$dbh = DBI->connect( 'Blah', 'Blah', 'Blah', 'Blah' );
# $dbh->LongReadLen( 65535 ); # since you're not fetching any data, this line doesn't do anything useful
$stmt = $dbh->prepare( "UPDATE Images SET Name = ?" );

for(@JpgList){
    $stmt->execute( $_ );
    rename("$_","Processed/$_");
}
$stmt->finish;
$dbh->disconnect;