PARTIAL FRACTION DECOMPOSITION FROM A LINEAR-ALGEBRAIC VIEWPOINT

Article Sidebar

PDF
Published: Nov 15, 2009
DOI: https://doi.org/10.14403/jcms.2009.22.4.717
Keywords:
partial fraction decomposition, basis, linear combination, rational functions
Mathematics Subject Classification (2020):
Primary 15A03

Main Article Content

Jeong Keun Lee
Department of mathematics, Sun Moon University
Jun Soo Choa
Department of mathematics education, Sungkyunkwan University,
Min Shik Cho
Department of mathematics education, Korean National University of Education
Dong Hwan Han
Department of mathematics, Sun Moon University

Abstract





We show that to every real polynomial of degree n, there corresponds a certain basis for the space of polynomials of degree less than or equal to (n − 1). As an application, we give a new proof for the existence and uniqueness of the partial fraction decomposition of a rational function.





This article was migrated from the previous system via automation. The abstract may not be written correctly. Please view the PDF file.




Article Details

Issue
Vol. 22 No. 4 (2009)
Section
Articles