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 \( AX = B \).