Completeness of real Toda flows and totally positive matrices
β Scribed by M.I. Gekhtman; M.Z. Shapiro
- Book ID
- 105742932
- Publisher
- Springer-Verlag
- Year
- 1997
- Tongue
- French
- Weight
- 213 KB
- Volume
- 226
- Category
- Article
- ISSN
- 0025-5874
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π SIMILAR VOLUMES
An n Γ m real matrix A is said to be totally positive (strictly totally positive) if every minor is nonnegative (positive). In this paper, we study characterizations of these classes of matrices by minors, by their full rank factorization and by their thin QR factorization.
It has been empirically observed that correlation matrices of forward interest rates have the first three eigenvalues which are simple and their corresponding eigenvectors, termed as shift, slope and curvature respectively, with elements presenting changes of sign in a regular way. These spectral pr