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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oai:animorepository.dlsu.edu.ph:etd_bachelors-179842022-02-04T08:48:16Z On interpolation by matrices Palanca, Patricia Jessica R. Quilala, Anna Karina S. 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. 2007-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/etd_bachelors/17471 Bachelor's Theses English Animo Repository Matrices |
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De La Salle University |
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De La Salle University Library |
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Asia |
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Philippines Philippines |
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De La Salle University Library |
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DLSU Institutional Repository |
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English |
| topic |
Matrices |
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Matrices Palanca, Patricia Jessica R. Quilala, Anna Karina S. On interpolation by matrices |
| description |
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. |
| format |
text |
| author |
Palanca, Patricia Jessica R. Quilala, Anna Karina S. |
| author_facet |
Palanca, Patricia Jessica R. Quilala, Anna Karina S. |
| author_sort |
Palanca, Patricia Jessica R. |
| title |
On interpolation by matrices |
| title_short |
On interpolation by matrices |
| title_full |
On interpolation by matrices |
| title_fullStr |
On interpolation by matrices |
| title_full_unstemmed |
On interpolation by matrices |
| title_sort |
on interpolation by matrices |
| publisher |
Animo Repository |
| publishDate |
2007 |
| url |
https://animorepository.dlsu.edu.ph/etd_bachelors/17471 |
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1772835186016256000 |