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

Print

Accession Number

TU14195

Shelf Location

Archives, The Learning Commons, 12F, Henry Sy Sr. Hall

Physical Description

56 leaves : ill.

Keywords

Matrices

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