diff --git a/source/module_base/blas_connector.cpp b/source/module_base/blas_connector.cpp
index 69f51b744f..85ea4584e9 100644
--- a/source/module_base/blas_connector.cpp
+++ b/source/module_base/blas_connector.cpp
@@ -82,6 +82,7 @@ double BlasConnector::dot( const int n, const double *X, const int incX, const d
 }
 
 // C = a * A.? * B.? + b * C
+// Row-Major part
 void BlasConnector::gemm(const char transa, const char transb, const int m, const int n, const int k,
 	const float alpha, const float *a, const int lda, const float *b, const int ldb,
 	const float beta, float *c, const int ldc, base_device::AbacusDevice_t device_type)
@@ -154,6 +155,147 @@ void BlasConnector::gemm(const char transa, const char transb, const int m, cons
 	#endif
 }
 
+// Col-Major part
+void BlasConnector::gemm_cm(const char transa, const char transb, const int m, const int n, const int k,
+	const float alpha, const float *a, const int lda, const float *b, const int ldb,
+	const float beta, float *c, const int ldc, base_device::AbacusDevice_t device_type)
+{
+	if (device_type == base_device::AbacusDevice_t::CpuDevice) {
+		sgemm_(&transa, &transb, &m, &n, &k,
+		&alpha, a, &lda, b, &ldb,
+		&beta, c, &ldc);
+	}
+	#ifdef __DSP
+	else if (device_type == base_device::AbacusDevice_t::DspDevice){
+		sgemm_mth_(&transb, &transa, &m, &n, &k,
+		&alpha, a, &lda, b, &ldb,
+		&beta, c, &ldc, GlobalV::MY_RANK);
+	}
+	#endif
+}
+
+void BlasConnector::gemm_cm(const char transa, const char transb, const int m, const int n, const int k,
+	const double alpha, const double *a, const int lda, const double *b, const int ldb,
+	const double beta, double *c, const int ldc, base_device::AbacusDevice_t device_type)
+{
+	if (device_type == base_device::AbacusDevice_t::CpuDevice) {
+		dgemm_(&transa, &transb, &m, &n, &k,
+		&alpha, a, &lda, b, &ldb,
+		&beta, c, &ldc);
+	}
+	#ifdef __DSP
+	else if (device_type == base_device::AbacusDevice_t::DspDevice){
+		dgemm_mth_(&transa, &transb, &m, &n, &k,
+		&alpha, a, &lda, b, &ldb,
+		&beta, c, &ldc, GlobalV::MY_RANK);
+	}
+	#endif
+}
+
+void BlasConnector::gemm_cm(const char transa, const char transb, const int m, const int n, const int k,
+    const std::complex<float> alpha, const std::complex<float> *a, const int lda, const std::complex<float> *b, const int ldb,
+    const std::complex<float> beta, std::complex<float> *c, const int ldc, base_device::AbacusDevice_t device_type)
+{
+	if (device_type == base_device::AbacusDevice_t::CpuDevice) {
+    	cgemm_(&transa, &transb, &m, &n, &k,
+        &alpha, a, &lda, b, &ldb,
+        &beta, c, &ldc);
+	}
+	#ifdef __DSP
+	else if (device_type == base_device::AbacusDevice_t::DspDevice) {
+    	cgemm_mth_(&transa, &transb, &m, &n, &k,
+        &alpha, a, &lda, b, &ldb,
+        &beta, c, &ldc, GlobalV::MY_RANK);
+	}
+	#endif
+}
+
+void BlasConnector::gemm_cm(const char transa, const char transb, const int m, const int n, const int k,
+	const std::complex<double> alpha, const std::complex<double> *a, const int lda, const std::complex<double> *b, const int ldb,
+	const std::complex<double> beta, std::complex<double> *c, const int ldc, base_device::AbacusDevice_t device_type)
+{
+	if (device_type == base_device::AbacusDevice_t::CpuDevice) {
+		zgemm_(&transa, &transb, &m, &n, &k,
+		&alpha, a, &lda, b, &ldb,
