diff --git a/kernel/x86_64/KERNEL.SKYLAKEX b/kernel/x86_64/KERNEL.SKYLAKEX
index 0f58a4d46..a3c6f0556 100644
--- a/kernel/x86_64/KERNEL.SKYLAKEX
+++ b/kernel/x86_64/KERNEL.SKYLAKEX
@@ -27,6 +27,8 @@ DGEMMITCOPY    =  dgemm_tcopy_16_skylakex.c
 DGEMMONCOPY    =  ../generic/gemm_ncopy_2.c
 DGEMMOTCOPY    =  ../generic/gemm_tcopy_2.c
 DTRSMKERNEL_RN =  ../generic/trsm_kernel_RN.c
+DGEMM_SMALL_K_NN = dgemm_small_kernel_nn_skylakex.c
+DGEMM_SMALL_K_B0_NN = dgemm_small_kernel_b0_nn_skylakex.c
 
 SGEMM_BETA = sgemm_beta_skylakex.c
 DGEMM_BETA = dgemm_beta_skylakex.c
diff --git a/kernel/x86_64/dgemm_small_kernel_b0_nn_skylakex.c b/kernel/x86_64/dgemm_small_kernel_b0_nn_skylakex.c
new file mode 100644
index 000000000..a58738a25
--- /dev/null
+++ b/kernel/x86_64/dgemm_small_kernel_b0_nn_skylakex.c
@@ -0,0 +1,2 @@
+#define B0 1
+#include "./dgemm_small_kernel_nn_skylakex.c"
diff --git a/kernel/x86_64/dgemm_small_kernel_nn_skylakex.c b/kernel/x86_64/dgemm_small_kernel_nn_skylakex.c
new file mode 100644
index 000000000..8ffb899c8
--- /dev/null
+++ b/kernel/x86_64/dgemm_small_kernel_nn_skylakex.c
@@ -0,0 +1,590 @@
+/***************************************************************************
+Copyright (c) 2021, The OpenBLAS Project
+All rights reserved.
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+1. Redistributions of source code must retain the above copyright
+notice, this list of conditions and the following disclaimer.
+2. Redistributions in binary form must reproduce the above copyright
+notice, this list of conditions and the following disclaimer in
+the documentation and/or other materials provided with the
+distribution.
+3. Neither the name of the OpenBLAS project nor the names of
+its contributors may be used to endorse or promote products
+derived from this software without specific prior written permission.
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE OPENBLAS PROJECT OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*****************************************************************************/
+
+#include <immintrin.h>
+#include "common.h"
+#include <stdio.h>
+#include <memory.h>
+
+#define DECLARE_RESULT_512(M, N) __m512d result##M##N = _mm512_setzero_pd()
+#define LOAD_A_512(M, N) __m512d Aval##M = _mm512_loadu_pd(&A[lda * k + i + (M*8)])
+#define MASK_LOAD_A_512(M, N) __m512d Aval##M = _mm512_maskz_loadu_pd(mask, &A[lda * k + i + (M*8)])
+#define BROADCAST_LOAD_B_512(M, N) __m512d Bval##N = _mm512_broadcastsd_pd(_mm_load_pd1(&B[k + ldb * (j+N)]))
+#define MATMUL_512(M, N) result##M##N = _mm512_fmadd_pd(Aval##M, Bval##N, result##M##N)
+#if defined(B0)
+#define STORE_512(M, N) result##M##N = _mm512_mul_pd(result##M##N, alpha_512); \
