Advanced Topics in Linear Algebra

This book develops the Weyr matrix canonical form, a largely unknown cousin of the Jordan form. It explores novel applications, including include matrix commutativity problems, approximate simultaneous diagonalization, and algebraic geometry. Module theory and algebraic geometry are employed but with self-contained accounts.

Kevin C. O'Meara has taught and researched broadly within algebra, based mostly at the University of Canterbury, New Zealand, but with many visits to the University of Connecticut, USA. Linear algebra has been a recurring theme in much of his work, often in novel settings.

John Clark's research interests are in the theory of rings and modules, starting with his PhD written under the supervision of Christian Jensen of the University of Copenhagen. Ring theory has continued to fascinate and surprise him during these last forty years.

Charles I. Vinsonhaler has over 100 publications, most in algebra, a few in actuarial science and mathematics education. He coauthored a small book on problem solving with Tom DeFranco. He has held a number of visiting positions, including the University of Canterbury, NZ, where he was an Erskine Fellow.