Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772931 | Linear Algebra and its Applications | 2018 | 30 Pages |
Abstract
Based on Stokes' theorem we derive a non-holomorphic functional calculus for matrices, assuming sufficient smoothness near eigenvalues, corresponding to the size of related Jordan blocks. It is then applied to the complex conjugation function Ï:zâ¦zâ¾. The resulting matrix agrees with the hermitian transpose if and only if the matrix is normal. Two other, as such elementary, approaches to define the complex conjugate of a matrix yield the same result.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Olavi Nevanlinna,