+			_mm512_storeu_pd(&C[(j+N)*ldc + i + (M*8)], result##M##N)
+#define MASK_STORE_512(M, N) result##M##N = _mm512_mul_pd(result##M##N, alpha_512); \
+			_mm512_mask_storeu_pd(&C[(j+N)*ldc + i + (M*8)], mask, result##M##N)
+#else
+#define STORE_512(M, N) \
+	result##M##N = _mm512_mul_pd(result##M##N, alpha_512); \
+	asm("vfmadd231pd (%1), %2, %0": "+v"(result##M##N):"r"(&C[(j+N)*ldc + i + (M*8)]), "v"(beta_512)); \
+	_mm512_storeu_pd(&C[(j+N)*ldc + i + (M*8)], result##M##N)
+#define MASK_STORE_512(M, N) \
+	result##M##N = _mm512_mul_pd(result##M##N, alpha_512); \
+	asm("vfmadd231pd (%1), %2, %0 %{%3%}": "+v"(result##M##N):"r"(&C[(j+N)*ldc + i + (M*8)]), "v"(beta_512), "k"(mask)); \
+	_mm512_mask_storeu_pd(&C[(j+N)*ldc + i + (M*8)], mask, result##M##N)
+#endif
+
+#define LOAD_KA_512(M, N) __m512d Aval##M = _mm512_loadu_pd(&mbuf[(mi + M)*K + k]);
+#define LOAD_KB_512(M, N) __m512d Bval##N = _mm512_loadu_pd(&B[(j + N)*ldb + k])
+#define MASK_LOAD_KA_512(M, N) __m512d Aval##M = _mm512_maskz_loadu_pd(mask, &mbuf[(mi + M)*K + k])
+#define MASK_LOAD_KB_512(M, N) __m512d Bval##N = _mm512_maskz_loadu_pd(mask, &B[(j + N)*ldb + k])
+#define REDUCE_4(rr0, rr1, rr2, rr3) \
+	__m512d r0, r1, r2, r3, t0, t1, t2, t3;\
+	r0 = _mm512_unpacklo_pd(rr0, rr1); r1 = _mm512_unpackhi_pd(rr0, rr1); \
+	r2 = _mm512_unpacklo_pd(rr2, rr3); r3 = _mm512_unpackhi_pd(rr2, rr3); \
+	t0 = _mm512_permutex2var_pd(r0, idx_lo, r2); t1 = _mm512_permutex2var_pd(r1, idx_lo, r3); \
+	t2 = _mm512_permutex2var_pd(r0, idx_hi, r2); t3 = _mm512_permutex2var_pd(r1, idx_hi, r3); \
+	r0 = _mm512_add_pd(t0, t1); r1 = _mm512_add_pd(t2, t3); t0 = _mm512_add_pd(r0, r1); \
+	__m256d s0, s1; \
+	s0 = _mm512_extractf64x4_pd(t0, 0); s1 = _mm512_extractf64x4_pd(t0, 1); \
+	s0 = _mm256_add_pd(s0, s1); s0 = _mm256_mul_pd(alpha_256, s0);
+#define REDUCE_M4(N) REDUCE_4(result0##N, result1##N, result2##N, result3##N)
+#define REDUCE_N4(M) REDUCE_4(result##M##0, result##M##1, result##M##2, result##M##3)
+#if defined(B0)
+#define STORE_REDUCE(M, N) C[(j+N)*ldc + i + M] = alpha * _mm512_reduce_add_pd(result##M##N);
+#define STORE_REDUCE_M4(N) {\
+	REDUCE_M4(N) \
+	_mm256_storeu_pd(&C[(j + N)*ldc + i], s0); \
+}
+#define STORE_REDUCE_N4(M) {\
+	REDUCE_N4(M) \
+	_mm256_i64scatter_pd(&C[j*ldc + i + M], vindex_n, s0, 8); \
+}
+#else
+#define STORE_REDUCE(M, N) C[(j+N)*ldc + i + M] = alpha * _mm512_reduce_add_pd(result##M##N) + beta * C[(j+N)*ldc + i + M];
+#define STORE_REDUCE_M4(N) {\
+	REDUCE_M4(N) \
+	asm("vfmadd231pd (%1), %2, %0": "+v"(s0):"r"(&C[(j + N)*ldc + i]), "v"(beta_256)); \
+	_mm256_storeu_pd(&C[(j + N)*ldc + i], s0); \
+}
+#define STORE_REDUCE_N4(M) {\
+	REDUCE_N4(M) \
+	s1 = _mm256_i64gather_pd(&C[j*ldc + i + M], vindex_n, 8); \
