Interface LinearMatrixSolver<T extends MatrixMixin<T,?,U,?>,U extends VectorMixin<U,T,?,?>>

Type Parameters:
T - The type of matrices in the linear system, extending MatrixMixin.
U - The type of vectors in the linear system, extending VectorMixin.
All Superinterfaces:
LinearSolver<T>
All Known Implementing Classes:
BackSolver, ComplexBackSolver, ComplexExactSolver, ComplexForwardSolver, ComplexLstsqSolver, ExactSolver, ForwardSolver, LstsqSolver, RealBackSolver, RealExactSolver, RealForwardSolver, RealLstsqSolver
public interface LinearMatrixSolver<T extends MatrixMixin<T,?,U,?>,U extends VectorMixin<U,T,?,?>> extends LinearSolver<T>

Interface representing a solver for linear systems involving matrices and vectors. Implementations of this interface provide methods to solve equations such as Ax=b and AX=B, where A, B, and X are matrices, and x and b are vectors.

Solvers may compute exact solutions or approximate solutions in a least squares sense, depending on the properties of the system.

  • Method Summary

    Modifier and Type
    Method
    Description
    T
    solve(T A, T B)
    Solves the linear matrix equation AX=B for the matrix X.
    U
    solve(T A, U b)
    Solves the linear system of equations Ax=b for the vector x.

  • Method Details

    • solve

      U solve(T A, U b)
      Solves the linear system of equations Ax=b for the vector x.
      Parameters:
      A - The coefficient matrix A in the linear system.
      b - The constant vector in the linear system.
      Returns:
      The solution vector x satisfying Ax=b.

    • solve

      T solve(T A, T B)
      Solves the linear matrix equation AX=B for the matrix X.
      Specified by:
      solve in interface LinearSolver<T extends MatrixMixin<T,?,U,?>>
      Parameters:
      A - The coefficient matrix in the linear system.
      B - The constant matrix in the linear system.
      Returns:
      The solution matrix X satisfying AX=B.