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#

DS: Direct Solver (or Dense System), 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