pylops_gpu.optimization.leastsquares.NormalEquationsInversion¶
-
pylops_gpu.optimization.leastsquares.
NormalEquationsInversion
(Op, Regs, data, Weight=None, dataregs=None, epsI=0, epsRs=None, x0=None, returninfo=False, device='cpu', **kwargs_cg)[source]¶ Inversion of normal equations.
Solve the regularized normal equations for a system of equations given the operator
Op
, a data weighting operatorWeight
and a list of regularization termsRegs
Parameters: - Op :
pylops_gpu.LinearOperator
Operator to invert
- Regs :
list
Regularization operators (
None
to avoid adding regularization)- data :
torch.Tensor
Data
- Weight :
pylops_gpu.LinearOperator
, optional Weight operator
- dataregs :
list
, optional Regularization data (must have the same number of elements as
Regs
)- epsI :
float
, optional Tikhonov damping
- epsRs :
list
, optional Regularization dampings (must have the same number of elements as
Regs
)- x0 :
torch.Tensor
, optional Initial guess
- returninfo :
bool
, optional Return info of CG solver
- device :
str
, optional Device to be used
- **kwargs_cg
Arbitrary keyword arguments for
pylops_gpu.optimization.leastsquares.cg
solver
Returns: - xinv :
numpy.ndarray
Inverted model.
Notes
Refer to
pylops..optimization.leastsquares.NormalEquationsInversion
for implementation details.- Op :