Multidimensional NMR inversion without Kronecker products: Multilinear inversion
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- 作者：David Medellí ; n ; djmedellin@utexas.edu" class="auth_mail" title="E-mail the corresponding author ; Vivek R. Ravi ; Carlos Torres-Verdí ; n
- 关键词：Multidimensional NMR inversion ; Two-dimensional NMR inversion ; Three-dimensional NMR inversion ; Multilinear inversion ; Bilinear inversion ; Tensor inversion ; Multidimensional inverse Laplace
- 刊名：Journal of Magnetic Resonance
- 出版年：2016
- 出版时间：August 2016
- 年：2016
- 卷：269
- 期：Complete
- 页码：24-35
- 全文大小：3025 K
文摘
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A memory efficient method for multidimensional NMR inversion is proposed.
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The new method uses multilinear forms to perform multidimensional inversion directly without using Kronecker products.
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Our method requires less than 0.1% of the memory required by current methods.
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Arbitrary regularization terms and non-separable kernels can be incorporated.
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Only a cost function and its first derivative are needed to perform inversion.