to TensorFlow operations are outputs of another TensorFlow operation. This method is used to obtain a symbolic handle that represents the computation of the input.
public static TridiagonalSolve<T> create (Scope scope, Operand<T> diagonals, Operand<T> rhs, Options... options)
Factory method to create a class wrapping a new TridiagonalSolve operation.
Parameters
| scope | current scope |
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| diagonals | Tensor of shape `[..., 3, M]` whose innermost 2 dimensions represent the tridiagonal matrices with three rows being the superdiagonal, diagonals, and subdiagonals, in order. The last element of the superdiagonal and the first element of the subdiagonal is ignored. |
| rhs | Tensor of shape `[..., M, K]`, representing K right-hand sides per each left-hand side. |
| options | carries optional attributes values |
Returns
- a new instance of TridiagonalSolve
public static TridiagonalSolve.Options partialPivoting (Boolean partialPivoting)
Parameters
| partialPivoting | Whether to apply partial pivoting. Partial pivoting makes the procedure more stable, but slower. |
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