Add to ORKGAbstract—The aim of the paper is to analyze the potential of the mixed precision iterative refinement technique for the WZ factorization. We design and implement a mixed precision iterative refinement algorithm for the WZ factorization with the use of the single (a.k.a. float), double and long double precision. For random dense square matrices with the dominant diagonal we report the performance and the speedup of the solvers using different machines and we investigate the accuracy of obtained solutions. Additionally, the results (performance, speedup and accuracy) for our mixed precision implementation based on the WZ factorization were compared to the similar ones based on the LU factorization. I
Mixed-precision algorithms are a class of algorithms that uses low precision in part of the algorith...
On many current and emerging computing architectures, single-precision calculations are at least twi...
By using a combination of 32-bit and 64-bit floating point arithmetic, the per-formance of many dens...
Abstract—In the paper the authors present the WZ factor-ization in MATLAB. MATLAB is an environment ...
Today's floating-point arithmetic landscape is broader than ever. While scientific computing has tra...
International audienceThe standard LU factorization-based solution process for linear systems can be...
Dedicated to Gérard Meurant on the occasion of his 60th birthday Abstract. We consider the triangul...
L'accessibilité grandissante des arithmétiques à précision faible (tfloat32, fp16, bfloat16, fp8) da...
Motivated by the demand in machine learning, modern computer hardware is increas- ingly supporting r...
What is the fastest way to solve a linear system $Ax= b$ in arithmetic of a given precision when $A$...
It is well established that mixed precision algorithms that factorize a matrix at a precision lower...
The increasing availability of very low precisions (tfloat32, fp16, bfloat16, fp8) in hardware pushe...
International audienceBy using a combination of 32-bit and 64-bit floating point arithmetic, the per...
We propose a general algorithm for solving a $n\times n$ nonsingular linear system $Ax = b$ based on...
summary:With the emergence of mixed precision hardware, mixed precision GMRES-based iterative refine...
Mixed-precision algorithms are a class of algorithms that uses low precision in part of the algorith...
On many current and emerging computing architectures, single-precision calculations are at least twi...
By using a combination of 32-bit and 64-bit floating point arithmetic, the per-formance of many dens...
Abstract—In the paper the authors present the WZ factor-ization in MATLAB. MATLAB is an environment ...
Today's floating-point arithmetic landscape is broader than ever. While scientific computing has tra...
International audienceThe standard LU factorization-based solution process for linear systems can be...
Dedicated to Gérard Meurant on the occasion of his 60th birthday Abstract. We consider the triangul...
L'accessibilité grandissante des arithmétiques à précision faible (tfloat32, fp16, bfloat16, fp8) da...
Motivated by the demand in machine learning, modern computer hardware is increas- ingly supporting r...
What is the fastest way to solve a linear system $Ax= b$ in arithmetic of a given precision when $A$...
It is well established that mixed precision algorithms that factorize a matrix at a precision lower...
The increasing availability of very low precisions (tfloat32, fp16, bfloat16, fp8) in hardware pushe...
International audienceBy using a combination of 32-bit and 64-bit floating point arithmetic, the per...
We propose a general algorithm for solving a $n\times n$ nonsingular linear system $Ax = b$ based on...
summary:With the emergence of mixed precision hardware, mixed precision GMRES-based iterative refine...
Mixed-precision algorithms are a class of algorithms that uses low precision in part of the algorith...
On many current and emerging computing architectures, single-precision calculations are at least twi...
By using a combination of 32-bit and 64-bit floating point arithmetic, the per-formance of many dens...