MLAPI_Expressions.h File Reference

Overloaded operators for MultiVector's, Operator's, and InverseOpereator's. More...

#include "MLAPI_LinearCombinations.h"
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Namespaces

namespace  MLAPI
 

MLAPI: Default namespace for all MLAPI objects and functions.


Functions

MultiVectorCombination MLAPI::operator+ (const MultiVector &x, const MultiVector &y)
 Creates a new MultiVector, defined as x + y.
LinearCombinationAdd MLAPI::operator+ (const BaseLinearCombination &left, const BaseLinearCombination &right)
LinearCombinationMixed MLAPI::operator+ (const BaseLinearCombination &left, const MultiVector &right)
LinearCombinationMixed MLAPI::operator+ (const MultiVector &left, const BaseLinearCombination &right)
MultiVectorCombination MLAPI::operator+ (const MultiVectorScaled &left, const MultiVectorScaled &right)
 Creates a new MultiVector, defined as alpha * x + beta * y.
Residual MLAPI::operator+ (const MultiVectorScaled &left, const BaseOperatorTimesMultiVector &right)
 Creates a new MultiVector, defined as alpha * x + A * y.
Residual MLAPI::operator+ (const MultiVector &left, const BaseOperatorTimesMultiVector &right)
 Creates a new MultiVector, defined as x + A * y.
MultiVectorCombination MLAPI::operator- (const MultiVector &x, const MultiVector &y)
 Creates a new MultiVector, defined as x - y.
LinearCombinationAdd MLAPI::operator- (const BaseLinearCombination &left, const BaseLinearCombination &right)
LinearCombinationMixed MLAPI::operator- (const BaseLinearCombination &left, const MultiVector &right)
LinearCombinationMixed MLAPI::operator- (const MultiVector &left, const BaseLinearCombination &right)
Residual MLAPI::operator- (const MultiVector &left, const BaseOperatorTimesMultiVector &right)
 Creates a new MultiVector, defined as x - A * y.
MultiVector MLAPI::operator+ (const MultiVector &x, const double alpha)
 Creates a new MultiVector, defined as x + alpha.
MultiVector MLAPI::operator+ (const double alpha, const MultiVector &x)
 Creates a new MultiVector, defined as alpha + x.
MultiVector MLAPI::operator- (const MultiVector &x, const double alpha)
 Creates a new MultiVector, defined as x - alpha.
MultiVector MLAPI::operator- (const double alpha, const MultiVector &x)
 Creates a new MultiVector, defined as alpha - y.
Operator MLAPI::operator+ (const Operator &A, const Operator &B)
 Creates a new Operator, defined as A + B.
Operator MLAPI::operator- (const Operator &A, const Operator &B)
 Creates a new Operator, defined as A - B.
Operator MLAPI::operator* (const Operator &A, const Operator &B)
 Creates a new Operator, defined as A * B.
Operator MLAPI::operator* (const Operator &A, const double alpha)
 Creates a new Operator, defined as A * alpha.
Operator MLAPI::operator* (const double alpha, const Operator &A)
 Creates a new Operator, defined as alpha * A.
Operator MLAPI::operator/ (const Operator &A, const double alpha)
 Creates a new Operator, defined as A / alpha.
MultiVector MLAPI::operator* (const MultiVector &x, const double alpha)
 Creates a new MultiVector, defined as x * alpha.
MultiVector MLAPI::operator* (const double alpha, const MultiVector &x)
MultiVector MLAPI::operator/ (const MultiVector &x, const double alpha)
 Creates a new MultiVector y, such that y = x / alpha.
BaseOperatorTimesMultiVector MLAPI::operator* (const BaseOperator &A, const MultiVector &x)
 Creates a new MultiVector y, such that y = A * x.
BaseOperatorTimesMultiVector MLAPI::operator* (const BaseOperator &A, const BaseLinearCombination &x)
 Creates a new MultiVector y, such that y = A * x (x is a BaseLinearCombination).
double MLAPI::operator* (const MultiVector &x, const MultiVector &y)
 Computes the dot product between the first vector in x and y.
double MLAPI::operator* (const MultiVector &x, const BaseLinearCombination &y)
double MLAPI::operator* (const BaseLinearCombination &x, const MultiVector &y)
double MLAPI::operator* (const BaseLinearCombination &x, const BaseLinearCombination &y)

Detailed Description

Overloaded operators for MultiVector's, Operator's, and InverseOpereator's.

Author:
Marzio Sala, SNL 9214.
Date:
Last updated on Feb-05.
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