Factorization of totally positive, symmetric, periodic, banded matrices with applications /
| Main Authors: | , |
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| Format: | Book |
| Language: | English |
| Published: |
College Station, Texas :
Center for Approximation Theory, Department of Mathematics, Texas A & M University,
1991.
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| Series: | CAT report ;
no. 255. |
| Subjects: |
| Abstract: | We show that a totally positive, symmetric, periodic, banded matrix A can be factored in a symmetric manner into positive one-banded periodic factors and deduce from this that A has positive eigenvalues with certain restrictions on their coincidence and on the sign changes of the corresponding eigenvectors. From this are derived spectral properties of certain positive, periodic spline operators. |
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| Item Description: | "September 1991." |
| Physical Description: | 22 pages ; 28 cm |
| Bibliography: | Includes bibliographical references (page 22). |