Can I read Linear Transformations of Variance/covariance Matrices on EtoBox?
Linear Transformations of Variance/covariance Matrices by Pascal Parois; Martin Lutz is a Materials Science article available to read on EtoBox.
What is Linear Transformations of Variance/covariance Matrices about?
Many applications in crystallography require the use of linear transformations on parameters and their standard uncertainties. While the transformation of the parameters is textbook knowledge, the transformation of the standard uncertainties is more complicated and needs the full variance/covariance matrix. For the transformation of second-rank tensors it is suggested that the 3 × 3 matrix is re-written into a 9 × 1 vector. The transformation of the corresponding variance/covariance matrix is then straightforward and easily implemented into computer software. This method is applied in the transformation of anisotropic displacement parameters, the calculation of equivalent isotropic displacement parameters, the comparison of refinements in different space-group settings and the calculation of standard uncertainties of eigenvalues.
Who reads Linear Transformations of Variance/covariance Matrices?
It is typically read by researchers, students, and practitioners in Materials Science.
- Author
- Pascal Parois; Martin Lutz
- Publisher
- International Union of Crystallography; International Union of Crystallography (IUCr) (ISSN 0108-7673)
- Published
- 2011
- Language
- EN
- Field
- Materials Science (Physical Sciences)