Evaluation of Determinants, Characteristic Equations and their Roots for a Class of Patterned Matrices
The variance-covariance matrices arising in the analysis of variance, response-surface fitting and order statistics have special patterns expediting and facilitating their algebraic manipulation. By appropriate triangulation and partitioning devices, the determinants of these matrices can be evaluat...
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| Veröffentlicht in: | Journal of the Royal Statistical Society. Series B, Methodological Methodological, 1960-01, Vol.22 (2), p.348-359 |
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| container_end_page | 359 |
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| container_issue | 2 |
| container_start_page | 348 |
| container_title | Journal of the Royal Statistical Society. Series B, Methodological |
| container_volume | 22 |
| creator | Roy, S. N. Greenberg, B. G. Sarhan, A. E. |
| description | The variance-covariance matrices arising in the analysis of variance, response-surface fitting and order statistics have special patterns expediting and facilitating their algebraic manipulation. By appropriate triangulation and partitioning devices, the determinants of these matrices can be evaluated from general formulae. The characteristic equations, and sometimes their roots, can also be obtained in a direct single step. |
| doi_str_mv | 10.1111/j.2517-6161.1960.tb00381.x |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 0035-9246 |
| ispartof | Journal of the Royal Statistical Society. Series B, Methodological, 1960-01, Vol.22 (2), p.348-359 |
| issn | 0035-9246 1369-7412 2517-6161 1467-9868 |
| language | eng |
| recordid | cdi_proquest_journals_1302937376 |
| source | JSTOR Mathematics and Statistics; JSTOR Complete Journals; Periodicals Index Online |
| subjects | Analysis of variance Determinants Eigenvalues Equation roots Matrices Method of characteristics Unit vectors |
| title | Evaluation of Determinants, Characteristic Equations and their Roots for a Class of Patterned Matrices |
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