+	s0 = _mm256_fmadd_pd(s1, beta_256, s0); \
+	_mm256_i64scatter_pd(&C[j*ldc + i + M], vindex_n, s0, 8); \
+}
+#endif
+
+#if defined(B0)
+int CNAME(BLASLONG M, BLASLONG N, BLASLONG K, FLOAT * A, BLASLONG lda, FLOAT alpha, FLOAT * B, BLASLONG ldb, FLOAT * C, BLASLONG ldc)
+#else
+int CNAME(BLASLONG M, BLASLONG N, BLASLONG K, FLOAT * A, BLASLONG lda, FLOAT alpha, FLOAT * B, BLASLONG ldb, FLOAT beta, FLOAT * C, BLASLONG ldc)
+#endif
+{
+	// column major
+	BLASLONG i, j, k;
+
+	BLASLONG m32 = M & ~31;
+	BLASLONG m16 = M & ~15;
+	BLASLONG m8 = M & ~7;
+	BLASLONG m4 = M & ~3;
+	BLASLONG m2 = M & ~1;
+
+	BLASLONG n6 = N - (N % 6);
+	BLASLONG n4 = N & ~3;
+	BLASLONG n2 = N & ~1;
+
+
+	__m512d alpha_512 = _mm512_broadcastsd_pd(_mm_load_pd1(&alpha));
+#if !defined(B0)
+	__m512d beta_512 = _mm512_broadcastsd_pd(_mm_load_pd1(&beta));
+#endif
+
+	for (i = 0; i < m32; i += 32) {
+		for (j = 0; j < n4; j += 4) {
+			DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
+			DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1); DECLARE_RESULT_512(2, 1); DECLARE_RESULT_512(3, 1);
+			DECLARE_RESULT_512(0, 2); DECLARE_RESULT_512(1, 2); DECLARE_RESULT_512(2, 2); DECLARE_RESULT_512(3, 2);
+			DECLARE_RESULT_512(0, 3); DECLARE_RESULT_512(1, 3); DECLARE_RESULT_512(2, 3); DECLARE_RESULT_512(3, 3);
+
+			for (k = 0; k < K; k++) {
+				LOAD_A_512(0, x); LOAD_A_512(1, x); LOAD_A_512(2, x); LOAD_A_512(3, x);
+
+				BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
+				BROADCAST_LOAD_B_512(x, 2); BROADCAST_LOAD_B_512(x, 3);
+
+				MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
+				MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1);
+				MATMUL_512(0, 2); MATMUL_512(1, 2); MATMUL_512(2, 2); MATMUL_512(3, 2);
+				MATMUL_512(0, 3); MATMUL_512(1, 3); MATMUL_512(2, 3); MATMUL_512(3, 3);
+			}
+			STORE_512(0, 0); STORE_512(1, 0); STORE_512(2, 0); STORE_512(3, 0);
+			STORE_512(0, 1); STORE_512(1, 1); STORE_512(2, 1); STORE_512(3, 1);
+			STORE_512(0, 2); STORE_512(1, 2); STORE_512(2, 2); STORE_512(3, 2);
+			STORE_512(0, 3); STORE_512(1, 3); STORE_512(2, 3); STORE_512(3, 3);
+		}
+		for (; j < n2; j += 2) {
+			DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
+			DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1); DECLARE_RESULT_512(2, 1); DECLARE_RESULT_512(3, 1);
+			for (k = 0; k < K; k++) {
+				LOAD_A_512(0, x); LOAD_A_512(1, x); LOAD_A_512(2, x); LOAD_A_512(3, x);
+				BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
+				MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
+				MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1);
+			}
+			STORE_512(0, 0); STORE_512(1, 0); STORE_512(2, 0); STORE_512(3, 0);
