𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Convexity of rational curves and total positivity

✍ Scribed by J.M. Carnicer; M. García-Esnaola; J.M. Peña

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
968 KB
Volume
71
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Total Positivity and Convexity Preservat
Total Positivity and Convexity Preservation
✍ Michael S. Floater 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 196 KB

In this paper we define convexity and rational convexity preservation of systems of functions and we show that total positivity and rational convexity preservation are equivalent. We also characterize certain convexity preserving systems in terms of weak Tchebycheff systems. Curve intersections and

The Convex Hull of Rational Plane Curves
The Convex Hull of Rational Plane Curves
✍ Gershon Elber; Myung-Soo Kim; Hee-Seok Heo 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 220 KB

We present an algorithm that computes the convex hull of multiple rational curves in the plane. The problem is reformulated as one of finding the zero-sets of polynomial equations in one or two variables; using these zero-sets we characterize curve segments that belong to the boundary of the convex

Correlation matrices of yields and total
Correlation matrices of yields and total positivity
✍ Ernesto Salinelli; Carlo Sgarra 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 144 KB

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