diff --git a/elf/Makefile b/elf/Makefile
index f1a16fe..b840891 100644
--- a/elf/Makefile
+++ b/elf/Makefile
@@ -192,7 +192,8 @@ tests += restest1 preloadtest loadfail multiload origtest resolvfail \
 	 tst-latepthread tst-tls-manydynamic tst-nodelete-dlclose \
 	 tst-debug1 tst-main1 tst-absolute-sym tst-absolute-zero tst-big-note \
 	 tst-sonamemove-link tst-sonamemove-dlopen tst-initfinilazyfail \
-	 tst-dlopenfail tst-dlopenfail-2
+	 tst-dlopenfail tst-dlopenfail-2 \
+	 tst-filterobj tst-filterobj-dlopen tst-auxobj tst-auxobj-dlopen
 #	 reldep9
 tests-internal += loadtest unload unload2 circleload1 \
 	 neededtest neededtest2 neededtest3 neededtest4 \
@@ -302,7 +303,8 @@ modules-names = testobj1 testobj2 testobj3 testobj4 testobj5 testobj6 \
 		tst-sonamemove-runmod1 tst-sonamemove-runmod2 \
 		tst-initlazyfailmod tst-finilazyfailmod \
 		tst-dlopenfailmod1 tst-dlopenfaillinkmod tst-dlopenfailmod2 \
-		tst-dlopenfailmod3
+		tst-dlopenfailmod3 \
+		tst-filterobj-flt tst-filterobj-aux tst-filterobj-filtee
 
 ifeq (yes,$(have-mtls-dialect-gnu2))
 tests += tst-gnu2-tls1
@@ -1619,3 +1621,15 @@ $(objpfx)tst-dlopen-nodelete-reloc-mod17.so: \
   $(objpfx)tst-dlopen-nodelete-reloc-mod15.so \
   $(objpfx)tst-dlopen-nodelete-reloc-mod16.so
 LDFLAGS-tst-dlopen-nodelete-reloc-mod17.so = -Wl,--no-as-needed
+
+LDFLAGS-tst-filterobj-flt.so = -Wl,--filter=$(objpfx)tst-filterobj-filtee.so
+$(objpfx)tst-filterobj: $(objpfx)tst-filterobj-flt.so
+$(objpfx)tst-filterobj-dlopen: $(libdl)
+$(objpfx)tst-filterobj.out: $(objpfx)tst-filterobj-filtee.so
+$(objpfx)tst-filterobj-dlopen.out: $(objpfx)tst-filterobj-filtee.so
+
+LDFLAGS-tst-filterobj-aux.so = -Wl,--auxiliary=$(objpfx)tst-filterobj-filtee.so
+$(objpfx)tst-auxobj: $(objpfx)tst-filterobj-aux.so
+$(objpfx)tst-auxobj-dlopen: $(libdl)
+$(objpfx)tst-auxobj.out: $(objpfx)tst-filterobj-filtee.so
+$(objpfx)tst-auxobj-dlopen.out: $(objpfx)tst-filterobj-filtee.so
diff --git a/elf/dl-deps.c b/elf/dl-deps.c
index 9d9b1ba..50f053a 100644
--- a/elf/dl-deps.c
+++ b/elf/dl-deps.c
@@ -485,14 +485,18 @@ _dl_map_object_deps (struct link_map *map,
 
   map->l_searchlist.r_list = &l_initfini[nlist + 1];
   map->l_searchlist.r_nlist = nlist;
+  unsigned int map_index = UINT_MAX;
 
   for (nlist = 0, runp = known; runp; runp = runp->next)
     {
       if (__builtin_expect (trace_mode, 0) && runp->map->l_faked)
 	/* This can happen when we trace the loading.  */
 	--map->l_searchlist.r_nlist;
-      else
+      else {
+	if (runp->map == map)
+	  map_index = nlist;
 	map->l_searchlist.r_list[nlist++] = runp->map;
+      }
 
       /* Now clear all the mark bits we set in the objects on the search list
 	 to avoid duplicates, so the next call starts fresh.  */
@@ -550,13 +554,14 @@ Filters not supported with LD_TRACE_PRELINKING"));
     }
 
   /* Maybe we can remove some relocation dependencies now.  */
-  assert (map->l_searchlist.r_list[0] == map);
   struct link_map_reldeps *l_reldeps = NULL;
   if (map->l_reldeps != NULL)
     {
-      for (i = 1; i < nlist; ++i)
+      for (i = 0; i < nlist; ++i)
 	map->l_searchlist.r_list[i]->l_reserved = 1;
 
+      /* Avoid removing relocation dependencies of the main binary.  */
+      map->l_reserved = 0;
       struct link_map **list = &map->l_reldeps->list[0];
       for (i = 0; i < map->l_reldeps->act; ++i)
 	if (list[i]->l_reserved)
@@ -581,16 +586,30 @@ Filters not supported with LD_TRACE_PRELINKING"));
 	      }
 	  }
 
