Github user brkyvz commented on a diff in the pull request:

    https://github.com/apache/spark/pull/2294#discussion_r17709785
  
    --- Diff: mllib/src/main/scala/org/apache/spark/mllib/linalg/Matrices.scala 
---
    @@ -36,9 +37,42 @@ trait Matrix extends Serializable {
       /** Converts to a breeze matrix. */
       private[mllib] def toBreeze: BM[Double]
     
    +  /** Gets the i-th element in the array backing the matrix. */
    +  private[mllib] def apply(i: Int): Double
    +
       /** Gets the (i, j)-th element. */
    -  private[mllib] def apply(i: Int, j: Int): Double = toBreeze(i, j)
    +  private[mllib] def apply(i: Int, j: Int): Double
    +
    +  /** Return the index for the (i, j)-th element in the backing array. */
    +  private[mllib] def index(i: Int, j: Int): Int
    +
    +  /** Update element at (i, j) */
    +  private[mllib] def update(i: Int, j: Int, v: Double)
    +
    +  /** Get a deep copy of the matrix. */
    +  def copy: Matrix
    +
    +  /** Convenience method for `Matrix`-`DenseMatrix` multiplication. */
    +  def times(y: DenseMatrix): DenseMatrix = {
    +    val C: DenseMatrix = Matrices.zeros(numRows, 
y.numCols).asInstanceOf[DenseMatrix]
    +    BLAS.gemm(false, false, 1.0, this, y, 0.0, C)
    +    C
    +  }
    +
    +  /** Convenience method for `Matrix`-`DenseVector` multiplication. */
    +  def times(y: DenseVector): DenseVector = BLAS.gemv(1.0, this, y)
    +
    +  /** Convenience method for `Matrix`^T^-`DenseMatrix` multiplication. */
    +  def transposeTimes(y: DenseMatrix): DenseMatrix = {
    --- End diff --
    
    Then we will have to implement everything (element indexing, toString, 
etc...) with the transpose()
    check. Plus there is the binary Compatibility errors already. We may have 
to remove the multiply methods altogether or disable compatibility check here?


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