Bohemian Matrices and Applications

“Bohemian matrices and applications” is a new and growing field in computational mathematics invented at Western University. The name “Bohemian” is a mnemonic for “Bounded Height Matrix of Integers”, which means that the entries of these matrices are drawn from a small set of numbers, such as {-1, 0, 1}. The original motivation for starting this field was to test software: we have found bugs in Matlab (a computer program which is widely-used by engineers and mathematicians), notably in the eigenvalue routine. However, as this field progressed, we have found many other applications of Bohemian matrices, such as (but not limited to) vibration analysis, compressed sensing, and optimization problems. The proposed research project (together with two of the top computer algebra research centers in the world) is to establish some foundational technical results for different families of Bohemian matrices. TO BE CONT’D

Faculty Supervisor:

Robert Corless

Student:

Partner:

University of Alcalá;University of Cantabria

Discipline:

Mathematics

Sector:

Education

University:

Western University

Program: