diff --git a/SuiteSparse_config/CMakeLists.txt b/SuiteSparse_config/CMakeLists.txt
index 7c06afcb5..314331a2a 100644
--- a/SuiteSparse_config/CMakeLists.txt
+++ b/SuiteSparse_config/CMakeLists.txt
@@ -45,12 +45,17 @@ set ( CMAKE_MODULE_PATH ${CMAKE_MODULE_PATH}
 
 include ( SuiteSparsePolicy )
 
-if ( SUITESPARSE_HAS_FORTRAN )
-    include ( FortranCInterface )
-else ( )
-    # No Fortran compiler available or enabled, configuration is not automatic.
+if ( ( NOT SUITESPARSE_HAS_FORTRAN ) OR SUITESPARSE_BLAS_UNDERSCORE OR SUITESPARSE_BLAS_NO_UNDERSCORE )
+    # No Fortran compiler available or enabled, or either of the
+    # SUITESPARSE_BLAS_UNDERSCORE or SUITESPARSE_BLAS_NO_UNDERSCORE are set ON:
+    # configuration is not automatic.
     set ( FortranCInterface_GLOBAL_MACRO  ${SUITESPARSE_C_TO_FORTRAN} )
     set ( FortranCInterface_GLOBAL__MACRO ${SUITESPARSE_C_TO_FORTRAN} )
+else ( )
+    # A Fortran compiler is available and enabled, and both
+    # SUITESPARSE_BLAS_UNDERSCORE and SUITESPARSE_BLAS_NO_UNDERSCORE are set to
+    # their default values (OFF): configure the BLAS automatically.
+    include ( FortranCInterface )
 endif ( )
 
 message ( STATUS "C to Fortran calling protocol: ")
diff --git a/SuiteSparse_config/cmake_modules/SuiteSparsePolicy.cmake b/SuiteSparse_config/cmake_modules/SuiteSparsePolicy.cmake
index b6b195407..51d63eada 100644
--- a/SuiteSparse_config/cmake_modules/SuiteSparsePolicy.cmake
+++ b/SuiteSparse_config/cmake_modules/SuiteSparsePolicy.cmake
@@ -72,6 +72,25 @@
 #                       for your system.
 #                       Default: ON
 #
+#   SUITESPARSE_BLAS_UNDERSCORE: if ON, the SUITESPARSE_C_TO_FORTRAN setting
+#                       is ignored, and the Fortran compiler is also ignored
+#                       even if available and used.  The C-to-Fortran
+#                       convention "(name,NAME) name##_" is used, which forces
+#                       the appending of an underscore to the names of the
+#                       BLAS/LAPACK functions (dgemm_ for example).
+#                       Default: OFF
+#
+#   SUITESPARSE_BLAS_NO_UNDERSCORE: if ON and SUITESPARSE_BLAS_UNDERSCORE is
+#                       OFF, the SUITESPARSE_C_TO_FORTRAN setting is ignored,
+#                       and the Fortran compiler is also ignored even if
+#                       available and used.  The C-to-Fortran convention
+#                       "(name,NAME) name" is used, which forces NO appending of an
+#                       underscore to the names of the BLAS/LAPACK functions.
+#                       (dgemm for example).  Note that if
+#                       SUITESPARSE_BLAS_UNDERSCORE is set to ON, this setting
+#                       is ignored.
+#                       Default: OFF
+#
 #   SUITESPARSE_PKGFILEDIR: Directory where CMake Config and pkg-config files
 #                       will be installed.  By default, CMake Config files will
 #                       be installed in the subfolder `cmake` of the directory
@@ -297,8 +316,22 @@ if ( SUITESPARSE_USE_STRICT AND SUITESPARSE_USE_FORTRAN AND NOT SUITESPARSE_HAS_
     message ( FATAL_ERROR "Fortran required for SuiteSparse but not found" )
 endif ( )
 
-# default C-to-Fortran name mangling if Fortran compiler not found
-if ( MSVC )
+# C-to-Fortran name mangling
+option ( SUITESPARSE_BLAS_UNDERSCORE "OFF (default): do not force an underscore; ON: ignore Fortran and force calls to BLAS to use a trailing underscore (dgemm_)" OFF )
+option ( SUITESPARSE_BLAS_NO_UNDERSCORE "OFF (default): do not force no-underscore; ON: ignore Fortran and force calls to BLAS to NOT use a trailing underscore (dgemm)" OFF )
+if ( SUITESPARSE_BLAS_UNDERSCORE )
+    # Ignore the Fortran compiler even if used, also ignore the C compiler, and
+    # force an underscore to be appended to all calls to BLAS/LAPACK.
+    # Also force the name to be lowercase (dgemm_ for example).
+    set ( SUITESPARSE_C_TO_FORTRAN "(name,NAME) name##_"
+        CACHE STRING "C to Fortan name mangling" FORCE )
+elseif ( SUITESPARSE_BLAS_NO_UNDERSCORE )
+    # Ignore the Fortran compiler even if used, also ignore the C compiler, and
+    # force NO underscore to be appended to all calls to BLAS/LAPACK.
+    # Also force the name to be lowercase (dgemm for example).
+    set ( SUITESPARSE_C_TO_FORTRAN "(name,NAME) name"
+        CACHE STRING "C to Fortan name mangling" FORCE )
+elseif ( MSVC )
     # MS Visual Studio Fortran compiler does not mangle the Fortran name
     set ( SUITESPARSE_C_TO_FORTRAN "(name,NAME) name"
         CACHE STRING "C to Fortan name mangling" )