Finding Matrices that Satisfy Functional Equations
Abstract:We discuss a method for constructing solutions of analytic functional equations in matrix functions. The approach combines elements of calculus and linear algebra: Taylor series and nilpotent matrices. As an example, we obtain a nonconstant matrix function solving the functional equation $N(2x)-(N(x))∧8=0$.
Document Type: Short Communication
Publication date: 2009-09-01
More about this publication?
- The College Mathematics Journal is designed to enhance classroom learning and stimulate thinking regarding undergraduate mathematics. CMJ publishes articles, short Classroom Capsules, problems, solutions, media reviews and other pieces. All are aimed at the college mathematics curriculum with emphasis on topics taught in the first two years.
- Information for Authors
- Submit a Paper
- Subscribe to this Title
- Membership Information
- Information for Advertisers
- Terms & Conditions
- MAA Journals at ingentaconnect
- MAA Store
- Ingenta Connect is not responsible for the content or availability of external websites