𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On complete set of solutions for polynomial matrix equations

✍ Scribed by L. Jódar; E. Navarro

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
245 KB
Volume
3
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper we introduce the concept of co-solution of a polynomial matrix equation which permits us to obtain necessary and suthcient conditions so that a set of solutions be a complete set.

📜 SIMILAR VOLUMES

Rectangular co-solutions of polynomial m
Rectangular co-solutions of polynomial matrix equations and applications
✍ L. Jodar; E. Navarro 📂 Article 📅 1991 🏛 Elsevier Science 🌐 English ⚖ 264 KB

In this paper we introduce the concept of rectangular co-solution of a polynomial matrix equation which permit us to obtain a description of the general solution of systems of higher order differential equations with constant coefficients in a way analogous to the scalar case.

A complete algorithm for counting real s
A complete algorithm for counting real solutions of polynomial systems of equations and inequalities
✍ Bican Xia; Xiaorong Hou 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 561 KB

We present a complete and practical algorithm which can determine the number of distinct real solutions of a given polynomial system of equations and inequalities with integer coefficients mechanically. Based on this algorithm, a program called nearsolve has been implemented in Maple. The algorithm

Complete set of solutions of the general
Complete set of solutions of the generalized Bloch equation
✍ K. Kowalski; P. Piecuch 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 397 KB 👁 2 views

The genuine multireference approaches, including multireference coupled-cluster (MRCC) methods of the state-universal and valence-universal type, are based on the generalized Bloch equation. Unlike the Schrödinger equation, the Bloch equation is nonlinear and has multiple solutions. In this study, t