Record Class LUResult<E>

java.lang.Object

java.lang.Record

org.episteme.core.mathematics.linearalgebra.matrices.solvers.LUResult<E>

Type Parameters:

E - the element type

Record Components:

L - the lower triangular matrix

U - the upper triangular matrix

P - the permutation vector

public record LUResult<E>(Matrix<E> L, Matrix<E> U, Vector<E> P)
extends Record

Result of an LU decomposition.

P * A = L * U

Constructor Summary

Constructors

Constructor	Description
LUResult(Matrix<E> L, Matrix<E> U, Vector<E> P)	Creates an instance of a LUResult record class.

Method Summary

Modifier and Type	Method	Description
final boolean	equals(Object o)	Indicates whether some other object is "equal to" this one.
Matrix<E>	getL()
Matrix<E>	getOriginalA()	Reconstructs the original matrix A (un-permuted).
Vector<E>	getP()
Matrix<E>	getU()
final int	hashCode()	Returns a hash code value for this object.
Matrix<E>	L()	Returns the value of the L record component.
Vector<E>	P()	Returns the value of the P record component.
Matrix<E>	reconstruct()	Reconstructs the matrix A (as permuted by P).
Vector<E>	solve(Vector<E> b)	Solves the system A * x = b using the LU decomposition results.
final String	toString()	Returns a string representation of this record class.
Matrix<E>	U()	Returns the value of the U record component.

Methods inherited from class Object

clone, finalize, getClass, notify, notifyAll, wait, wait, wait

Constructor Details

LUResult

public LUResult(Matrix<E> L,
 Matrix<E> U,
 Vector<E> P)

Creates an instance of a LUResult record class.

Parameters:

L - the value for the L record component

U - the value for the U record component

P - the value for the P record component

Method Details

getL

public Matrix<E> getL()

getU

public Matrix<E> getU()

getP

public Vector<E> getP()

reconstruct

public Matrix<E> reconstruct()

Reconstructs the matrix A (as permuted by P).

Returns P * A = L * U.

Returns:

the reconstructed matrix L * U

getOriginalA

public Matrix<E> getOriginalA()

Reconstructs the original matrix A (un-permuted).

Returns:

the original matrix A

solve

public Vector<E> solve(Vector<E> b)

Solves the system A * x = b using the LU decomposition results.

Parameters:

b - the right-hand side vector

Returns:

the solution vector x

Throws:

IllegalArgumentException - if dimensions mismatch

UnsupportedOperationException - if the ring is not a Field

ArithmeticException - if the matrix is singular

toString

public final String toString()

Returns a string representation of this record class. The representation contains the name of the class, followed by the name and value of each of the record components.

Specified by:

toString in class Record

Returns:

a string representation of this object

hashCode

public final int hashCode()

Returns a hash code value for this object. The value is derived from the hash code of each of the record components.

Specified by:

hashCode in class Record

Returns:

a hash code value for this object

equals

public final boolean equals(Object o)

Indicates whether some other object is "equal to" this one. The objects are equal if the other object is of the same class and if all the record components are equal. All components in this record class are compared with Objects::equals(Object,Object).

Specified by:

equals in class Record

Parameters:

o - the object with which to compare

Returns:

true if this object is the same as the o argument; false otherwise.

L

public Matrix<E> L()

Returns the value of the L record component.

Returns:

the value of the L record component

U

public Matrix<E> U()

Returns the value of the U record component.

Returns:

the value of the U record component

P

public Vector<E> P()

Returns the value of the P record component.

Returns:

the value of the P record component