+		&beta, c, &ldc);
+	}
+	#ifdef __DSP
+	else if (device_type == base_device::AbacusDevice_t::DspDevice) {
+    	zgemm_mth_(&transa, &transb, &m, &n, &k,
+        &alpha, a, &lda, b, &ldb,
+        &beta, c, &ldc, GlobalV::MY_RANK);
+	}
+	#endif
+}
+
+// Symm and Hemm part. Only col-major is supported.
+
+void BlasConnector::symm_cm(const char side, const char uplo, const int m, const int n,
+	const float alpha, const float *a, const int lda, const float *b, const int ldb,
+	const float beta, float *c, const int ldc, base_device::AbacusDevice_t device_type)
+{
+	if (device_type == base_device::AbacusDevice_t::CpuDevice) {
+		ssymm_(&side, &uplo, &m, &n,
+		&alpha, a, &lda, b, &ldb,
+		&beta, c, &ldc);
+	}
+}
+
+void BlasConnector::symm_cm(const char side, const char uplo, const int m, const int n,
+	const double alpha, const double *a, const int lda, const double *b, const int ldb,
+	const double beta, double *c, const int ldc, base_device::AbacusDevice_t device_type)
+{
+	if (device_type == base_device::AbacusDevice_t::CpuDevice) {
+		dsymm_(&side, &uplo, &m, &n,
+		&alpha, a, &lda, b, &ldb,
+		&beta, c, &ldc);
+	}
+}
+
+void BlasConnector::symm_cm(const char side, const char uplo, const int m, const int n,
+    const std::complex<float> alpha, const std::complex<float> *a, const int lda, const std::complex<float> *b, const int ldb,
+    const std::complex<float> beta, std::complex<float> *c, const int ldc, base_device::AbacusDevice_t device_type)
+{
+	if (device_type == base_device::AbacusDevice_t::CpuDevice) {
+    	csymm_(&side, &uplo, &m, &n,
+		&alpha, a, &lda, b, &ldb,
+		&beta, c, &ldc);
+	}
+}
+
+void BlasConnector::symm_cm(const char side, const char uplo, const int m, const int n,
+	const std::complex<double> alpha, const std::complex<double> *a, const int lda, const std::complex<double> *b, const int ldb,
+	const std::complex<double> beta, std::complex<double> *c, const int ldc, base_device::AbacusDevice_t device_type)
+{
+	if (device_type == base_device::AbacusDevice_t::CpuDevice) {
+		zsymm_(&side, &uplo, &m, &n,
+		&alpha, a, &lda, b, &ldb,
+		&beta, c, &ldc);
+	}
+}
+
+void BlasConnector::hemm_cm(char side, char uplo, int m, int n,
+    std::complex<float> alpha, std::complex<float> *a, int lda, std::complex<float> *b, int ldb,
+    std::complex<float> beta, std::complex<float> *c, int ldc, base_device::AbacusDevice_t device_type)
+{
+	if (device_type == base_device::AbacusDevice_t::CpuDevice) {
+    	chemm_(&side, &uplo, &m, &n,
+		&alpha, a, &lda, b, &ldb,
+		&beta, c, &ldc);
+	}
+}
+
+void BlasConnector::hemm_cm(char side, char uplo, int m, int n,
+	std::complex<double> alpha, std::complex<double> *a, int lda, std::complex<double> *b, int ldb,
+	std::complex<double> beta, std::complex<double> *c, int ldc, base_device::AbacusDevice_t device_type)
+{
+	if (device_type == base_device::AbacusDevice_t::CpuDevice) {
+		zhemm_(&side, &uplo, &m, &n,
+		&alpha, a, &lda, b, &ldb,
+		&beta, c, &ldc);
+	}
+}
+
 void BlasConnector::gemv(const char trans, const int m, const int n,
     const float alpha, const float* A, const int lda, const float* X, const int incx,
     const float beta, float* Y, const int incy, base_device::AbacusDevice_t device_type)
@@ -190,7 +332,6 @@ void BlasConnector::gemv(const char trans, const int m, const int n,
 }
 }
 
