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- W2207407156 abstract "Matrix transformations in terms of triangular matrices is the easiest method of evaluating matrix-variate gamma and beta integrals in the real and complex cases. Here we give several procedures of explicit evaluation of gamma and beta integrals in the general real and complex situations. The procedure also reveals the structure of these matrix-variate integrals. Apart from the evaluation of matrix-variate gamma and beta integrals, the procedure can also be applied to evaluate such integrals explicitly in similar situations. Various methods described here will be useful to those who are working on integrals involving real-valued scalar functions of matrix argument in general and gamma and beta integrals in particular." @default.
- W2207407156 created "2016-06-24" @default.
- W2207407156 creator A5076299607 @default.
- W2207407156 date "2014-09-26" @default.
- W2207407156 modified "2023-09-23" @default.
- W2207407156 title "Explicit Evaluations of Matrix-variate Gamma and Beta Integrals in the Real and Complex Cases" @default.
- W2207407156 cites W2063698478 @default.
- W2207407156 doi "https://doi.org/10.48550/arxiv.1409.7561" @default.
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