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تسجيل مستخدم جديدMemory efficient scheduling of Strassen-Winograds matrix multiplication algorithm
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نشر من قبل
Jean-Guillaume Dumas
تاريخ النشر
2009
مجال البحث
الهندسة المعلوماتية
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English
تأليف
Brice Boyer
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We propose several new schedules for Strassen-Winograds matrix multiplication algorithm, they reduce the extra memory allocation requirements by three different means: by introducing a few pre-additions, by overwriting the input matrices, or by using a first recursive level of classical multiplication. In particular, we show two fully in-place schedules: one having the same number of operations, if the input matrices can be overwritten; the other one, slightly increasing the constant of the leading term of the complexity, if the input matrices are read-only. Many of these schedules have been found by an implementation of an exhaustive search algorithm based on a pebble game.
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