On interpolation by matrices
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...
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| Main Authors: | , |
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| Format: | text |
| Language: | English |
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Animo Repository
2007
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| Subjects: | |
| Online Access: | https://animorepository.dlsu.edu.ph/etd_bachelors/17471 |
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| Institution: | De La Salle University |
| Language: | English |
| 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. |
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