I read the section  "containers of containers" in manual, and try to write something as the following:

#include <boost/interprocess/containers/vector.hpp>
#include <boost/interprocess/allocators/allocator.hpp>
#include <boost/interprocess/managed_shared_memory.hpp>
#include <complex>

typedef boost::interprocess::allocator<std::complex<double>, boost::interprocess::managed_shared_memory::segment_manager>  ComplexAllocator;
typedef boost::interprocess::vector<std::complex<double>,ComplexAllocator> ComplexVector;

typedef boost::interprocess::allocator<ComplexVector, boost::interprocess::managed_shared_memory::segment_manager>  ComplexVectorAllocator;
typedef boost::interprocess::vector<ComplexVector,ComplexVectorAllocator> ComplexMatrix;

int main ()
{
   struct shm_remove
   {
      shm_remove() { boost::interprocess::shared_memory_object::remove("MySharedMemory"); }
      ~shm_remove(){ boost::interprocess::shared_memory_object::remove("MySharedMemory"); }
   } remover;
    boost::interprocess::create_only_t tag;
   boost::interprocess::managed_shared_memory segment(tag,
                                 "MySharedMemory", 
                                 65536);
   const ComplexVectorAllocator alloc_inst (segment.get_segment_manager());

   ComplexMatrix *m =
      segment.construct<ComplexMatrix>
         ("M")(alloc_inst);
   m->resize(4);
   segment.destroy<ComplexMatrix>("M");
   return 0;
}