LA Namespace Reference

Classes
class	Eigenvalues
	Computes eigenvalues and eigenvectors of a real (non-complex) matrix. More...
class	Exception
	Represents an exception of the LinAlg package. More...
class	LU
	Performs a LU-decomposition of a matrix. More...
class	Matrix
	Represents a nxm Matrix with entries of type double. More...
class	QR
class	Vector
Functions
Matrix	operator+ (const Matrix &M1, const Matrix &M2)
	Adds to matrices.
Matrix	operator- (const Matrix &M1, const Matrix &M2)
	Subtracts to matrices.
Matrix	operator * (const Matrix &M1, const Matrix &M2)
	Multiplies to matrices.
Vector	operator * (const Matrix &M, const Vector &v)
	Multiplies a matrix with a vector.
Matrix	operator * (const Matrix &M, const double &s)
	Multiplies a matrix with a scalar.
Matrix	operator * (const double &s, const Matrix &M)
	Multiplies a matrix with a scalar.
Matrix	operator/ (const Matrix &M, const double &s)
	Divides a matrix by a scalar.
Matrix	operator/ (const Matrix &M1, const Matrix &M2)
	Divides a matrix by another matrix (same as multiplying with the inverse).
Matrix	transpose (const Matrix &M)
	Returns the transposition of a matrix.
Matrix	invert (const Matrix &M)
	Returns the inverse of a matrix.
Matrix	inv (const Matrix &M)
	Returns the inverse of a matrix.
double	det (const Matrix &M)
	Returns the determinant of a matrix.
std::ostream &	operator<< (std::ostream &out, const Matrix &M)
	Prints a user-readable representation of a matrix.
Out &	operator<< (Out &stream, const Matrix &M)
	Out operator for GT-streams.
In &	operator>> (In &stream, Matrix &M)
	In operator for GT-streams.
Vector	operator+ (const Vector &v1, const Vector &v2)
	Adds to vectors.
Vector	operator- (const Vector &v1, const Vector &v2)
	Subtracts to vectors.
Vector	operator * (const double &s, const Vector &v)
	Multiplies a vector with a scalar.
Vector	operator * (const Vector &v, const double &s)
	Multiplies a vector with a scalar.
Vector	operator/ (const Vector &v, const double &s)
	Divides a vector by a scalar.
double	operator * (const Vector &v1, const Vector &v2)
	Calculates the inner product of two vector.
std::ostream &	operator<< (std::ostream &out, const Vector &v)
	Prints a user-readable representation of the vector.
Out &	operator<< (Out &stream, const Vector &v)
	Out operator for GT-streams.
In &	operator>> (In &stream, Vector &v)
	In operator for GT-streams.

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Function Documentation

Matrix LA::operator+ (  const Matrix &  M1, const Matrix &  M2 )

Adds to matrices. Parameters: M1  First matrix. M2  Second matrix. Returns: M1 + M2. Definition at line 319 of file LA_Matrix.cpp.

Matrix LA::operator- (  const Matrix &  M1, const Matrix &  M2 )

Subtracts to matrices. Parameters: M1  First matrix. M2  Second matrix. Returns: M1 - M2. Definition at line 326 of file LA_Matrix.cpp.

Matrix LA::operator * (  const Matrix &  M1, const Matrix &  M2 )

Multiplies to matrices. Parameters: M1  First matrix. M2  Second matrix. Returns: M1*M2. Definition at line 333 of file LA_Matrix.cpp. References LA::Matrix::c, LA::Vector::content, LA::Matrix::content, and LA::Matrix::r.

Vector LA::operator * (  const Matrix &  M, const Vector &  v )

Multiplies a matrix with a vector. Parameters: M  A matrix. v  A vector. Returns: M*v. Definition at line 353 of file LA_Matrix.cpp. References LA::Matrix::c, LA::Matrix::content, LA::Vector::content, LA::Vector::n, and LA::Matrix::r.

Matrix LA::operator * (  const Matrix &  M, const double &  s )

Multiplies a matrix with a scalar. Parameters: M  Matrix. s  Scalar. Returns: M*s. Definition at line 369 of file LA_Matrix.cpp.

Matrix LA::operator * (  const double &  s, const Matrix &  M )

Multiplies a matrix with a scalar. Parameters: s  Scalar. M  Matrix. Returns: s*M. Definition at line 376 of file LA_Matrix.cpp.

Matrix LA::operator/ (  const Matrix &  M, const double &  s )

Divides a matrix by a scalar. Parameters: M  Matrix. s  Scalar. Returns: M/s. Definition at line 383 of file LA_Matrix.cpp.