-      for (i = 1; i < nlist; ++i)
+      for (i = 0; i < nlist; ++i)
 	map->l_searchlist.r_list[i]->l_reserved = 0;
     }
 
-  /* Sort the initializer list to take dependencies into account.  The binary
-     itself will always be initialize last.  */
-  memcpy (l_initfini, map->l_searchlist.r_list,
-	  nlist * sizeof (struct link_map *));
-  /* We can skip looking for the binary itself which is at the front of
-     the search list.  */
+  /* Sort the initializer list to take dependencies into account.  Always
+     initialize the binary itself last.  */
+  assert (map_index < nlist);
+  if (map_index > 0)
+    {
+      /* Copy the binary into position 0.  */
+      l_initfini[0] = map->l_searchlist.r_list[map_index];
+
+      /* Copy the filtees.  */
+      for (i = 0; i < map_index; ++i)
+	l_initfini[i+1] = map->l_searchlist.r_list[i];
+
+      /* Copy the remainder.  */
+      for (i = map_index + 1; i < nlist; ++i)
+	l_initfini[i] = map->l_searchlist.r_list[i];
+    }
+  else
+    memcpy (l_initfini, map->l_searchlist.r_list,
+	    nlist * sizeof (struct link_map *));
+
   _dl_sort_maps (&l_initfini[1], nlist - 1, NULL, false);
 
