MR.Const_SymMatrix2d Class Reference

symmetric 2x2 matrix Generated from class MR.SymMatrix2d. This is the const half of the class. More...

Inheritance diagram for MR.Const_SymMatrix2d:

Classes
struct	_Underlying

Public Member Functions
virtual void	Dispose ()
unsafe	Const_SymMatrix2d ()
	Constructs an empty (default-constructed) instance.
unsafe	Const_SymMatrix2d (MR.Const_SymMatrix2d _other)
	Generated from constructor MR.SymMatrix2d.SymMatrix2d.
unsafe double	trace ()
	computes trace of the matrix Generated from method MR.SymMatrix2d.trace.
unsafe double	normSq ()
	computes the squared norm of the matrix, which is equal to the sum of 4 squared elements Generated from method MR.SymMatrix2d.normSq.
unsafe double	det ()
	computes determinant of the matrix Generated from method MR.SymMatrix2d.det.
unsafe MR.SymMatrix2d	inverse ()
	computes inverse matrix Generated from method MR.SymMatrix2d.inverse.
unsafe MR.SymMatrix2d	inverse (double det)
	computes inverse matrix given determinant of this Generated from method MR.SymMatrix2d.inverse.
unsafe MR.Vector2d	eigens (MR.Misc.InOut< MR.Matrix2d >? eigenvectors=null)
	returns eigenvalues of the matrix in ascending order (diagonal matrix L), and optionally returns corresponding unit eigenvectors in the rows of orthogonal matrix V, M*V^T = V^T*L; M = V^T*L*V Generated from method MR.SymMatrix2d.eigens.
unsafe MR.Vector2d	eigenvector (double eigenvalue)
	computes not-unit eigenvector corresponding to a not-repeating eigenvalue Generated from method MR.SymMatrix2d.eigenvector.
unsafe MR.Vector2d	maxEigenvector ()
	computes not-unit eigenvector corresponding to maximum eigenvalue Generated from method MR.SymMatrix2d.maxEigenvector.
unsafe MR.SymMatrix2d	pseudoinverse (double? tol=null, MR.Misc.InOut< int >? rank=null, MR.Misc.InOut< MR.Vector2d >? space=null)
	for not-degenerate matrix returns just inverse matrix, otherwise returns degenerate matrix, which performs inversion on not-kernel subspace;

Static Public Member Functions
static unsafe MR.SymMatrix2d	identity ()
	Generated from method MR.SymMatrix2d.identity.
static unsafe MR.SymMatrix2d	diagonal (double diagVal)
	Generated from method MR.SymMatrix2d.diagonal.

Protected Member Functions
virtual unsafe void	Dispose (bool disposing)

Properties
unsafe double	xx [get]
	zero matrix by default
unsafe double	xy [get]
	zero matrix by default
unsafe double	yy [get]
	zero matrix by default
Properties inherited from MR.Misc.Object< Const_SymMatrix2d >
virtual bool	_IsOwning [get]
	Returns true if this is an owning instance, and when disposed, will destroy the underlying C++ instance. If false, we assume that the underlying C++ instance will live long enough.

Additional Inherited Members
Protected Attributes inherited from MR.Misc.Object< Const_SymMatrix2d >
bool	_IsOwningVal

Detailed Description

symmetric 2x2 matrix Generated from class MR.SymMatrix2d. This is the const half of the class.

Member Function Documentation

pseudoinverse()

unsafe MR.SymMatrix2d MR.Const_SymMatrix2d.pseudoinverse ( double? tol = null, MR.Misc.InOut< int >? rank = null, MR.Misc.InOut< MR.Vector2d >? space = null )

inline

for not-degenerate matrix returns just inverse matrix, otherwise returns degenerate matrix, which performs inversion on not-kernel subspace;

Parameters

tol	relative epsilon-tolerance for too small number detection
rank	optional output for this matrix rank according to given tolerance
space	rank=1: unit direction of solution line, rank=2: zero vector Generated from method MR.SymMatrix2d.pseudoinverse. Parameter tol defaults to std.numeric_limits<double>::epsilon().

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The documentation for this class was generated from the following file:

• MRSymMatrix2.cs