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Quoting your README.md

"I really do not understand the difference between LAPACK, LAPACKE and CLAPACK there might be some confusion in the tutorials"

You might want to check this page for clarifications:
http://nicolas.limare.net/pro/notes/2014/10/31_cblas_clapack_lapacke/

"The reference Fortran code for BLAS and LAPACK defines de facto a Fortran API, implemented by multiple vendors with code tuned to get the best performance on a given hardware."
"CBLAS is in fact just a very thin layer (no performance penalty) over BLAS, with these benefits:"
"There also is something on Netlib called CLAPACK, but it is not a standard C interface to the Fortran LAPACK. CLAPACK is a translation of the Fortran LAPACK code into C."
"For LAPACK, the native C interface is LAPACKE, not CLAPACK"
"LAPACKE is to LAPACK what CBLAS is to BLAS"

When l complied the code ,there are two errors.l have tried several times,but l don't know how to solve it.

`shentu@shentu-Lenovo-Product:~/code/vnlb-master/build$ make
[ 11%] Built target iio

[ 22%] Built target tvl1flow

[ 33%] Built target tvl1flow-bin

[ 50%] Built target vidutils

[ 66%] Built target vnlb

[ 77%] Built target awgn

[ 83%] Linking CXX executable ../bin/vnlbayes

/usr/bin/ld: /usr/local/lib/liblapack.a(xerbla.o): undefined reference to symbol

'_gfortran_string_len_trim@@GFORTRAN_1.0'

//usr/lib/x86_64-linux-gnu/libgfortran.so.3: error adding symbols: DSO missing from command line

collect2: error: ld returned 1 exit status

src/CMakeFiles/vnlbayes.dir/build.make:101: recipe for target 'bin/vnlbayes' failed

make[2]: *** [bin/vnlbayes] Error 1

CMakeFiles/Makefile2:389: recipe for target 'src/CMakeFiles/vnlbayes.dir/all' failed

make[1]: *** [src/CMakeFiles/vnlbayes.dir/all] Error 2

Makefile:127: recipe for target 'all' failed

make: *** [all] Error 2

Quoting your README.md
"for some of the BLAS and CBLAS examples the -lgfortran is requred to compile. I don't know why!"

you probably mean link with -lgfortran, and not *compile.
that happens because when you want to link objects, some of which were compiled with gcc and some with gfortran, then you must use gfortran to link, or gcc plus the -lgfortran library

example:
gfortran fobject.o cobject.o -o program.bin
gcc fobject.o cobject.o -o program.bin -lgfortran