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.
	Const_SymMatrix2d (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)

Protected Attributes
unsafe double *	__ref_storage_xx
unsafe double *	__ref_storage_xy
unsafe double *	__ref_storage_yy

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

Detailed Description

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

Constructor & Destructor Documentation

Const_SymMatrix2d() [1/3]

unsafe MR.Const_SymMatrix2d.Const_SymMatrix2d ( )

inline

Constructs an empty (default-constructed) instance.

Const_SymMatrix2d() [2/3]

unsafe MR.Const_SymMatrix2d.Const_SymMatrix2d ( MR.Const_SymMatrix2d _other )

inline

Generated from constructor MR.SymMatrix2d.SymMatrix2d.

Const_SymMatrix2d() [3/3]

MR.Const_SymMatrix2d.Const_SymMatrix2d ( SymMatrix2d _other )

inline

Generated from constructor MR.SymMatrix2d.SymMatrix2d.

Member Function Documentation

det()

unsafe double MR.Const_SymMatrix2d.det ( )

inline

computes determinant of the matrix Generated from method MR.SymMatrix2d.det.

diagonal()

unsafe MR.SymMatrix2d MR.Const_SymMatrix2d.diagonal ( double diagVal )

inlinestatic

Generated from method MR.SymMatrix2d.diagonal.

Dispose() [1/2]

virtual void MR.Const_SymMatrix2d.Dispose ( )

inlinevirtual

Dispose() [2/2]

virtual unsafe void MR.Const_SymMatrix2d.Dispose ( bool disposing )

inlineprotectedvirtual

eigens()

unsafe MR.Vector2d MR.Const_SymMatrix2d.eigens ( MR.Misc.InOut< MR.Matrix2d >? eigenvectors = null )

inline

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.

eigenvector()

unsafe MR.Vector2d MR.Const_SymMatrix2d.eigenvector ( double eigenvalue )

inline

computes not-unit eigenvector corresponding to a not-repeating eigenvalue Generated from method MR.SymMatrix2d.eigenvector.

identity()

unsafe MR.SymMatrix2d MR.Const_SymMatrix2d.identity ( )

inlinestatic

Generated from method MR.SymMatrix2d.identity.

inverse() [1/2]

unsafe MR.SymMatrix2d MR.Const_SymMatrix2d.inverse ( )

inline

computes inverse matrix Generated from method MR.SymMatrix2d.inverse.

inverse() [2/2]

unsafe MR.SymMatrix2d MR.Const_SymMatrix2d.inverse ( double det )

inline

computes inverse matrix given determinant of this Generated from method MR.SymMatrix2d.inverse.

maxEigenvector()

unsafe MR.Vector2d MR.Const_SymMatrix2d.maxEigenvector ( )

inline

computes not-unit eigenvector corresponding to maximum eigenvalue Generated from method MR.SymMatrix2d.maxEigenvector.

normSq()

unsafe double MR.Const_SymMatrix2d.normSq ( )

inline

computes the squared norm of the matrix, which is equal to the sum of 4 squared elements Generated from method MR.SymMatrix2d.normSq.

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().

trace()

unsafe double MR.Const_SymMatrix2d.trace ( )

inline

computes trace of the matrix Generated from method MR.SymMatrix2d.trace.

Member Data Documentation

__ref_storage_xx

unsafe double* MR.Const_SymMatrix2d.__ref_storage_xx

protected

__ref_storage_xy

unsafe double* MR.Const_SymMatrix2d.__ref_storage_xy

protected

__ref_storage_yy

unsafe double* MR.Const_SymMatrix2d.__ref_storage_yy

protected

Property Documentation

xx

unsafe double MR.Const_SymMatrix2d.xx

get

zero matrix by default

xy

unsafe double MR.Const_SymMatrix2d.xy

get

zero matrix by default

yy

unsafe double MR.Const_SymMatrix2d.yy

get

zero matrix by default

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

• MRSymMatrix2.cs