eigen – LINALG

public interface eigen

Module Procedures

private pure function eigen_1(a, right) result(rst)

Solves the eigenvalue problem $A \vec{v} = \lambda \vec{v}$ where matrix is $A$ is square, but not necessarily symmetric. Optionally, the left eigenvalue problem can be solved such that $\vec{u}^{H} A = \lambda \vec{u}^{H}$ .

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=real64),	intent(in),		dimension(:,:)	::	a	The matrix $A$ .
logical,	intent(in),	optional		::	right	An optional parameter specifying if the right eigenvalue solution should be computed (true), or the left eigenvalue solution should be computed (false). The default is true such that the right eigenvalue problem is solved.

Return Value type(eigen_solution)

The solution.

private pure function eigen_2(a, b, right) result(rst)

Solves the eigenvalue problem $A \vec{v} = \lambda B \vec{v}$ where $A$ and $B$ are both N-by-N matrices. Optionally, the left eigenvalue problem can be solved such that $\vec{u}^{H} A = \lambda \vec{u}^{H} B$ .

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=real64),	intent(in),		dimension(:,:)	::	a	The matrix $A$ .
real(kind=real64),	intent(in),		dimension(:,:)	::	b	The matrix $B$ .
logical,	intent(in),	optional		::	right	An optional parameter specifying if the right eigenvalue solution should be computed (true), or the left eigenvalue solution should be computed (false). The default is true such that the right eigenvalue problem is solved.

Return Value type(eigen_solution)

The solution.

eigen Interface

Contents

Module Procedures

public interface eigen

Module Procedures

private pure function eigen_1(a, right) result(rst)

Arguments

Return Value type(eigen_solution)

private pure function eigen_2(a, b, right) result(rst)

Arguments

Return Value type(eigen_solution)