Evaluating an expression in linear algebra using the known Basic Linear Algebra Subprograms library often requires temporary storage to hold intermediate results. However, matrix chain multiplication is typically analyzed in terms of time complexity, with the goal of minimizing the number of floating point operations (flops) for an expression. This paper investigates the less explored aspect, the space complexity of matrix chain multiplication. The focus is on finding all possible ways to translate an expression consisting of a matrix chain and a parenthesization into executable code, in order to explore the possibility of finding an evaluation order that require less storage requirement. The solution involves reframing the problem into...
A Straight-line code, which consists of assignment, addition, and multiplication statements is an ab...
In this paper we demonstrate the practical portability of a simple version of matrix multiplication ...
A proof of concept is offered for the uniform representation of matrices serially in Morton-order (o...
Discussion of the computation of matrix chain products of the form M//1 multiplied by M//2 multiplie...
Abstract. This paper considers the computation of matrix chain products of the form M1 x M2 ’’"...
We develop a prototype library for in-place (dense) matrix storage for-mat conversion between the ca...
Abstract-- In this work, the performance of basic and strassen’s matrix multiplication algorithms ar...
AbstractWe consider the problem of finding a basic solution to a system of linear constraints (in st...
The complexity of matrix multiplication (hereafter MM) has been intensively studied since 1969, when...
Expressions that involve matrices and vectors, known as linear algebra expressions, are commonly eva...
Strassen's algorithm for matrix multiplication gains its lower arithmetic complexityatthe expe...
Many fast algorithms in arithmetic complexity have hierarchical or recursive structures that make ef...
Matrix multiplication is an operation that produces a matrix from two matrices and its applications...
AbstractThe main purpose of this paper is to present a fast matrix multiplication algorithm taken fr...
Expressions that involve matrices and vectors, known as linear algebra expressions, are commonly eva...
A Straight-line code, which consists of assignment, addition, and multiplication statements is an ab...
In this paper we demonstrate the practical portability of a simple version of matrix multiplication ...
A proof of concept is offered for the uniform representation of matrices serially in Morton-order (o...
Discussion of the computation of matrix chain products of the form M//1 multiplied by M//2 multiplie...
Abstract. This paper considers the computation of matrix chain products of the form M1 x M2 ’’"...
We develop a prototype library for in-place (dense) matrix storage for-mat conversion between the ca...
Abstract-- In this work, the performance of basic and strassen’s matrix multiplication algorithms ar...
AbstractWe consider the problem of finding a basic solution to a system of linear constraints (in st...
The complexity of matrix multiplication (hereafter MM) has been intensively studied since 1969, when...
Expressions that involve matrices and vectors, known as linear algebra expressions, are commonly eva...
Strassen's algorithm for matrix multiplication gains its lower arithmetic complexityatthe expe...
Many fast algorithms in arithmetic complexity have hierarchical or recursive structures that make ef...
Matrix multiplication is an operation that produces a matrix from two matrices and its applications...
AbstractThe main purpose of this paper is to present a fast matrix multiplication algorithm taken fr...
Expressions that involve matrices and vectors, known as linear algebra expressions, are commonly eva...
A Straight-line code, which consists of assignment, addition, and multiplication statements is an ab...
In this paper we demonstrate the practical portability of a simple version of matrix multiplication ...
A proof of concept is offered for the uniform representation of matrices serially in Morton-order (o...