Abstract: An information processing apparatus includes a memory; and a processor. The processor is configured to execute partitioning a predetermined matrix whose values of elements are to be generated by a matrix operation, into a predetermined number of first submatrices whose dimension in at least one of a row direction and a column direction is a multiple of a block size corresponding to a number of registers used for the matrix operation, and into the predetermined number of second submatrices that are different from the predetermined number of the first submatrices; and assigning a matrix operation to generate values of elements of each of the predetermined number of the first submatrices, and a matrix operation to generate values of elements of each of the predetermined number of the second submatrices, to each of the predetermined number of threads.

Abstract: A parallel LU-factorization method executed in a parallel computer including a plurality of processing nodes which execute LU-factorization in parallel, the method causes each of the plurality of processing nodes to execute processing of; measuring a first time period, which is a time period from when a matrix product for a matrix of a first size is completed to when communication with a different processing node out of the plurality of processing nodes is completed; and altering a size of a matrix to be used for a matrix product to a second size smaller than the first size in a case where the measured first time period is equal to or longer than a predetermined time period.

Abstract: An information processing apparatus includes a memory; and a processor. The processor is configured to execute partitioning a predetermined matrix whose values of elements are to be generated by a matrix operation, into a predetermined number of first submatrices whose dimension in at least one of a row direction and a column direction is a multiple of a block size corresponding to a number of registers used for the matrix operation, and into the predetermined number of second submatrices that are different from the predetermined number of the first submatrices; and assigning a matrix operation to generate values of elements of each of the predetermined number of the first submatrices, and a matrix operation to generate values of elements of each of the predetermined number of the second submatrices, to each of the predetermined number of threads.

Abstract: A parallel computer system including a plurality of processors configured to perform LU factorization in parallel, the system is configured to cause each of the plurality of processors to execute processing including: generating a first panel by integrating a plurality of row panels among panels of a matrix to be subjected to the LU-factorization, the plurality of row panels being processed by the processor, generating a second panel by integrating a plurality of column panels among the panels of the matrix, the plurality of column panels being processed by the processor, and computing a matrix product of the first panel and the second panel. In parallel with the computation of the matrix product, each processor is configured to receive or transmit a column panel to be used for computation of a subsequent matrix product from or to another processor among the plurality of processors.

Abstract: A parallel LU-factorization method executed in a parallel computer including a plurality of processing nodes which execute LU-factorization in parallel, the method causes each of the plurality of processing nodes to execute processing of; measuring a first time period, which is a time period from when a matrix product for a matrix of a first size is completed to when communication with a different processing node out of the plurality of processing nodes is completed; and altering a size of a matrix to be used for a matrix product to a second size smaller than the first size in a case where the measured first time period is equal to or longer than a predetermined time period.

Abstract: A parallel computer system including a plurality of processors configured to perform LU factorization in parallel, the system is configured to cause each of the plurality of processors to execute processing including: generating a first panel by integrating a plurality of row panels among panels of a matrix to be subjected to the LU-factorization, the plurality of row panels being processed by the processor, generating a second panel by integrating a plurality of column panels among the panels of the matrix, the plurality of column panels being processed by the processor, and computing a matrix product of the first panel and the second panel. In parallel with the computation of the matrix product, each processor is configured to receive or transmit a column panel to be used for computation of a subsequent matrix product from or to another processor among the plurality of processors.