F06 Chapter Contents
F06 Chapter Introduction
NAG Library Manual

# NAG Library Routine DocumentF06GVF (ZGTHRZ)

Note:  before using this routine, please read the Users' Note for your implementation to check the interpretation of bold italicised terms and other implementation-dependent details.

## 1  Purpose

F06GVF (ZGTHRZ) gathers specified (usually nonzero) elements of a complex vector $y$ in full storage form into a sparse complex vector $x$ in compressed form. The specified elements of $y$ are set to zero.

## 2  Specification

 SUBROUTINE F06GVF ( NZ, Y, X, INDX)
 INTEGER NZ, INDX(*) COMPLEX (KIND=nag_wp) Y(*), X(*)
The routine may be called by its BLAS name zgthrz.

None.

## 4  References

Dodson D S, Grimes R G and Lewis J G (1991) Sparse extensions to the Fortran basic linear algebra subprograms ACM Trans. Math. Software 17 253–263

## 5  Parameters

1:     NZ – INTEGERInput
On entry: the number of nonzeros in the sparse vector $x$.
2:     Y($*$) – COMPLEX (KIND=nag_wp) arrayInput/Output
Note: the dimension of the array Y must be at least $\underset{\mathit{k}}{\mathrm{max}}\phantom{\rule{0.25em}{0ex}}\left\{{\mathbf{INDX}}\left(\mathit{k}\right)\right\}$.
On entry: the vector $y$. Only elements corresponding to indices in INDX are accessed.
On exit: the elements of $y$ corresponding to indices in INDX are set to zero.
3:     X($*$) – COMPLEX (KIND=nag_wp) arrayOutput
Note: the dimension of the array X must be at least $\mathrm{max}\phantom{\rule{0.125em}{0ex}}\left(1,{\mathbf{NZ}}\right)$.
On exit: the compressed vector $x$.
4:     INDX($*$) – INTEGER arrayInput
Note: the dimension of the array INDX must be at least $\mathrm{max}\phantom{\rule{0.125em}{0ex}}\left(1,{\mathbf{NZ}}\right)$.
On entry: INDX must contain the set of indices $J$.

None.

Not applicable.