LOAD BALANCED PARALLEL BLOCK QR DECOMPOSITION

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SHAHMORAD S.; Famil Barraghie M.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Seminar Paper

Paper Information

Seminar: ANNUAL IRANIAN MATHEMATICS CONFERENCE
Year:2012 | Issue:43

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Title

LOAD BALANCED PARALLEL BLOCK QR DECOMPOSITION

Author(s)

SHAHMORAD S. | Famil Barraghie M.

Keywords

QR DECOMPOSITION

LOAD BALANCED

HOUSEHOLDER TRANSFORMATION

GIVENS ROTATION

Abstract

THIS PAPER INTRODUCES A NEW PARALLEL QR DECOMPOSITION USING HOUSEHOLDER TRANSFORMATION AND GIVENS ROTATION. WE TRY TO PARALLELIZE THE FIRST STAGE OF BOLENG AND RAGHAVAN’S ALGORITHM [1] USING PARALLEL BLOCK HOUSEHOLDER TRANSFORMATION. LOAD BALANCING TECHNIQUE BE USED HERE CONSIDERS TOTAL COMPUTATIONAL WORKS. THE NEW HYBRID ALGORITHM HAS TWO STAGES, IT (THE INTERNAL TRANSFORMATIONS STAGE) AND BR (THE BALANCED ROTATIONS STAGE). IN THE FIRST STAGE, EACH PROCESSOR USES BLOCK HOUSEHOLDER TRANSFORMATION. THE SECOND STAGE ANNIHILATES REMAINING ELEMENTS USING GIVENS ROTATIONS. SINCE WE ARE DESINGING WITH SHARED MEMORY, PARALLELISM DOES NOT DEFRAY EXTRA COMMUNICATION COSTS.

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APA: Copy

SHAHMORAD, S., & Famil Barraghie, M.. (2012). LOAD BALANCED PARALLEL BLOCK QR DECOMPOSITION. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/926332/en

Vancouver: Copy

SHAHMORAD S., Famil Barraghie M.. LOAD BALANCED PARALLEL BLOCK QR DECOMPOSITION. 2012. Available from: https://sid.ir/paper/926332/en

IEEE: Copy

S. SHAHMORAD, and M. Famil Barraghie, “LOAD BALANCED PARALLEL BLOCK QR DECOMPOSITION,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2012, [Online]. Available: https://sid.ir/paper/926332/en

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