slepc-3.22.1 2024-10-28
Report Typos and Errors

# BVTensorCompress

Updates the U and S factors of the tensor basis vectors object V by means of an SVD, removing redundant information.

### Synopsis

    #include "slepcbv.h"
    PetscErrorCode BVTensorCompress(BV V,PetscInt newc)

Collective

### Input Parameters

| V | - the tensor basis vectors context
| newc | - additional columns to be locked

### Notes

This function is typically used when restarting Krylov solvers. Truncating a tensor BV V = (I otimes U) S to its leading columns amounts to keeping the leading columns of S. However, to effectively reduce the size of the decomposition, it is necessary to compress it in a way that fewer columns of U are employed. This can be achieved by means of an update that involves the SVD of the low-rank matrix [S_0 S_1 ... S_{d-1}], where S_i are the pieces of S.

If newc is nonzero, then newc columns are added to the leading columns of V. This means that the corresponding columns of the U and S factors will remain invariant in subsequent operations.

### See Also

BVCreateTensor(), BVSetActiveColumns()

### Level

advanced

### Location

src/sys/classes/bv/impls/tensor/bvtensor.c
Index of all BV routines
Table of Contents for all manual pages
Index of all manual pages