DSGHEP#

Dense Generalized Hermitian Eigenvalue Problem.

Notes#

The problem is expressed as AX = BX*Lambda, where both A and B are real symmetric (or complex Hermitian) and B is positive-definite. Lambda is a diagonal matrix whose diagonal elements are the arguments of DSSolve(). After solve, A is overwritten with Lambda, and B is overwritten with I.

No intermediate state is implemented, nor compact storage.

Used DS matrices#

  • DS_MAT_A - first problem matrix

  • DS_MAT_B - second problem matrix

  • DS_MAT_Q - matrix of B-orthogonal eigenvectors, which is equal to X

Implemented methods#

  • 0 - Divide and Conquer (_sygvd)

See Also#

DSCreate(), DSSetType(), DSType

Level#

beginner

Location#

src/sys/classes/ds/impls/ghep/dsghep.c

Index of all DS routines Table of Contents for all manual pages Index of all manual pages