- Tytuł:
- A relation between the concepts of transposition, similarity, and symmetry, as well as matrix equations
- Autorzy:
- Kaczorek, Tadeusz
- Powiązania:
- https://bibliotekanauki.pl/articles/747820.pdf
- Data publikacji:
- 2005
- Wydawca:
- Polskie Towarzystwo Matematyczne
- Tematy:
- Matrix equations and identities, Eigenvalues, singular values, and eigenvectors
- Opis:
- The author studies relationships among the notions of transpose, similarity, and symmetrization of matrices. It is shown that a square matrix is similar to its transpose, and that there exists a matrix that, simultaneously, carries this similarity transformation and symmetrizes the matrix. Furthermore, some equalities involving adjoint matrices are established as well. The proofs of the results are formulated for complex matrices, but they are valid also for other algebraically closed fields.
- Źródło:
-
Mathematica Applicanda; 2005, 33, 47/06
1730-2668
2299-4009 - Pojawia się w:
- Mathematica Applicanda
- Dostawca treści:
- Biblioteka Nauki
Artykuł