+			STORE_512(0, 1); STORE_512(1, 1); STORE_512(2, 1); STORE_512(3, 1);
+		}
+		for (; j < N; j++) {
+			DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
+			for (k = 0; k < K; k++) {
+				LOAD_A_512(0, x); LOAD_A_512(1, x); LOAD_A_512(2, x); LOAD_A_512(3, x);
+				BROADCAST_LOAD_B_512(x, 0);
+				MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
+			}
+			STORE_512(0, 0); STORE_512(1, 0); STORE_512(2, 0); STORE_512(3, 0);
+		}
+	}
+	for (; i < m16; i += 16) {
+		for (j = 0; j < n6; j += 6) {
+			DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
+			DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1);
+			DECLARE_RESULT_512(0, 2); DECLARE_RESULT_512(1, 2);
+			DECLARE_RESULT_512(0, 3); DECLARE_RESULT_512(1, 3);
+			DECLARE_RESULT_512(0, 4); DECLARE_RESULT_512(1, 4);
+			DECLARE_RESULT_512(0, 5); DECLARE_RESULT_512(1, 5);
+			for (k = 0; k < K; k++) {
+				LOAD_A_512(0, x); LOAD_A_512(1, x);
+				BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
+				BROADCAST_LOAD_B_512(x, 2); BROADCAST_LOAD_B_512(x, 3);
+				BROADCAST_LOAD_B_512(x, 4); BROADCAST_LOAD_B_512(x, 5);
+
+				MATMUL_512(0, 0); MATMUL_512(1, 0);
+				MATMUL_512(0, 1); MATMUL_512(1, 1);
+				MATMUL_512(0, 2); MATMUL_512(1, 2);
+				MATMUL_512(0, 3); MATMUL_512(1, 3);
+				MATMUL_512(0, 4); MATMUL_512(1, 4);
+				MATMUL_512(0, 5); MATMUL_512(1, 5);
+			}
+			STORE_512(0, 0); STORE_512(1, 0);
+			STORE_512(0, 1); STORE_512(1, 1);
+			STORE_512(0, 2); STORE_512(1, 2);
+			STORE_512(0, 3); STORE_512(1, 3);
+			STORE_512(0, 4); STORE_512(1, 4);
+			STORE_512(0, 5); STORE_512(1, 5);
+		}
+		for (; j < n2; j += 2) {
+			DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
+			DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1);
+			for (k = 0; k < K; k++) {
+				LOAD_A_512(0, x); LOAD_A_512(1, x);
+				BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
+				MATMUL_512(0, 0); MATMUL_512(1, 0);
+				MATMUL_512(0, 1); MATMUL_512(1, 1);
+			}
+			STORE_512(0, 0); STORE_512(1, 0);
+			STORE_512(0, 1); STORE_512(1, 1);
+		}
+		for (; j < N; j++) {
+			DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
+			for (k = 0; k < K; k++) {
+				LOAD_A_512(0, x); LOAD_A_512(1, x);
+				BROADCAST_LOAD_B_512(x, 0);
+				MATMUL_512(0, 0); MATMUL_512(1, 0);
+			}
+			STORE_512(0, 0); STORE_512(1, 0);
+		}
+	}
+	for (; i < m8; i += 8) {
+		for (j = 0; j < n6; j += 6) {
+			DECLARE_RESULT_512(0, 0);
+			DECLARE_RESULT_512(0, 1);
+			DECLARE_RESULT_512(0, 2);
+			DECLARE_RESULT_512(0, 3);
+			DECLARE_RESULT_512(0, 4);
+			DECLARE_RESULT_512(0, 5);
+			for (k = 0; k < K; k++) {
+				LOAD_A_512(0, x);
+				BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
+				BROADCAST_LOAD_B_512(x, 2); BROADCAST_LOAD_B_512(x, 3);
