MatrixMath.h
Classes
- Global Functions -- Linear algebra functions on Vectors and Matrices. (full description)
Interface
- T innerProduct (const Vector<T> &x, const Vector<T> &y)
- Complex innerProduct (const Vector<Complex> &x, const Vector<Complex> &y)
- DComplex innerProduct (const Vector<DComplex> &x, const Vector<DComplex> &y)
- Int norm (const Vector<Int> &x)
- Float norm (const Vector<Float> &x)
- Double norm (const Vector<Double> &x)
- Float norm (const Vector<Complex> &x)
- Double norm (const Vector<DComplex> &x)
- Vector<T> crossProduct (const Vector<T> &x, const Vector<T> &y)
- Matrix<T> product (const Vector<T> &x, const Matrix<T> &yT)
- Vector<T> product (const Matrix<T> &A, const Vector<T> &x)
- Vector<T> directProduct(const Vector<T>& x, const Vector<T>& y)
- Matrix<T> product (const Matrix<T> &A, const Matrix<T> &B)
- Int normI(const Matrix<Int> &A)
- Float normI(const Matrix<Float> &A)
- Double normI(const Matrix<Double> &A)
- Float normI(const Matrix<Complex> &A)
- Double normI(const Matrix<DComplex> &A)
- Int norm1(const Matrix<Int> &A)
- Float norm1(const Matrix<Float> &A)
- Double norm1(const Matrix<Double> &A)
- Float norm1(const Matrix<Complex> &A)
- Double norm1(const Matrix<DComplex> &A)
- Matrix<T> transpose (const Matrix<T> &A)
- Matrix<T> Rot3D(Int axis, T angle)
- Matrix<Double> Rot3D(Int axis, Double angle)
- Matrix<Float> Rot3D(Int axis, Float angle)
- Matrix<T> directProduct(const Matrix<T>& A, const Matrix<T>& B)
- Matrix<Complex> conjugate (const Matrix<Complex> &A)
- Matrix<DComplex> conjugate (const Matrix<DComplex> &A)
- Matrix<Complex> adjoint (const Matrix<Complex> &A)
- Matrix<DComplex> adjoint (const Matrix<DComplex> &A)
- Matrix<Int> adjoint (const Matrix<Int> &A)
- Matrix<Float> adjoint (const Matrix<Float> &A)
- Matrix<Double> adjoint (const Matrix<Double> &A)
- Vector<Complex> product(const Matrix<Complex>&, const Vector<Float>&)
- Vector<Float> rproduct(const Matrix<Complex>&, const Vector<Complex>&)
- Matrix<Float> rproduct (const Matrix<Complex>&, const Matrix<Complex>&)
Review Status
- Reviewed By:
- UNKNOWN
- Date Reviewed:
- before2004/08/25
- Programs:
- Tests:
Member Description
T innerProduct (const Vector<T> &x, const Vector<T> &y)
Complex innerProduct (const Vector<Complex> &x, const Vector<Complex> &y)
DComplex innerProduct (const Vector<DComplex> &x, const Vector<DComplex> &y)
The scalar/dot/inner product of two equal length vectors.
Int norm (const Vector<Int> &x)
Float norm (const Vector<Float> &x)
Double norm (const Vector<Double> &x)
Float norm (const Vector<Complex> &x)
Double norm (const Vector<DComplex> &x)
The magnitude/norm of a vector.
The vector/cross product of two 3-space vectors.
Matrix<T> product (const Vector<T> &x, const Matrix<T> &yT)
The matrix/outer product of a vector and a transposed vector.
The function's second argument is actually a transposed vector
stored as the only row in a 1xN matrix.
Vector<T> product (const Matrix<T> &A, const Vector<T> &x)
The vector/outer product of an MxN matrix and an N-length vector.
The direct product of two vectors.
The resulting vector contains for every element of x, the product of
that element and Vector y. Thus the length of the output vector is
the product of the input lengths.
The matrix multiplication or cayley product of an MxN matrix and
an NxP matrix.
Int normI(const Matrix<Int> &A)
Float normI(const Matrix<Float> &A)
Double normI(const Matrix<Double> &A)
Float normI(const Matrix<Complex> &A)
Double normI(const Matrix<DComplex> &A)
The infinity norm (or maximum value of the sum of the absolute values
of the rows members of a matrix)
Int norm1(const Matrix<Int> &A)
Float norm1(const Matrix<Float> &A)
Double norm1(const Matrix<Double> &A)
Float norm1(const Matrix<Complex> &A)
Double norm1(const Matrix<DComplex> &A)
The one norm (or maximum value of the sum of the absolute values
of the column members of a matrix)
The NxM transpose of an MxN matrix.
Matrix<T> Rot3D(Int axis, T angle)
Matrix<Double> Rot3D(Int axis, Double angle)
Matrix<Float> Rot3D(Int axis, Float angle)
Create a 3D rotation matrix (3x3).
Axis is 0,1,2 for x,y,z; angle is in radians.
The direct product of two matrices.
The resulting matrix contains for every element of A, the product of
that element and Matrix B. Thus the shape of the output matrix is
the (element by element) product of the input shapes.
The complex conjugate of the complex matrix A.
The complex conjugate of the double precision complex matrix A.
The conjugate/transpose or adjoint of the complex matrix A.
define the adjoint operator as a plain old transpose when the Matrix is
not complex valued. (for templating purposes)
Vector<Complex> product(const Matrix<Complex>&, const Vector<Float>&)
The product of a Complex Matrix and a Real Vector
The real part of a product of a Complex Matrix and a Complex Vector
The real part of a product of a Complex Matrix and a Complex Matrix