-
 // out = ||x||_2
 float BlasConnector::nrm2( const int n, const float *X, const int incX, base_device::AbacusDevice_t device_type )
 {
diff --git a/source/module_base/blas_connector.h b/source/module_base/blas_connector.h
index 090d8512ee..7675429520 100644
--- a/source/module_base/blas_connector.h
+++ b/source/module_base/blas_connector.h
@@ -111,11 +111,23 @@ extern "C"
 		const std::complex<double> *alpha, const std::complex<double> *a, const int *lda, const std::complex<double> *b, const int *ldb,
 		const std::complex<double> *beta, std::complex<double> *c, const int *ldc);
 
-	//a is symmetric
+	// A is symmetric. C = a * A.? * B.? + b * C
+	void ssymm_(const char *side, const char *uplo, const int *m, const int *n,
+		const float *alpha, const float *a, const int *lda, const float *b, const int *ldb,
+		const float *beta, float *c, const int *ldc);
 	void dsymm_(const char *side, const char *uplo, const int *m, const int *n,
 		const double *alpha, const double *a, const int *lda, const double *b, const int *ldb,
 		const double *beta, double *c, const int *ldc);
-	//a is hermitian
+	void csymm_(const char *side, const char *uplo, const int *m, const int *n,
+		const std::complex<float> *alpha, const std::complex<float> *a, const int *lda, const std::complex<float> *b, const int *ldb,
+		const std::complex<float> *beta, std::complex<float> *c, const int *ldc);
+	void zsymm_(const char *side, const char *uplo, const int *m, const int *n,
+		const std::complex<double> *alpha, const std::complex<double> *a, const int *lda, const std::complex<double> *b, const int *ldb,
+		const std::complex<double> *beta, std::complex<double> *c, const int *ldc);
+
+	// A is hermitian. C = a * A.? * B.? + b * C
+	void chemm_(char *side, char *uplo, int *m, int *n,std::complex<float> *alpha,
+		std::complex<float> *a,  int *lda,  std::complex<float> *b, int *ldb, std::complex<float> *beta, std::complex<float> *c, int *ldc);
 	void zhemm_(char *side, char *uplo, int *m, int *n,std::complex<double> *alpha,
 		std::complex<double> *a,  int *lda,  std::complex<double> *b, int *ldb, std::complex<double> *beta, std::complex<double> *c, int *ldc);
 
@@ -175,6 +187,7 @@ class BlasConnector
 
 	// Peize Lin add 2017-10-27, fix bug trans 2019-01-17
 	// C = a * A.? * B.? + b * C
+	// Row Major by default
 	static
 	void gemm(const char transa, const char transb, const int m, const int n, const int k,
 		const float alpha, const float *a, const int lda, const float *b, const int ldb,
@@ -195,6 +208,61 @@ class BlasConnector
 		const std::complex<double> alpha, const std::complex<double> *a, const int lda, const std::complex<double> *b, const int ldb,
 		const std::complex<double> beta, std::complex<double> *c, const int ldc, base_device::AbacusDevice_t device_type = base_device::AbacusDevice_t::CpuDevice);
 