+				BROADCAST_LOAD_B_512(x, 4); BROADCAST_LOAD_B_512(x, 5);
+
+				MATMUL_512(0, 0);
+				MATMUL_512(0, 1);
+				MATMUL_512(0, 2);
+				MATMUL_512(0, 3);
+				MATMUL_512(0, 4);
+				MATMUL_512(0, 5);
+			}
+			STORE_512(0, 0);
+			STORE_512(0, 1);
+			STORE_512(0, 2);
+			STORE_512(0, 3);
+			STORE_512(0, 4);
+			STORE_512(0, 5);
+		}
+		for (; j < n2; j += 2) {
+			DECLARE_RESULT_512(0, 0);
+			DECLARE_RESULT_512(0, 1);
+			for (k = 0; k < K; k++) {
+				LOAD_A_512(0, x);
+				BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
+				MATMUL_512(0, 0);
+				MATMUL_512(0, 1);
+			}
+			STORE_512(0, 0);
+			STORE_512(0, 1);
+		}
+		for (; j < N; j++) {
+			DECLARE_RESULT_512(0, 0);
+			for (k = 0; k < K; k++) {
+				LOAD_A_512(0, x);
+				BROADCAST_LOAD_B_512(x, 0);
+				MATMUL_512(0, 0);
+			}
+			STORE_512(0, 0);
+		}
+	}
+	int mm = M - i;
+	if (!mm) return 0;
+	if (mm > 4 || K < 16) {
+		register __mmask8 mask asm("k1") = (1UL << mm) - 1;
+		for (j = 0; j < n6; j += 6) {
+			DECLARE_RESULT_512(0, 0);
+			DECLARE_RESULT_512(0, 1);
+			DECLARE_RESULT_512(0, 2);
+			DECLARE_RESULT_512(0, 3);
+			DECLARE_RESULT_512(0, 4);
+			DECLARE_RESULT_512(0, 5);
+			for (k = 0; k < K; k++) {
+				MASK_LOAD_A_512(0, x);
+				BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
+				BROADCAST_LOAD_B_512(x, 2); BROADCAST_LOAD_B_512(x, 3);
+				BROADCAST_LOAD_B_512(x, 4); BROADCAST_LOAD_B_512(x, 5);
+
+				MATMUL_512(0, 0);
+				MATMUL_512(0, 1);
+				MATMUL_512(0, 2);
+				MATMUL_512(0, 3);
+				MATMUL_512(0, 4);
+				MATMUL_512(0, 5);
+			}
+			MASK_STORE_512(0, 0);
+			MASK_STORE_512(0, 1);
+			MASK_STORE_512(0, 2);
+			MASK_STORE_512(0, 3);
+			MASK_STORE_512(0, 4);
+			MASK_STORE_512(0, 5);
+		}
+		for (; j < n2; j += 2) {
+			DECLARE_RESULT_512(0, 0);
+			DECLARE_RESULT_512(0, 1);
+			for (k = 0; k < K; k++) {
+				MASK_LOAD_A_512(0, x);
+				BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
+				MATMUL_512(0, 0);
+				MATMUL_512(0, 1);
+			}
+			MASK_STORE_512(0, 0);
+			MASK_STORE_512(0, 1);
+		}
+		for (; j < N; j++) {
+			DECLARE_RESULT_512(0, 0);
+			for (k = 0; k < K; k++) {
+				MASK_LOAD_A_512(0, x);
+				BROADCAST_LOAD_B_512(x, 0);
+				MATMUL_512(0, 0);
+			}
+			MASK_STORE_512(0, 0);
+		}
+	} else {
+		/* M => [1, 4]
+		 *
+		 * This kernel use dot-like style to calc a value - C(x, y):
+		 * C(x, y) = A(x, 0)*B(0, y) + A(x, 1)*B(1, y) +....+ A(x, K)*B(K, y)
+		 *
+		 * Alloc a buf to copy rest of A as row major,
+		 * so memory access from 0 to K is continuous for both A & B.
+		 *
+		 * Loading to zmm and FMA 8 of k at one loop,
+		 * finally reduce_add zmm to a single float result in C(x, y).
+		 *
+		 * Note: performance is bad when K is small.
