Scientific Research Publishing

Dax, A. (2016) The Numerical Rank of Krylov Matrices. In: Linear Algebra and Its Applications.

ABSTRACT: In this paper we present a new type of Restarted Krylov methods for calculating peripheral eigenvalues of symmetric matrices. The new framework avoids the Lanczos tridiagonalization process, ...
GitHub

Linear-Algebra-for-Machine-Learning-and-Data-Science

This course is part of the Mathematics for Machine Learning and Data Science Specialization by DeepLearning.AI. After completing this course, learners will be able to: Represent data as vectors and ...
JSTOR Daily

On the Rank of an Element of a Free Lie Algebra

This is a preview. Log in through your library . Abstract Let L be a free Lie algebra over an arbitrary field K, and let $\{x_1, \ldots, x_n, \ldots \}, n \geq 2$, be a free basis of L. We define the ...
IEEE

On the Algebraic Structure of the Moore Penrose Inverse of Full Row or Full Column Rank Polynomial Matrices

Abstract: This work establishes the connection between the finite and infinite algebraic structure of a full row or column rank polynomial matrix and its Moore Penrose inverse. For non-singular ...
The Earth Institute Columbia University

Introduction to Quantitative Risk Management (iQRM): Matrix Algebra

Risk and life comes in systems. What is the variance of multiple risks? What is the variance of a portfolio? Matrix Algebra is the mathematics of systems. In this system we explore the basics of ...
IEEE

High-rate full-rank space-time block codes from Cayley algebra

Abstract: For a quasi-static, multiple-input multiple-output (MIMO) Rayleigh fading channel, high-rate space-time block codes (STBCs) with full-diversity have been constructed in B. A. Sethuraman et ...