org.matheclipse.core.reflection.system

Class Eigenvalues

java.lang.Object

org.matheclipse.core.eval.interfaces.AbstractEvaluator

org.matheclipse.core.eval.interfaces.AbstractFunctionEvaluator

org.matheclipse.core.eval.interfaces.AbstractMatrix1Expr

org.matheclipse.core.reflection.system.Eigenvalues

All Implemented Interfaces:

IFunctionEvaluator, IEvaluator

public class Eigenvalues
extends AbstractMatrix1Expr

Compute the numerical Eigenvalues of a real symmetric matrix See: Wikipedia - Eigenvalue, eigenvector and eigenspace

Constructor Summary

Constructors

Constructor and Description
Eigenvalues()

Method Summary

Modifier and Type	Method and Description
IExpr	evaluate(IAST ast, EvalEngine engine) Symbolic evaluation of a function.
IExpr	matrixEval(org.apache.commons.math4.linear.FieldMatrix<IExpr> matrix) Evaluate the symbolic matrix for this algorithm.
IAST	realMatrixEval(org.apache.commons.math4.linear.RealMatrix matrix) Evaluate the numeric matrix for this algorithm.

Methods inherited from class org.matheclipse.core.eval.interfaces.AbstractMatrix1Expr

numericEval

Methods inherited from class org.matheclipse.core.eval.interfaces.AbstractFunctionEvaluator

createRuleFromMethod, getNormalizedNegativeExpression, getNormalizedNegativeExpression, getPeriodicParts, getPureImaginaryPart, getRuleAST, initSerializedRules, isNegativeExpression, setUp

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

Eigenvalues

public Eigenvalues()

Method Detail

evaluate

public IExpr evaluate(IAST ast,
                      EvalEngine engine)

Description copied from class: AbstractFunctionEvaluator

Symbolic evaluation of a function. ast.get(0) (or alternatively ast.head()) contains the head (i.e. the function symbol) of this abstract syntax tree (AST).
From ast.arg1() to ast.get(n) the ast contains the first to n-th argument of the function (alternatively you get the first to fifth argument with the methods arg1(), arg2(),... arg5()).
If necessary use the methods from the Validate class to check the number or types of arguments in the evaluate method.
Note: if the symbolic evaluation isn't possible or no result is found the evaluate method returns with a null value without throwing an exception!

Specified by:

evaluate in interface IFunctionEvaluator

Overrides:

evaluate in class AbstractMatrix1Expr

Parameters:

ast - the abstract syntax tree (AST) which should be evaluated

engine - the users current evaluation engine

Returns:

the evaluated object or null, if evaluation isn't possible

See Also:

Validate, IExpr.head(), IAST.arg1(), IAST.arg2(), IAST.arg3()

realMatrixEval

public IAST realMatrixEval(org.apache.commons.math4.linear.RealMatrix matrix)

Description copied from class: AbstractMatrix1Expr

Evaluate the numeric matrix for this algorithm.

Specified by:

realMatrixEval in class AbstractMatrix1Expr

Parameters:

matrix - the matrix which contains numeric values

Returns:

matrixEval

public IExpr matrixEval(org.apache.commons.math4.linear.FieldMatrix<IExpr> matrix)

Description copied from class: AbstractMatrix1Expr

Evaluate the symbolic matrix for this algorithm.

Specified by:

matrixEval in class AbstractMatrix1Expr

Parameters:

matrix - the matrix which contains symbolic values

Returns: