On interpolation by matrices
Date of Publication
2007
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Thesis Adviser
Arlene A. Pascasio
Defense Panel Member
Sonia Y. Tan
Edmundo D. Perez, Jr.
Abstract/Summary
This thesis is an exposition of the article "Interpolation by Matrices" by Allan Pinkus, which appeared in the November 2004 issue of the Electronic Journal of Linear Algebra. In this paper, necessary and/or sufficient conditions were given for the existence of a matrix A such that for two given sets S = {x¹, x², ..., xk} and T = {y¹, y², ... , yk} of k vectors in Rn, where S is linearly independent, the relation Axj = yj, j = 1, ..., k is satisfied where A is one of the following types of matrices: positive definite matrix, Hermitian positive definite matrix, positive matrix, strictly totally positive matrix, or P-matrix.
Abstract Format
html
Language
English
Format
Accession Number
TU14195
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
56 leaves : ill.
Keywords
Matrices
Recommended Citation
Palanca, P. R., & Quilala, A. S. (2007). On interpolation by matrices. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/17471