Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614937 | Journal of Mathematical Analysis and Applications | 2016 | 27 Pages |
Abstract
Primary matrix functions and spectral functions are two classes of orthogonally invariant functions on a symmetric matrix argument. Many of their properties have been investigated thoroughly and find numerous applications both theoretical and applied in areas ranging from engineering, image processing, optimization and physics. We propose a family of maps that provide a natural connection and generalization of these two classes of functions. The family of maps also contains the well-known multiplicative and additive compound matrices. We explain when each member of this family is a differentiable function and exhibit a formula for its derivative.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Brendan P.W. Ames, Hristo S. Sendov,