Householder's Method for Complex Matrices and Eigensystems of Hermitian Matrices |
Common terms and phrases
1r step Algol procedure householder Algol variable alpha 1,j arithmetic code back transformation begin calculates the eigensystem CDC 3600 computer complex arithmetic complex matrix complex vector tau COMPONENT CONJ delta DIAGONAL UNITARY SIMILARITY double precision Eigensystems of Hermitian eigenvalues and eigenvectors eigenvectors of A(1 Euclidean norm Fortran subroutine hermitian matrix HERMITIAN STARTING MATRIX Hessenberg form Householder matrices Householder reduction HOUSEHOLDER TRANSFORMATION Householder's method IDENTITY MATRIX integer lower portion lower subdiagonal lower triangle matrix of order millisec MSUB NMAX NORM NSUB output POSITION R,R-1 procedure householder hermitian procedure householder nonhermitian procedure reverse procedure tridibisection1 ratio REAL PART IMAGINARY REAL SYMMETRIC MATRIX real symmetric tridiagonal real vector reduced matrix rho2 ROW COLUMN row vector scalar subdiagonal is real subroutine eigen symmetric tridiagonal matrix TAU(I TAU(R TEMP transforms the eigenvectors TYPE COMPLEX unitary matrix upper Hessenberg matrix upper triangle VNORM2 VR/ROOT VTEMP Wielandt inverse iteration WVEC x a 1,r zero