+	// Col-Major if you need to use it
+
+	static
+	void gemm_cm(const char transa, const char transb, const int m, const int n, const int k,
+		const float alpha, const float *a, const int lda, const float *b, const int ldb,
+		const float beta, float *c, const int ldc, base_device::AbacusDevice_t device_type = base_device::AbacusDevice_t::CpuDevice);
+
+	static
+	void gemm_cm(const char transa, const char transb, const int m, const int n, const int k,
+		const double alpha, const double *a, const int lda, const double *b, const int ldb,
+		const double beta, double *c, const int ldc, base_device::AbacusDevice_t device_type = base_device::AbacusDevice_t::CpuDevice);
+
+    static
+    void gemm_cm(const char transa, const char transb, const int m, const int n, const int k,
+              const std::complex<float> alpha, const std::complex<float> *a, const int lda, const std::complex<float> *b, const int ldb,
+              const std::complex<float> beta, std::complex<float> *c, const int ldc, base_device::AbacusDevice_t device_type = base_device::AbacusDevice_t::CpuDevice);
+
+	static
+	void gemm_cm(const char transa, const char transb, const int m, const int n, const int k,
+		const std::complex<double> alpha, const std::complex<double> *a, const int lda, const std::complex<double> *b, const int ldb,
+		const std::complex<double> beta, std::complex<double> *c, const int ldc, base_device::AbacusDevice_t device_type = base_device::AbacusDevice_t::CpuDevice);
+
+	// Because you cannot pack symm or hemm into a row-major kernel by exchanging parameters, so only col-major functions are provided.
+	static
+	void symm_cm(const char side, const char uplo, const int m, const int n,
+		const float alpha, const float *a, const int lda, const float *b, const int ldb,
+		const float beta, float *c, const int ldc, base_device::AbacusDevice_t device_type = base_device::AbacusDevice_t::CpuDevice);
+
+	static
+	void symm_cm(const char side, const char uplo, const int m, const int n,
+		const double alpha, const double *a, const int lda, const double *b, const int ldb,
+		const double beta, double *c, const int ldc, base_device::AbacusDevice_t device_type = base_device::AbacusDevice_t::CpuDevice);
+
+    static
+    void symm_cm(const char side, const char uplo, const int m, const int n,
+              const std::complex<float> alpha, const std::complex<float> *a, const int lda, const std::complex<float> *b, const int ldb,
+              const std::complex<float> beta, std::complex<float> *c, const int ldc, base_device::AbacusDevice_t device_type = base_device::AbacusDevice_t::CpuDevice);
+
+	static
+	void symm_cm(const char side, const char uplo, const int m, const int n,
+		const std::complex<double> alpha, const std::complex<double> *a, const int lda, const std::complex<double> *b, const int ldb,
+		const std::complex<double> beta, std::complex<double> *c, const int ldc, base_device::AbacusDevice_t device_type = base_device::AbacusDevice_t::CpuDevice);
+
+	static
+    void hemm_cm(char side, char uplo, int m, int n,
+            std::complex<float> alpha, std::complex<float> *a, int lda, std::complex<float> *b, int ldb,
+            std::complex<float> beta, std::complex<float> *c, int ldc, base_device::AbacusDevice_t device_type = base_device::AbacusDevice_t::CpuDevice);
+
+	static
+	void hemm_cm(char side, char uplo, int m, int n,
+		std::complex<double> alpha, std::complex<double> *a, int lda, std::complex<double> *b, int ldb,
+		std::complex<double> beta, std::complex<double> *c, int ldc, base_device::AbacusDevice_t device_type = base_device::AbacusDevice_t::CpuDevice);
+
+	// y = A*x + beta*y
+
 	static
 	void gemv(const char trans, const int m, const int n,
         const float alpha, const float* A, const int lda, const float* X, const int incx,
@@ -234,6 +302,8 @@ class BlasConnector
 
 	static
 	void copy(const long n, const std::complex<double> *a, const int incx, std::complex<double> *b, const int incy, base_device::AbacusDevice_t device_type = base_device::AbacusDevice_t::CpuDevice);
+
+	// A is symmetric
 };
 
 // If GATHER_INFO is defined, the original function is replaced with a "i" suffix,
diff --git a/source/module_hamilt_lcao/module_gint/mult_psi_dmr.cpp b/source/module_hamilt_lcao/module_gint/mult_psi_dmr.cpp
index fabe3b0773..efa51ec4a6 100644
--- a/source/module_hamilt_lcao/module_gint/mult_psi_dmr.cpp
+++ b/source/module_hamilt_lcao/module_gint/mult_psi_dmr.cpp
@@ -1,6 +1,7 @@
 #include "gint_tools.h"
 #include "module_base/timer.h"
 #include "module_base/ylm.h"
+#include "module_base/blas_connector.h"
 
 namespace Gint_Tools{
 
@@ -60,8 +61,8 @@ void mult_psi_DMR(
             
             const auto tmp_matrix_ptr = tmp_matrix->get_pointer();
             const int idx1 = block_index[ia1];
-            dsymm_(&side, &uplo, &block_size[ia1], &ib_len, &alpha, tmp_matrix_ptr, &block_size[ia1],
-                    &psi[ib_start][idx1], &LD_pool, &beta, &psi_DMR[ib_start][idx1], &LD_pool);
+            BlasConnector::symm_cm(side, uplo, block_size[ia1], ib_len, alpha, tmp_matrix_ptr, block_size[ia1],
+                    &psi[ib_start][idx1], LD_pool, beta, &psi_DMR[ib_start][idx1], LD_pool);
         }
 
         //! get (j,beta,R2)