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"Matrix Inversion (or LUP-Factorization) via the Method of Four Russians": Gregory Bard's paper introduces the inversion algorithm, demonstrating logarithmic speedups over standard Gaussian elimination.
"Algorithm 898: Efficient Multiplication of Dense Matrices over GF(2)": This paper, published in ACM Transactions on Mathematical Software , describes the M4RM algorithm and its performance on modern CPUs. M4ri (100).JPG
Bit-packing allows 64-bit machine words to process 64 elements in parallel because addition in is a logical XOR and multiplication is a logical AND . "Matrix Inversion (or LUP-Factorization) via the Method of
The name "M4RI" stands for , an algorithm derived from the "Method of the Four Russians" multiplication (M4RM). Key Papers Related to M4RI The name "M4RI" stands for , an algorithm
The reference most likely refers to the academic work and implementation of the M4RI library , which focuses on fast arithmetic for dense matrices over the finite field