+		 */
+		FLOAT *mbuf = (FLOAT *) malloc(sizeof(FLOAT)*mm*K);
+		__mmask8 mask = (1UL << mm) - 1;
+		BLASLONG k8 = K & ~7;
+		BLASLONG k4 = K & ~3;
+		for (k = 0; k < k4; k += 4) {
+			__m256d  r0, r1, r2, r3;
+			__m256d  t0, t1, t2, t3;
+			r0 = _mm256_maskz_loadu_pd(mask, &A[i + lda*(0 + k)]);
+			r1 = _mm256_maskz_loadu_pd(mask, &A[i + lda*(1 + k)]);
+			r2 = _mm256_maskz_loadu_pd(mask, &A[i + lda*(2 + k)]);
+			r3 = _mm256_maskz_loadu_pd(mask, &A[i + lda*(3 + k)]);
+
+			t0 = _mm256_unpacklo_pd(r0, r1);
+			t1 = _mm256_unpackhi_pd(r0, r1);
+			t2 = _mm256_unpacklo_pd(r2, r3);
+			t3 = _mm256_unpackhi_pd(r2, r3);
+
+			r0 = _mm256_permute2f128_pd(t0, t2, 0x20);
+			r1 = _mm256_permute2f128_pd(t1, t3, 0x20);
+			r2 = _mm256_permute2f128_pd(t0, t2, 0x31);
+			r3 = _mm256_permute2f128_pd(t1, t3, 0x31);
+
+			switch (mm) {
+				case 4: _mm256_storeu_pd(&mbuf[k + 3*K], r3);
+				case 3: _mm256_storeu_pd(&mbuf[k + 2*K], r2);
+				case 2: _mm256_storeu_pd(&mbuf[k + 1*K], r1);
+				case 1: _mm256_storeu_pd(&mbuf[k + 0*K], r0);
+			}
+		}
+		for (; k < K; k++) {
+			for (int ii = 0; ii < mm; ii++) {
+				mbuf[k + ii*K] = A[i + lda*k + ii];
+			}
+		}
+		int mi = 0;
+		__m256d alpha_256 = _mm256_broadcast_sd(&alpha);
+#if !defined(B0)
+		__m256d beta_256 = _mm256_broadcast_sd(&beta);
+#endif
+		__m256i vindex_n = _mm256_set_epi64x(ldc*3, ldc*2, ldc*1, 0);
+		long long permute_table[] = {
+			0, 1, 0|8, 1|8, 4, 5, 4|8, 5|8,
+			2, 3, 2|8, 3|8, 6, 7, 6|8, 7|8,
+		};
+		__m512i idx_lo = _mm512_loadu_epi32(permute_table);
+		__m512i idx_hi = _mm512_loadu_epi32(permute_table + 8);
+		for (; i < m4; i += 4, mi += 4) {
+			for (j = 0; j < n4; j += 4) {
+				DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
+				DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1); DECLARE_RESULT_512(2, 1); DECLARE_RESULT_512(3, 1);
+				DECLARE_RESULT_512(0, 2); DECLARE_RESULT_512(1, 2); DECLARE_RESULT_512(2, 2); DECLARE_RESULT_512(3, 2);
+				DECLARE_RESULT_512(0, 3); DECLARE_RESULT_512(1, 3); DECLARE_RESULT_512(2, 3); DECLARE_RESULT_512(3, 3);
+				for (k = 0; k < k8; k += 8) {
+					LOAD_KA_512(0, x); LOAD_KA_512(1, x); LOAD_KA_512(2, x); LOAD_KA_512(3, x);
+					LOAD_KB_512(x, 0); LOAD_KB_512(x, 1); LOAD_KB_512(x, 2); LOAD_KB_512(x, 3);
+
+					MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
+					MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1);
+					MATMUL_512(0, 2); MATMUL_512(1, 2); MATMUL_512(2, 2); MATMUL_512(3, 2);
+					MATMUL_512(0, 3); MATMUL_512(1, 3); MATMUL_512(2, 3); MATMUL_512(3, 3);
+				}
+				int remains = K - k;
+				if (remains) {
+					mask = (1UL << remains) - 1;
+					MASK_LOAD_KA_512(0, x); MASK_LOAD_KA_512(1, x); MASK_LOAD_KA_512(2, x); MASK_LOAD_KA_512(3, x);
+					MASK_LOAD_KB_512(x, 0); MASK_LOAD_KB_512(x, 1); MASK_LOAD_KB_512(x, 2); MASK_LOAD_KB_512(x, 3);
+
+					MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
+					MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1);
