ComplexExactTensorSolver

java.lang.Object

org.flag4j.linalg.solvers.exact.ExactTensorSolver<CTensor,CMatrix,CVector>

org.flag4j.linalg.solvers.exact.ComplexExactTensorSolver

All Implemented Interfaces:: LinearTensorSolver<CTensor>

public class ComplexExactTensorSolver extends ExactTensorSolver<CTensor,CMatrix,CVector>

Solver for solving a complex well determined linear tensor equation A*X=B in an exact sense.

Constructor Summary

Constructors

Constructor

Description

ComplexExactTensorSolver()

Creates an exact tensor solver for solving a well determined linear tensor equation A*X=B for X in an exact sense.
Method Summary

Modifier and Type

Method

Description

protected CMatrix

initMatrix(CTensor A, int prod)

Initializes matrix for equivalent linear matrix equation.

protected CVector

initVector(CTensor B)

Initializes vector for equivalent linear matrix equation.

protected CTensor

wrap(CVector x, Shape outputShape)

Wraps solution as a tensor and reshapes to the proper shape.

Methods inherited from class org.flag4j.linalg.solvers.exact.ExactTensorSolver
checkSize, getOutputShape, solve

Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Details
- ComplexExactTensorSolver
  
  public ComplexExactTensorSolver()
  
  Creates an exact tensor solver for solving a well determined linear tensor equation A*X=B for X in an exact sense.
Method Details
- initMatrix
  
  protected CMatrix initMatrix(CTensor A, int prod)
  
  Initializes matrix for equivalent linear matrix equation.
  
  Specified by:
  
  initMatrix in class ExactTensorSolver<CTensor,CMatrix,CVector>
  
  Parameters:
  
  A - Tensor to convert to matrix.
  
  prod - Product of all axis lengths in A.
  
  Returns:
  
  A matrix with the same entries as tensor A with shape (prod, prod).
- initVector
  
  protected CVector initVector(CTensor B)
  
  Initializes vector for equivalent linear matrix equation.
  
  Specified by:
  
  initVector in class ExactTensorSolver<CTensor,CMatrix,CVector>
  
  Parameters:
  
  B - Tensor to convert to vector.
  
  Returns:
  
  Flattens tensor B and converts to a vector.
- wrap
  
  protected CTensor wrap(CVector x, Shape outputShape)
  
  Wraps solution as a tensor and reshapes to the proper shape.
  
  Specified by:
  
  wrap in class ExactTensorSolver<CTensor,CMatrix,CVector>
  
  Parameters:
  
  x - Vector solution to matrix linear equation which is equivalent to the tensor equation A*X=B.
  
  outputShape - Shape for the solution tensor X.
  
  Returns:
  
  The solution X to the linear tensor equation A*X=B.