The Change-of-Variables Formula Using Matrix Volume
نویسنده
چکیده
The matrix volume is a generalization, to rectangular matrices, of the absolute value of the determinant. In particular, the matrix volume can be used in change-of-variables formulæ, instead of the determinant (if the Jacobi matrix of the underlying transformation is rectangular). This result is applicable to integration on surfaces, illustrated here by several examples. SIAM J. Matrix Analysis 21(1999), 300–312
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ورودعنوان ژورنال:
- SIAM J. Matrix Analysis Applications
دوره 21 شماره
صفحات -
تاریخ انتشار 1999