+					MATMUL_512(0, 2); MATMUL_512(1, 2); MATMUL_512(2, 2); MATMUL_512(3, 2);
+					MATMUL_512(0, 3); MATMUL_512(1, 3); MATMUL_512(2, 3); MATMUL_512(3, 3);
+				}
+				STORE_REDUCE_M4(0); STORE_REDUCE_M4(1); STORE_REDUCE_M4(2); STORE_REDUCE_M4(3);
+			}
+			for (; j < n2; j += 2) {
+				DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
+				DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1); DECLARE_RESULT_512(2, 1); DECLARE_RESULT_512(3, 1);
+				for (k = 0; k < k8; k += 8) {
+					LOAD_KA_512(0, x); LOAD_KA_512(1, x); LOAD_KA_512(2, x); LOAD_KA_512(3, x);
+					LOAD_KB_512(x, 0); LOAD_KB_512(x, 1);
+
+					MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
+					MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1);
+				}
+				int remains = K - k;
+				if (remains) {
+					mask = (1UL << remains) - 1;
+					MASK_LOAD_KA_512(0, x); MASK_LOAD_KA_512(1, x); MASK_LOAD_KA_512(2, x); MASK_LOAD_KA_512(3, x);
+					MASK_LOAD_KB_512(x, 0); MASK_LOAD_KB_512(x, 1);
+
+					MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
+					MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1);
+				}
+				STORE_REDUCE_M4(0); STORE_REDUCE_M4(1);
+			}
+			for (; j < N; j += 1) {
+				DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
+				for (k = 0; k < k8; k += 8) {
+					LOAD_KA_512(0, x); LOAD_KA_512(1, x); LOAD_KA_512(2, x); LOAD_KA_512(3, x);
+					LOAD_KB_512(x, 0);
+
+					MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
+				}
+				int remains = K - k;
+				if (remains) {
+					mask = (1UL << remains) - 1;
+					MASK_LOAD_KA_512(0, x); MASK_LOAD_KA_512(1, x); MASK_LOAD_KA_512(2, x); MASK_LOAD_KA_512(3, x);
+					MASK_LOAD_KB_512(x, 0);
+
+					MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
+				}
+				STORE_REDUCE_M4(0);
+			}
+
+		}
+		for (; i < m2; i += 2, mi += 2) {
+			for (j = 0; j < n4; j += 4) {
+				DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
+				DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1);
+				DECLARE_RESULT_512(0, 2); DECLARE_RESULT_512(1, 2);
+				DECLARE_RESULT_512(0, 3); DECLARE_RESULT_512(1, 3);
+				for (k = 0; k < k8; k += 8) {
+					LOAD_KA_512(0, x); LOAD_KA_512(1, x);
+					LOAD_KB_512(x, 0); LOAD_KB_512(x, 1); LOAD_KB_512(x, 2); LOAD_KB_512(x, 3);
+
+					MATMUL_512(0, 0); MATMUL_512(1, 0);
+					MATMUL_512(0, 1); MATMUL_512(1, 1);
+					MATMUL_512(0, 2); MATMUL_512(1, 2);
+					MATMUL_512(0, 3); MATMUL_512(1, 3);
+				}
+				int remains = K - k;
+				if (remains) {
+					mask = (1UL << remains) - 1;
+					MASK_LOAD_KA_512(0, x); MASK_LOAD_KA_512(1, x);
+					MASK_LOAD_KB_512(x, 0); MASK_LOAD_KB_512(x, 1); MASK_LOAD_KB_512(x, 2); MASK_LOAD_KB_512(x, 3);
+
+					MATMUL_512(0, 0); MATMUL_512(1, 0);
+					MATMUL_512(0, 1); MATMUL_512(1, 1);
+					MATMUL_512(0, 2); MATMUL_512(1, 2);
+					MATMUL_512(0, 3); MATMUL_512(1, 3);
+				}
+				STORE_REDUCE_N4(0); STORE_REDUCE_N4(1);
+			}
+			for (; j < n2; j += 2) {
