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

    https://github.com/apache/spark/pull/9916#discussion_r50151020
  
    --- Diff: 
mllib/src/main/scala/org/apache/spark/mllib/linalg/distributed/BlockMatrix.scala
 ---
    @@ -317,40 +317,69 @@ class BlockMatrix @Since("1.3.0") (
       }
     
       /**
    -   * Adds two block matrices together. The matrices must have the same 
size and matching
    -   * `rowsPerBlock` and `colsPerBlock` values. If one of the blocks that 
are being added are
    -   * instances of [[SparseMatrix]], the resulting sub matrix will also be 
a [[SparseMatrix]], even
    -   * if it is being added to a [[DenseMatrix]]. If two dense matrices are 
added, the output will
    -   * also be a [[DenseMatrix]].
    +   * For given matrices `this` and `other` of compatible dimensions and 
compatible block dimensions,
    +   * it applies a binary function on their corresponding blocks.
    +   *
    +   * @param other The second BlockMatrix argument for the operator 
specified by `binMap`
    +   * @param binMap A function taking two breeze matrices and returning a 
breeze matrix
    +   * @return A [[BlockMatrix]] whose blocks are the results of a specified 
binary map on blocks
    +   *         of `this` and `other`.
        */
    -  @Since("1.3.0")
    -  def add(other: BlockMatrix): BlockMatrix = {
    +  private[mllib] def blockMap(
    +      other: BlockMatrix,
    +      binMap: (BM[Double], BM[Double]) => BM[Double]): BlockMatrix = {
         require(numRows() == other.numRows(), "Both matrices must have the 
same number of rows. " +
           s"A.numRows: ${numRows()}, B.numRows: ${other.numRows()}")
         require(numCols() == other.numCols(), "Both matrices must have the 
same number of columns. " +
           s"A.numCols: ${numCols()}, B.numCols: ${other.numCols()}")
         if (rowsPerBlock == other.rowsPerBlock && colsPerBlock == 
other.colsPerBlock) {
    -      val addedBlocks = blocks.cogroup(other.blocks, createPartitioner())
    +      val newBlocks = blocks.cogroup(other.blocks, createPartitioner())
             .map { case ((blockRowIndex, blockColIndex), (a, b)) =>
               if (a.size > 1 || b.size > 1) {
                 throw new SparkException("There are multiple MatrixBlocks with 
indices: " +
                   s"($blockRowIndex, $blockColIndex). Please remove them.")
               }
               if (a.isEmpty) {
    -            new MatrixBlock((blockRowIndex, blockColIndex), b.head)
    +            val zeroBlock = BM.zeros[Double](b.head.numRows, 
b.head.numCols)
    --- End diff --
    
    This is making an explicit matrix of all 0s.  It would be better to create 
a sparse matrix of all zeros to avoid the memory allocation.


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