Abstract: This paper describes how to leverage a task-based implementation of the polar decomposition on massively parallel systems using the PaRSEC dynamic runtime system. Based on a formulation of ...

The Monthly publishes articles, as well as notes and other features, about mathematics and the profession. Its readers span a broad spectrum of mathematical interests, and include professional ...

Abstract: Using a novel automated Mueller matrix polarimetric imaging system we acquired and generated the Mueller matrix images of normal, benign, and cancerous tissue from a Sinclair swine. A polar ...

Abstract The effect of matrix perturbations on the polar decomposition has been studied by several authors and various results are known. However, for operators between infinite-dimensional spaces the ...

Computing the polar decomposition and the related matrix sign function has been a well-studied problem in numerical analysis for decades. Recently, it has emerged as an important subroutine within the ...

IMAGINE discovering an ancient treasure chest sealed with a complex dual-lock mechanism, requiring two keys that must work ...