+				DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
+				DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1);
+				for (k = 0; k < k8; k += 8) {
+					LOAD_KA_512(0, x); LOAD_KA_512(1, x);
+					LOAD_KB_512(x, 0); LOAD_KB_512(x, 1);
+
+					MATMUL_512(0, 0); MATMUL_512(1, 0);
+					MATMUL_512(0, 1); MATMUL_512(1, 1);
+				}
+				int remains = K - k;
+				if (remains) {
+					mask = (1UL << remains) - 1;
+					MASK_LOAD_KA_512(0, x); MASK_LOAD_KA_512(1, x);
+					MASK_LOAD_KB_512(x, 0); MASK_LOAD_KB_512(x, 1);
+
+					MATMUL_512(0, 0); MATMUL_512(1, 0);
+					MATMUL_512(0, 1); MATMUL_512(1, 1);
+				}
+				STORE_REDUCE(0, 0); STORE_REDUCE(1, 0);
+				STORE_REDUCE(0, 1); STORE_REDUCE(1, 1);
+
+			}
+			for (; j < N; j += 1) {
+				DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
+				for (k = 0; k < k8; k += 8) {
+					LOAD_KA_512(0, x); LOAD_KA_512(1, x);
+					LOAD_KB_512(x, 0);
+
+					MATMUL_512(0, 0); MATMUL_512(1, 0);
+				}
+				int remains = K - k;
+				if (remains) {
+					mask = (1UL << remains) - 1;
+					MASK_LOAD_KA_512(0, x); MASK_LOAD_KA_512(1, x);
+					MASK_LOAD_KB_512(x, 0);
+
+					MATMUL_512(0, 0); MATMUL_512(1, 0);
+				}
+				STORE_REDUCE(0, 0); STORE_REDUCE(1, 0);
+			}
+		}
+		for (; i < M; i += 1, mi += 1) {
+			for (j = 0; j < n4; j += 4) {
+				DECLARE_RESULT_512(0, 0);
+				DECLARE_RESULT_512(0, 1);
+				DECLARE_RESULT_512(0, 2);
+				DECLARE_RESULT_512(0, 3);
+				for (k = 0; k < k8; k += 8) {
+					LOAD_KA_512(0, x);
+					LOAD_KB_512(x, 0); LOAD_KB_512(x, 1); LOAD_KB_512(x, 2); LOAD_KB_512(x, 3);
+
+					MATMUL_512(0, 0);
+					MATMUL_512(0, 1);
+					MATMUL_512(0, 2);
+					MATMUL_512(0, 3);
+				}
+				int remains = K - k;
+				if (remains) {
+					mask = (1UL << remains) - 1;
+					MASK_LOAD_KA_512(0, x);
+					MASK_LOAD_KB_512(x, 0); MASK_LOAD_KB_512(x, 1); MASK_LOAD_KB_512(x, 2); MASK_LOAD_KB_512(x, 3);
+
+
+					MATMUL_512(0, 0);
+					MATMUL_512(0, 1);
+					MATMUL_512(0, 2);
+					MATMUL_512(0, 3);
+				}
+				STORE_REDUCE_N4(0);
+			}
+			for (; j < n2; j += 2) {
+				DECLARE_RESULT_512(0, 0);
+				DECLARE_RESULT_512(0, 1);
+				for (k = 0; k < k8; k += 8) {
+					LOAD_KA_512(0, x);
+					LOAD_KB_512(x, 0); LOAD_KB_512(x, 1);
+
+					MATMUL_512(0, 0);
+					MATMUL_512(0, 1);
+				}
+				int remains = K - k;
+				if (remains) {
+					mask = (1UL << remains) - 1;
+					MASK_LOAD_KA_512(0, x);
+					MASK_LOAD_KB_512(x, 0); MASK_LOAD_KB_512(x, 1);
+
+					MATMUL_512(0, 0);
+					MATMUL_512(0, 1);
+				}
+				STORE_REDUCE(0, 0);
+				STORE_REDUCE(0, 1);
+
+			}
+			for (; j < N; j += 1) {
+				DECLARE_RESULT_512(0, 0);
+				for (k = 0; k < k8; k += 8) {
+					LOAD_KA_512(0, x);
+					LOAD_KB_512(x, 0);
+
+					MATMUL_512(0, 0);
+				}
+				int remains = K - k;
+				if (remains) {
+					mask = (1UL << remains) - 1;
+					MASK_LOAD_KA_512(0, x);
+					MASK_LOAD_KB_512(x, 0);
+
+					MATMUL_512(0, 0);
+				}
+				STORE_REDUCE(0, 0);
+			}
+		}
+		free(mbuf);
+	}
+	return 0;
+}