HouseholderSequence_HouseholderSequence.cpp File Reference

Go to the source code of this file.

Functions
cout<< "The matrix v is:"<< endl;cout<< v<< endl;Vector3d v0(1, v(1, 0), v(2, 0));cout<< "The first Householder vector is: v_0 = "<< v0.transpose()<< endl;Vector3d v1(0, 1, v(2, 1));cout<< "The second Householder vector is: v_1 = "<< v1.transpose()<< endl;Vector3d v2(0, 0, 1);cout<< "The third Householder vector is: v_2 = "<< v2.transpose()<< endl;Vector3d h=Vector3d::Random();cout<< "The Householder coefficients are: h = "<< h.transpose()<< endl;Matrix3d H0=Matrix3d::Identity() - h(0) *v0 *v0.adjoint();cout<< "The first Householder reflection is represented by H_0 = "<< endl;cout<< H0<< endl;Matrix3d H1=Matrix3d::Identity() - h(1) *v1 *v1.adjoint();cout<< "The second Householder reflection is represented by H_1 = "<< endl;cout<< H1<< endl;Matrix3d H2=Matrix3d::Identity() - h(2) *v2 *v2.adjoint();cout<< "The third Householder reflection is represented by H_2 = "<< endl;cout<< H2<< endl;cout<< "Their product is H_0 H_1 H_2 = "<< endl;cout<< H0 *H1 *H2<< endl;HouseholderSequence< Matrix3d, Vector3d >	hhSeq (v, h)
Matrix3d	hhSeqAsMatrix (hhSeq)

Variables
Matrix3d	v = Matrix3d::Random()

Function Documentation

hhSeq()

cout<< "The matrix v is:" << endl;cout << v << endl;Vector3d v0(1, v(1,0), v(2,0));cout << "The first Householder vector is: v_0 = " << v0.transpose() << endl;Vector3d v1(0, 1, v(2,1));cout << "The second Householder vector is: v_1 = " << v1.transpose() << endl;Vector3d v2(0, 0, 1);cout << "The third Householder vector is: v_2 = " << v2.transpose() << endl;Vector3d h = Vector3d::Random();cout << "The Householder coefficients are: h = " << h.transpose() << endl;Matrix3d H0 = Matrix3d::Identity() - h(0) * v0 * v0.adjoint();cout << "The first Householder reflection is represented by H_0 = " << endl;cout << H0 << endl;Matrix3d H1 = Matrix3d::Identity() - h(1) * v1 * v1.adjoint();cout << "The second Householder reflection is represented by H_1 = " << endl;cout << H1 << endl;Matrix3d H2 = Matrix3d::Identity() - h(2) * v2 * v2.adjoint();cout << "The third Householder reflection is represented by H_2 = " << endl;cout << H2 << endl;cout << "Their product is H_0 H_1 H_2 = " << endl;cout << H0 * H1 * H2 << endl;HouseholderSequence<Matrix3d, Vector3d> hhSeq	(	v	,
		h
	)

hhSeqAsMatrix()

Matrix3d hhSeqAsMatrix

(

hhSeq

)

Variable Documentation

v

Matrix3d v = Matrix3d::Random()

Definition at line 1 of file HouseholderSequence_HouseholderSequence.cpp.