THIS PAPER HAS BEEN WITHDRAWN. We briefly discuss the error which was made in the original version of the withdrawn paper. Original abstract: in this paper we will show that dense n×n matrices with integer coefficients of bit sizes ⩽b can be multiplied in quasi-optimal time. This shows that the exponent ω_ℤ for matrix multiplication over ℤ is equal to two. Moreover, there is hope that the exponent can be observed in practice for a sufficiently good implementation
AbstractThe paper is a systematic survey of recently developed methods for the acceleration of MM, m...
Matrix multiplication is a basic operation of linear algebra, and has numerous applications to the t...
The Strassen algorithm for multiplying $2 \times 2$ matrices requires seven multiplications and 18 ...
THIS PAPER HAS BEEN WITHDRAWN. We briefly discuss the error which was made in the original version o...
Let M(n) denote the bit complexity of multiplying n-bit integers, let ω ∈ (2, 3] be an exponent for ...
We give a new proof of Fürer's bound for the cost of multiplying n-bit integers in the bit complexit...
We present new algorithms for computing the low n bits or the high n bits of the product of two n-bi...
The complexity of matrix multiplication (hereafter MM) has been intensively studied since 1969, when...
AbstractThe main purpose of this paper is to present a fast matrix multiplication algorithm taken fr...
Fast matrix multiplication is one of the most fundamental problems in algorithm research. The expone...
AbstractThe method of trilinear aggregating with implicit canceling for the design of fast matrix mu...
AbstractThe complexity of matrix multiplication has attracted a lot of attention in the last forty y...
Fast algorithms for matrix multiplication, namely those that perform asymptotically fewer scalar ope...
Matrix multiplication (hereafter we use the acronym MM) is among the most fundamental operations of ...
A tight Ω((n/M ̅ ̅√)log27M) lower bound is derived on the I/O complexity of Strassen’s algorithm to ...
AbstractThe paper is a systematic survey of recently developed methods for the acceleration of MM, m...
Matrix multiplication is a basic operation of linear algebra, and has numerous applications to the t...
The Strassen algorithm for multiplying $2 \times 2$ matrices requires seven multiplications and 18 ...
THIS PAPER HAS BEEN WITHDRAWN. We briefly discuss the error which was made in the original version o...
Let M(n) denote the bit complexity of multiplying n-bit integers, let ω ∈ (2, 3] be an exponent for ...
We give a new proof of Fürer's bound for the cost of multiplying n-bit integers in the bit complexit...
We present new algorithms for computing the low n bits or the high n bits of the product of two n-bi...
The complexity of matrix multiplication (hereafter MM) has been intensively studied since 1969, when...
AbstractThe main purpose of this paper is to present a fast matrix multiplication algorithm taken fr...
Fast matrix multiplication is one of the most fundamental problems in algorithm research. The expone...
AbstractThe method of trilinear aggregating with implicit canceling for the design of fast matrix mu...
AbstractThe complexity of matrix multiplication has attracted a lot of attention in the last forty y...
Fast algorithms for matrix multiplication, namely those that perform asymptotically fewer scalar ope...
Matrix multiplication (hereafter we use the acronym MM) is among the most fundamental operations of ...
A tight Ω((n/M ̅ ̅√)log27M) lower bound is derived on the I/O complexity of Strassen’s algorithm to ...
AbstractThe paper is a systematic survey of recently developed methods for the acceleration of MM, m...
Matrix multiplication is a basic operation of linear algebra, and has numerous applications to the t...
The Strassen algorithm for multiplying $2 \times 2$ matrices requires seven multiplications and 18 ...