weibozhao commented on a change in pull request #24:
URL: https://github.com/apache/flink-ml/pull/24#discussion_r767395937



##########
File path: flink-ml-core/src/main/java/org/apache/flink/ml/linalg/BLAS.java
##########
@@ -22,13 +22,84 @@
 
 /** A utility class that provides BLAS routines over matrices and vectors. */
 public class BLAS {
+
     /** For level-1 function dspmv, use javaBLAS for better performance. */
     private static final dev.ludovic.netlib.BLAS JAVA_BLAS =
             dev.ludovic.netlib.JavaBLAS.getInstance();
 
-    /** y += a * x . */
+    /**
+     * \sum_i |x_i| .
+     *
+     * @param x x
+     * @return \sum_i |x_i|
+     */
+    public static double asum(DenseVector x) {
+        return JAVA_BLAS.dasum(x.size(), x.values, 0, 1);
+    }
+
+    /**
+     * y += a * x .
+     *
+     * @param a a
+     * @param x x
+     * @param y y
+     */
     public static void axpy(double a, DenseVector x, DenseVector y) {
         Preconditions.checkArgument(x.size() == y.size(), "Vector size 
mismatched.");
         JAVA_BLAS.daxpy(x.size(), a, x.values, 1, y.values, 1);
     }
+
+    /**
+     * x \cdot y .
+     *
+     * @param x x
+     * @param y y
+     * @return x \cdot y
+     */
+    public static double dot(DenseVector x, DenseVector y) {
+        Preconditions.checkArgument(x.size() == y.size(), "Vector size 
mismatched.");
+        return JAVA_BLAS.ddot(x.size(), x.values, 1, y.values, 1);
+    }
+
+    /**
+     * \sqrt(\sum_i x_i * x_i) .
+     *
+     * @param x x
+     * @return \sqrt(\sum_i x_i * x_i)
+     */
+    public static double norm2(DenseVector x) {
+        return JAVA_BLAS.dnrm2(x.size(), x.values, 1);
+    }
+
+    /**
+     * x = x * a .
+     *
+     * @param a a
+     * @param x x
+     */
+    public static void scal(double a, DenseVector x) {
+        JAVA_BLAS.dscal(x.size(), a, x.values, 1);
+    }
+
+    /**
+     * y := alpha * A * x + beta * y.
+     *
+     * @param matA m x n matrix A.
+     * @param transA transform matrix or not.
+     * @param x dense vector with size n.
+     * @param y dense vector with size m.
+     */
+    public static void gemv(

Review comment:
       OK 




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