diff --git a/CMakeLists.txt b/CMakeLists.txt
index e7f98fe..a89a7b6 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -98,6 +98,7 @@ endif()
 
 if(GCTL_FOUND AND GCTL_OPTIMIZATION_FOUND)
     add_example(optimization lcg_solver_ex ON OFF ON OFF)
+    add_example(optimization geoblas_lcg_solver_ex ON OFF ON OFF)
     add_example(optimization lgd_solver_ex ON OFF ON OFF)
     add_example(optimization ex3 ON OFF ON OFF)
     add_example(optimization ex4 ON OFF ON OFF)
diff --git a/src/optimization/geoblas_lcg_solver_ex.cpp b/src/optimization/geoblas_lcg_solver_ex.cpp
new file mode 100644
index 0000000..978c53c
--- /dev/null
+++ b/src/optimization/geoblas_lcg_solver_ex.cpp
@@ -0,0 +1,114 @@
+/********************************************************
+ *  ██████╗  ██████╗████████╗██╗
+ * ██╔════╝ ██╔════╝╚══██╔══╝██║
+ * ██║  ███╗██║        ██║   ██║
+ * ██║   ██║██║        ██║   ██║
+ * ╚██████╔╝╚██████╗   ██║   ███████╗
+ *  ╚═════╝  ╚═════╝   ╚═╝   ╚══════╝
+ * Geophysical Computational Tools & Library (GCTL)
+ *
+ * Copyright (c) 2022  Yi Zhang (yizhang-geo@zju.edu.cn)
+ *
+ * GCTL is distributed under a dual licensing scheme. You can redistribute 
+ * it and/or modify it under the terms of the GNU Lesser General Public 
+ * License as published by the Free Software Foundation, either version 2 
+ * of the License, or (at your option) any later version. You should have 
+ * received a copy of the GNU Lesser General Public License along with this 
+ * program. If not, see <http://www.gnu.org/licenses/>.
+ * 
+ * If the terms and conditions of the LGPL v.2. would prevent you from using 
+ * the GCTL, please consider the option to obtain a commercial license for a 
+ * fee. These licenses are offered by the GCTL's original author. As a rule, 
+ * licenses are provided "as-is", unlimited in time for a one time fee. Please 
+ * send corresponding requests to: yizhang-geo@zju.edu.cn. Please do not forget 
+ * to include some description of your company and the realm of its activities. 
+ * Also add information on how to contact you by electronic and paper mail.
+ ******************************************************/
+
+#include "gctl/core/array_algorithm.h"
+#include "gctl/core/matrix_algorithm.h"
+#include "gctl/optimization/lcg_geoblas.h"
+
+#define M 1000
+#define N 800
+
+double max_diff(const gctl::array<double> &a, const gctl::array<double> &b)
+{
+	double max = -1.0;
+	for (size_t i = 0; i < a.size(); i++)
+	{
+		max = std::max(sqrt((a[i] - b[i])*(a[i] - b[i])), max);
+	}
+	return max;
+}
+
+class ex1 : public gctl::geoblas_lcg_solver
+{
+public:
+	ex1();
+	virtual ~ex1();
+
+	// 计算共轭梯度的B项
+	void cal_partb(const geoblas_vec_t dx, geoblas_vec_t dB);
+
+	//定义共轭梯度中Ax的算法
+	virtual void LCG_Ax(const geoblas_vec_t x, geoblas_vec_t ax);
+
+private:
+	geoblas_mat_t d_kernel; // 普通二维数组做核矩阵
+	geoblas_vec_t d_tmp; // 中间结果数组
+
+	gctl::matrix<double> h_kernel;
+};
+
+ex1::ex1()
+{
+	h_kernel.resize(M, N);
+	random_float(h_kernel, -1.0, 1.0, gctl::RdUniform);
+
+	d_kernel = geoblas_mat_new(M, N);
+	d_tmp = geoblas_vec_new(M);
+
+	geoblas_put_mat_data(d_kernel, h_kernel.get());
+}
+
+ex1::~ex1()
+{
+	geoblas_mat_free(d_kernel);
+	geoblas_vec_free(d_tmp);
+}
+
+void ex1::cal_partb(const geoblas_vec_t dx, geoblas_vec_t dB)
+{
+	LCG_Ax(dx, dB);
+	return;
+}
+
+void ex1::LCG_Ax(const geoblas_vec_t x, geoblas_vec_t ax)
+{
+	geoblas_gemv('N', M, N, 1.0, d_kernel, x, 0.0, d_tmp);
+	geoblas_gemv('T', M, N, 1.0, d_kernel, d_tmp, 0.0, ax);
+	return;
+}
+
+int main(int argc, char const *argv[])
+{
+	ex1 test;
+
+	gctl::array<double> m(N, 0.0);
+	gctl::array<double> fm(N);
+	random_float(fm, 1.0, 2.0, gctl::RdUniform);
+
+	geoblas_vec_t dfm = geoblas_vec_new(N);
+	geoblas_vec_t dm = geoblas_vec_new(N);
+	geoblas_vec_t dB = geoblas_vec_new(N);
+	geoblas_put_vec_data(dfm, fm.get());
+	geoblas_put_vec_data(dm, m.get());
+
+	test.cal_partb(dfm, dB);
+	test.lcg(dm, dB);
+
+	geoblas_get_vec_data(dm, m.get());
+	std::cout << "max-diff = " << max_diff(fm , m) << "\n";
+	return 0;
+}
\ No newline at end of file