On Sign-Solvable Linear Systems and Their Applications in Economics

Presenter Information

Eric Hansen, Minnesota State University, Mankato

Location

CSU 202

Start Date

27-4-2009 10:00 AM

End Date

27-4-2009 12:00 PM

Student's Major

Mathematics and Statistics

Student's College

Science, Engineering and Technology

Mentor's Name

In-Jae Kim

Mentor's Department

Mathematics and Statistics

Mentor's College

Science, Engineering and Technology

Description

Sign-solvable linear systems are part of a branch of mathematics called qualitative matrix theory. Qualitative matrix theory is a development of matrix theory based on the sign (-, 0, +) of the entries of a matrix. Sign-solvable linear systems are useful in analyzing situations in which quantitative data is unknown or hard to measure, but qualitative information is known, usually based on theory. These situations arise frequently in a variety of disciplines outside of mathematics, including economics and biology. The applications of sign-solvable linear systems in economics are documented and the development of new examples is formalized mathematically. Additionally, recent mathematical developments about sign-solvable linear systems and their implications to economics are discussed.