/usr/include/suitesparse/umfpack_save_numeric.h is in libsuitesparse-dev 1:3.4.0-2ubuntu3.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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/* === umfpack_save_numeric ================================================= */
/* ========================================================================== */
/* -------------------------------------------------------------------------- */
/* UMFPACK Copyright (c) Timothy A. Davis, CISE,                              */
/* Univ. of Florida.  All Rights Reserved.  See ../Doc/License for License.   */
/* web: http://www.cise.ufl.edu/research/sparse/umfpack                       */
/* -------------------------------------------------------------------------- */
int umfpack_di_save_numeric
(
    void *Numeric,
    char *filename
) ;
UF_long umfpack_dl_save_numeric
(
    void *Numeric,
    char *filename
) ;
int umfpack_zi_save_numeric
(
    void *Numeric,
    char *filename
) ;
UF_long umfpack_zl_save_numeric
(
    void *Numeric,
    char *filename
) ;
/*
double int Syntax:
    #include "umfpack.h"
    int status ;
    char *filename ;
    void *Numeric ;
    status = umfpack_di_save_numeric (Numeric, filename) ;
double UF_long Syntax:
    #include "umfpack.h"
    UF_long status ;
    char *filename ;
    void *Numeric ;
    status = umfpack_dl_save_numeric (Numeric, filename) ;
complex int Syntax:
    #include "umfpack.h"
    int status ;
    char *filename ;
    void *Numeric ;
    status = umfpack_zi_save_numeric (Numeric, filename) ;
complex UF_long Syntax:
    #include "umfpack.h"
    UF_long status ;
    char *filename ;
    void *Numeric ;
    status = umfpack_zl_save_numeric (Numeric, filename) ;
Purpose:
    Saves a Numeric object to a file, which can later be read by
    umfpack_*_load_numeric.  The Numeric object is not modified.
Returns:
    UMFPACK_OK if successful.
    UMFPACK_ERROR_invalid_Numeric_object if Numeric is not valid.
    UMFPACK_ERROR_file_IO if an I/O error occurred.
Arguments:
    void *Numeric ;	    Input argument, not modified.
	Numeric must point to a valid Numeric object, computed by
	umfpack_*_numeric or loaded by umfpack_*_load_numeric.
    char *filename ;	    Input argument, not modified.
	A string that contains the filename to which the Numeric
	object is written.
*/
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