GitHub

This repository contains basics of Linear Algebra coding examples from the book Basics of Linear algebra for machine learning from Jason Brownlee

Representation of Data: Machine learning models operate on data, which is often represented as matrices and vectors. Linear algebra provides the mathematical framework to manipulate and process this ...
JSTOR Daily

Common Invariant Subspaces from Small Commutators

We study the following question: suppose that A and ℬ are two algebras of complex n × n matrices such that the ring commutator [A, B] = AB – BA is "small" for each A ∈ A and B ∈ ℬ; does this imply ...
IEEE

On-Chip Test Generation Using Linear Subspaces

Abstract: A central problem in built-in self test (BIST) is how to efficiently generate a small set of test vectors that detect all targeted faults. We propose a novel solution that uses linear ...
Scientific Research Publishing

R. S. Phillips, “The Extensions of Dual Subspaces Invariant under an Algebra,” Proceedings of the International Symposium on Linear Spaces, Jerusalem, 5-12 July 1960, pp ...

ABSTRACT: We consider plus-operators in Krein spaces and generated operator linear fractional relations of the following form: . We study some special type of factorization for plus-operators T, among ...
IEEE

Topics in Quaternion Linear Algebra

Quaternions are a number system that has become increasingly useful for representing the rotations of objects in three-dimensional space and has important applications in theoretical and applied ...