AbstractThe number of essential multiplications required to multiply matrices of size N×N and N×Nx is studied as a function f(x). Bounds to f(x) sharper than trivial ones are presented and the asymptotic behaviour of f(x) is studied. An analogous investigation is performed for the problem of multiplying matrices of size N×Nx and Nx×Ny
We define the complexity of a computational problem given by a relation using the model of a computa...
Since 1960 and the result of Karatsuba, we know that the complexity of the multiplication (of intege...
AbstractThis paper develops optimal algorithms to multiply an n × n symmetric tridiagonal matrix by:...
AbstractFirst we study asymptotically fast algorithms for rectangular matrix multiplication. We begi...
AbstractWe give a constant α > 0.294 and, for any ε > 0, an algorithm for multiplying anN×Nmatrix by...
AbstractIn the last twenty-five years there has been much research into “fast” matrix multiplication...
AbstractWe prove a lower bound of 2mn+2n−m−2 for the bilinear complexity of the multiplication of n×...
© Josh Alman and Virginia V. Williams. We consider the techniques behind the current best algorithms...
AbstractThe complexity of matrix multiplication has attracted a lot of attention in the last forty y...
AbstractWe consider the problem of finding a basic solution to a system of linear constraints (in st...
Depuis 1960 et le résultat fondateur de Karatsuba, on sait que la complexité de la multiplication (d...
AbstractThis paper is devoted to the study of lower bounds on the inherent number of additions and s...
These notes are based on a lecture given at the Toronto Student Seminar on February 2, 2012. The mat...
AbstractThe action of commutativity and approximation is analyzed for some problems in Computational...
We prove that the rank of the n×n matrix multiplication is at least 3n2 - 2√2n3/2 - 3n. The previous...
We define the complexity of a computational problem given by a relation using the model of a computa...
Since 1960 and the result of Karatsuba, we know that the complexity of the multiplication (of intege...
AbstractThis paper develops optimal algorithms to multiply an n × n symmetric tridiagonal matrix by:...
AbstractFirst we study asymptotically fast algorithms for rectangular matrix multiplication. We begi...
AbstractWe give a constant α > 0.294 and, for any ε > 0, an algorithm for multiplying anN×Nmatrix by...
AbstractIn the last twenty-five years there has been much research into “fast” matrix multiplication...
AbstractWe prove a lower bound of 2mn+2n−m−2 for the bilinear complexity of the multiplication of n×...
© Josh Alman and Virginia V. Williams. We consider the techniques behind the current best algorithms...
AbstractThe complexity of matrix multiplication has attracted a lot of attention in the last forty y...
AbstractWe consider the problem of finding a basic solution to a system of linear constraints (in st...
Depuis 1960 et le résultat fondateur de Karatsuba, on sait que la complexité de la multiplication (d...
AbstractThis paper is devoted to the study of lower bounds on the inherent number of additions and s...
These notes are based on a lecture given at the Toronto Student Seminar on February 2, 2012. The mat...
AbstractThe action of commutativity and approximation is analyzed for some problems in Computational...
We prove that the rank of the n×n matrix multiplication is at least 3n2 - 2√2n3/2 - 3n. The previous...
We define the complexity of a computational problem given by a relation using the model of a computa...
Since 1960 and the result of Karatsuba, we know that the complexity of the multiplication (of intege...
AbstractThis paper develops optimal algorithms to multiply an n × n symmetric tridiagonal matrix by:...
DOI
Add to ORKG