Matrix LA::operator/ (  const Matrix &  M1, const Matrix &  M2 )

Divides a matrix by another matrix (same as multiplying with the inverse). Parameters: M1  First matrix. M2  Second matrix. Returns: M1/M2 (M1*inv(M2)) Definition at line 390 of file LA_Matrix.cpp. References invert().

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Matrix LA::transpose (  const Matrix &  M  )

Returns the transposition of a matrix. Parameters: M  Matrix. Returns: Transposition of matrix. Definition at line 395 of file LA_Matrix.cpp. References LA::Matrix::transpose().

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Matrix LA::invert (  const Matrix &  M  )

Returns the inverse of a matrix. Parameters: M  Matrix. Returns: Inverse of matrix. Definition at line 402 of file LA_Matrix.cpp. References LA::Matrix::invert(). Referenced by LA::Matrix::inverse(), operator/(), and LA::Matrix::operator/=().

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Matrix LA::inv (  const Matrix &  M  )

Returns the inverse of a matrix. Parameters: M  Matrix. Returns: Inverse of matrix. Definition at line 409 of file LA_Matrix.cpp. References LA::Matrix::invert().

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double LA::det (  const Matrix &  M  )

Returns the determinant of a matrix. Parameters: M  Matrix. Returns: Determinant of matrix. Definition at line 416 of file LA_Matrix.cpp. References LA::Matrix::det().

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std::ostream & LA::operator<< (  std::ostream &  out, const Matrix &  M )

Prints a user-readable representation of a matrix. Parameters: out  An ostream. M  Matrix to output. Returns: Reference to passed ostream. Definition at line 421 of file LA_Matrix.cpp. References LA::Matrix::columns(), out, and LA::Matrix::rows().

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Out & LA::operator<< (  Out &  stream, const Matrix &  M )

Out operator for GT-streams. Parameters: stream  Out-stream. v  Vector to output. Returns: Reference to passed Out-stream. Definition at line 435 of file LA_Matrix.cpp. References LA::Matrix::c, LA::Vector::content, LA::Matrix::content, and LA::Matrix::r.

In & LA::operator>> (  In &  stream, Matrix &  M )

In operator for GT-streams. Parameters: stream  In-stream. v  Vector to read to. Returns: Reference to passed In-stream. Definition at line 445 of file LA_Matrix.cpp. References LA::Vector::content, LA::Matrix::content, and LA::Matrix::create().

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Vector LA::operator+ (  const Vector &  v1, const Vector &  v2 )

Adds to vectors. Parameters: v1  First vector. v2  Second vector. Returns: v1 + v2. Definition at line 176 of file LA_Vector.cpp.

Vector LA::operator- (  const Vector &  v1, const Vector &  v2 )

Subtracts to vectors. Parameters: v1  First vector. v2  Second vector. Returns: v1 - v2. Definition at line 183 of file LA_Vector.cpp.

Vector LA::operator * (  const double &  s, const Vector &  v )

Multiplies a vector with a scalar. Parameters: s  Scalar. v  Vector. Returns: s*v. Definition at line 190 of file LA_Vector.cpp.

Vector LA::operator * (  const Vector &  v, const double &  s )

Multiplies a vector with a scalar. Parameters: v  Vector. s  Scalar. Returns: v*s. Definition at line 197 of file LA_Vector.cpp.

Vector LA::operator/ (  const Vector &  v, const double &  s )

Divides a vector by a scalar. Parameters: v  Vector. s  Scalar. Returns: v/s. Definition at line 204 of file LA_Vector.cpp.

double LA::operator * (  const Vector &  v1, const Vector &  v2 )

Calculates the inner product of two vector. Parameters: v1  First vector. v2  Second vector. Returns: <v1, v2>. Definition at line 211 of file LA_Vector.cpp. References LA::Vector::content, and LA::Vector::n.

std::ostream & LA::operator<< (  std::ostream &  out, const Vector &  v )

Prints a user-readable representation of the vector. Parameters: out  An ostream. v  Vector to output. Returns: Reference to passed ostream. Definition at line 220 of file LA_Vector.cpp. References LA::Vector::dim(), and out.

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Out & LA::operator<< (  Out &  stream, const Vector &  v )

Out operator for GT-streams. Parameters: stream  Out-stream. v  Vector to output. Returns: Reference to passed Out-stream. Definition at line 231 of file LA_Vector.cpp. References LA::Vector::content, and LA::Vector::n.

In & LA::operator>> (  In &  stream, Vector &  v )

In operator for GT-streams. Parameters: stream  In-stream. v  Vector to read to. Returns: Reference to passed In-stream. Definition at line 240 of file LA_Vector.cpp. References LA::Vector::content, and LA::Vector::create().

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