   /* Terminate the list of dependencies.  */
diff --git a/elf/dl-open.c b/elf/dl-open.c
index d834b89..d31356f 100644
--- a/elf/dl-open.c
+++ b/elf/dl-open.c
@@ -618,22 +618,25 @@ dl_open_worker (void *a)
      allows IFUNC relocations to work and it also means copy
      relocation of dependencies are if necessary overwritten.  */
   unsigned int nmaps = 0;
-  struct link_map *l = new;
+  unsigned int j = 0;
+  struct link_map *l = new->l_initfini[0];
   do
     {
       if (! l->l_real->l_relocated)
 	++nmaps;
-      l = l->l_next;
+      l = new->l_initfini[++j];
     }
   while (l != NULL);
+  /* Stack allocation is limited by the number of loaded objects.  */
   struct link_map *maps[nmaps];
   nmaps = 0;
-  l = new;
+  j = 0;
+  l = new->l_initfini[0];
   do
     {
       if (! l->l_real->l_relocated)
 	maps[nmaps++] = l;
-      l = l->l_next;
+      l = new->l_initfini[++j];
     }
   while (l != NULL);
   _dl_sort_maps (maps, nmaps, NULL, false);
diff --git a/elf/tst-auxobj-dlopen.c b/elf/tst-auxobj-dlopen.c
new file mode 100644
index 0000000..cb54aba
--- /dev/null
+++ b/elf/tst-auxobj-dlopen.c
@@ -0,0 +1,47 @@
+/* Test for BZ#16272, dlopen'ing an auxiliary filter object.
+   Ensure that symbols from the resolve correctly.
+
+   Copyright (C) 2020 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <https://www.gnu.org/licenses/>.  */
+
+#include <stdio.h>
+#include <support/check.h>
+#include <support/xdlfcn.h>
+
+static int do_test (void)
+{
+  void *lib = xdlopen ("tst-filterobj-aux.so", RTLD_LAZY);
+  char *(*fn)(void) = xdlsym (lib, "get_text");
+  const char* text = fn ();
+
+  printf ("%s\n", text);
+
+  /* Verify the text matches what we expect from the filtee */
+  TEST_COMPARE_STRING (text, "Hello from filtee (PASS)");
+
+  fn = xdlsym (lib, "get_text2");
+  text = fn ();
+
+  printf ("%s\n", text);
+
+  /* Verify the text matches what we expect from the auxiliary object */
+  TEST_COMPARE_STRING (text, "Hello from auxiliary filter object (PASS)");
+
+  return 0;
+}
+
+#include <support/test-driver.c>
diff --git a/elf/tst-auxobj.c b/elf/tst-auxobj.c
new file mode 100644
index 0000000..bdc7713
--- /dev/null
+++ b/elf/tst-auxobj.c
@@ -0,0 +1,42 @@
+/* Test that symbols from auxiliary filter objects are resolved to the
+   filtee.
+
+   Copyright (C) 2020 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <https://www.gnu.org/licenses/>.  */
+
+#include <stdio.h>
+#include <support/check.h>
+#include "tst-filterobj-filtee.h"
+
+static int do_test (void)
+{
+  const char* text = get_text ();
+  printf ("%s\n", text);
+
+  /* Verify the text matches what we expect from the filtee */
+  TEST_COMPARE_STRING (text, "Hello from filtee (PASS)");
+
+  text = get_text2 ();
+  printf ("%s\n", text);
+
+  /* Verify the text matches what we expect from the auxiliary object */
+  TEST_COMPARE_STRING (text, "Hello from auxiliary filter object (PASS)");
+
+  return 0;
+}
+
+#include <support/test-driver.c>
diff --git a/elf/tst-filterobj-aux.c b/elf/tst-filterobj-aux.c
new file mode 100644
index 0000000..0b732f2
--- /dev/null
+++ b/elf/tst-filterobj-aux.c
@@ -0,0 +1,33 @@
+/* Auxiliary filter object.
+   Contains symbols to be resolved in filtee, and one which doesn't.
+
+   Copyright (C) 2020 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <https://www.gnu.org/licenses/>.  */
+
+#include "tst-filterobj-filtee.h"
+
+/* We never want to see the output of the auxiliary object.  */
+const char *get_text (void)
+{
+  return "Hello from auxiliary filter object (FAIL)";
+}
+
+/* The filtee doesn't implement this symbol, so this should resolve.  */
+const char *get_text2 (void)
+{
+  return "Hello from auxiliary filter object (PASS)";
+}
diff --git a/elf/tst-filterobj-dlopen.c b/elf/tst-filterobj-dlopen.c
new file mode 100644
index 0000000..c5b5072
--- /dev/null
+++ b/elf/tst-filterobj-dlopen.c
@@ -0,0 +1,39 @@
+/* Test for BZ#16272, dlopen'ing a filter object.
+   Ensure that symbols from the filter object resolve to the filtee.
+
+   Copyright (C) 2020 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <https://www.gnu.org/licenses/>.  */
+
+#include <stdio.h>
+#include <support/check.h>
+#include <support/xdlfcn.h>
+
+static int do_test (void)
+{
+  void *lib = xdlopen ("tst-filterobj-flt.so", RTLD_LAZY);
+  char *(*fn)(void) = xdlsym (lib, "get_text");
+  const char* text = fn ();
+
+  printf ("%s\n", text);
+
+  /* Verify the text matches what we expect from the filtee */
+  TEST_COMPARE_STRING (text, "Hello from filtee (PASS)");
+
+  return 0;
+}
+
+#include <support/test-driver.c>
diff --git a/elf/tst-filterobj-filtee.c b/elf/tst-filterobj-filtee.c
new file mode 100644
index 0000000..8fa557c
--- /dev/null
+++ b/elf/tst-filterobj-filtee.c
@@ -0,0 +1,27 @@
+/* Filtee for BZ#16272 test.
+   Contains desired symbol implementations.
+
+   Copyright (C) 2020 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <https://www.gnu.org/licenses/>.  */
+
+#include "tst-filterobj-filtee.h"
+
+/* This is the real implementation that wants to be called */
+const char *get_text (void)
+{
+  return "Hello from filtee (PASS)";
+}
diff --git a/elf/tst-filterobj-filtee.h b/elf/tst-filterobj-filtee.h
new file mode 100644
index 0000000..46aee28
--- /dev/null
+++ b/elf/tst-filterobj-filtee.h
@@ -0,0 +1,24 @@
+/* Filtee header for BZ#16272 test.
+   Contains prototypes for symbols implemented in the filtee.
+
+   Copyright (C) 2020 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <https://www.gnu.org/licenses/>.  */
+
+const char *get_text (void);
+
+/* For testing auxiliary filter object.  */
+const char *get_text2 (void);
diff --git a/elf/tst-filterobj-flt.c b/elf/tst-filterobj-flt.c
new file mode 100644
index 0000000..5062654
--- /dev/null
+++ b/elf/tst-filterobj-flt.c
@@ -0,0 +1,27 @@
+/* Filter object for BZ#16272 test.
+   Contains symbols to be resolved in filtee.
+
+   Copyright (C) 2020 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <https://www.gnu.org/licenses/>.  */
+
+#include "tst-filterobj-filtee.h"
+
+/* We never want to see the output of the filter object */
+const char *get_text (void)
+{
+  return "Hello from filter object (FAIL)";
+}
diff --git a/elf/tst-filterobj.c b/elf/tst-filterobj.c
new file mode 100644
index 0000000..96bfae0
--- /dev/null
+++ b/elf/tst-filterobj.c
@@ -0,0 +1,36 @@
+/* Test that symbols from filter objects are resolved to the filtee.
+
+   Copyright (C) 2020 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <https://www.gnu.org/licenses/>.  */
+
+#include <stdio.h>
+#include <support/check.h>
+#include "tst-filterobj-filtee.h"
+
+static int do_test (void)
+{
+  const char* text = get_text ();
+
+  printf ("%s\n", text);
+
+  /* Verify the text matches what we expect from the filtee */
+  TEST_COMPARE_STRING (text, "Hello from filtee (PASS)");
+
+  return 0;
+}
+
+#include <support/test-driver.c>