RealExactTensorSolver

java.lang.Object

org.flag4j.linalg.solvers.exact.ExactTensorSolver<Tensor,Matrix,Vector>

org.flag4j.linalg.solvers.exact.RealExactTensorSolver

All Implemented Interfaces:: LinearTensorSolver<Tensor>

public class RealExactTensorSolver extends ExactTensorSolver<Tensor,Matrix,Vector>

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

Constructor Summary

Constructors

Constructor

Description

RealExactTensorSolver()

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 Matrix

initMatrix(Tensor A, int prod)

Initializes matrix for equivalent linear matrix equation.

protected Vector

initVector(Tensor B)

Initializes vector for equivalent linear matrix equation.

protected Tensor

wrap(Vector 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
- RealExactTensorSolver
  
  public RealExactTensorSolver()
  
  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 Matrix initMatrix(Tensor A, int prod)
  
  Initializes matrix for equivalent linear matrix equation.
  
  Specified by:
  
  initMatrix in class ExactTensorSolver<Tensor,Matrix,Vector>
  
  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 Vector initVector(Tensor B)
  
  Initializes vector for equivalent linear matrix equation.
  
  Specified by:
  
  initVector in class ExactTensorSolver<Tensor,Matrix,Vector>
  
  Parameters:
  
  B - Tensor to convert to vector.
  
  Returns:
  
  Flattens tensor B and converts to a vector.
- wrap
  
  protected Tensor wrap(Vector x, Shape outputShape)
  
  Wraps solution as a tensor and reshapes to the proper shape.
  
  Specified by:
  
  wrap in class ExactTensorSolver<Tensor,Matrix,Vector>
  
  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.