slepc3.21.1 20240426
DSHSVD
Dense Hyperbolic Singular Value Decomposition.
Notes
The problem is expressed as A = U*Sigma*V', where A is rectangular in
general, with n rows and m columns. U is orthogonal with respect to a
signature matrix, stored in D. V is orthogonal. Sigma is a diagonal
matrix whose diagonal elements are the arguments of DSSolve(). After
solve, A is overwritten with Sigma, D is overwritten with the new signature.
The matrices of left and right singular vectors, U and V, have size n and m,
respectively. The number of columns m must be specified via DSHSVDSetDimensions().
If the DS object is in the intermediate state, A is assumed to be in upper
bidiagonal form (possibly with an arrow) and is stored in compact format
on matrix T. The compact storage is implemented for the square case
only, m=n. The extra row should be interpreted in this case as an extra column.
Used DS matrices
Implemented methods
 0   Cross product A'*Omega*A

See Also
DSCreate(), DSSetType(), DSType, DSHSVDSetDimensions()
Level
beginner
Location
src/sys/classes/ds/impls/hsvd/dshsvd.c
Index of all DS routines
Table of Contents for all manual pages
Index of all manual pages