Bifurcation analysis and complex dynamics of a Kopel triopoly model
In this paper, a novel type of generalized Kopel triopoly model is presented to reveal the
complex dynamics and transitions between different dynamic behaviors. First, based on …
complex dynamics and transitions between different dynamic behaviors. First, based on …
Solving Multi-linear Systems with -Tensors
This paper is concerned with solving some structured multi-linear systems, especially
focusing on the equations whose coefficient tensors are M M-tensors, or called M M …
focusing on the equations whose coefficient tensors are M M-tensors, or called M M …
[PDF][PDF] On the theories of triangular sets
P Aubry, D Lazard, MM Maza - Journal of Symbolic Computation, 1999 - Citeseer
Triangular sets appear under various names in many papers concerning systems of
polynomial equations. Ritt (1932) introduced them as characteristic sets. He described also …
polynomial equations. Ritt (1932) introduced them as characteristic sets. He described also …
[BOOK][B] Theory and computation of tensors: multi-dimensional arrays
Theory and Computation of Tensors: Multi-Dimensional Arrays investigates theories and
computations of tensors to broaden perspectives on matrices. Data in the Big Data Era is not …
computations of tensors to broaden perspectives on matrices. Data in the Big Data Era is not …
Tensor inversion and its application to the tensor equations with Einstein product
M Liang, B Zheng, R Zhao - Linear and Multilinear Algebra, 2019 - Taylor & Francis
Recently, the inverse of an even-order square tensor has been put forward in [Brazell M, Li
N, Navasca C, Tamon C. Solving multilinear systems via tensor inversion. SIAM J Matrix …
N, Navasca C, Tamon C. Solving multilinear systems via tensor inversion. SIAM J Matrix …
Numerical decomposition of the solution sets of polynomial systems into irreducible components
In engineering and applied mathematics, polynomial systems arise whose solution sets
contain components of different dimensions and multiplicities. In this article we present …
contain components of different dimensions and multiplicities. In this article we present …
Notes on triangular sets and triangulation-decomposition algorithms I: Polynomial systems
E Hubert - International Conference on Symbolic and Numerical …, 2001 - Springer
This is the first in a series of two tutorial articles devoted to triangulation-decomposition
algorithms. The value of these notes resides in the uniform presentation of triangulation …
algorithms. The value of these notes resides in the uniform presentation of triangulation …
[BOOK][B] Elimination practice: software tools and applications (With Cd-rom)
D Wang - 2004 - books.google.com
With a software library included, this book provides an elementary introduction to polynomial
elimination in practice. The library Epsilon, implemented in Maple and Java, contains more …
elimination in practice. The library Epsilon, implemented in Maple and Java, contains more …
Arjeh M. Cohen Henri Cohen
DEB Sturmfels - 2006 - Springer
Systems of polynomial equations are central to mathematics and its application to science
and engineering. Their solution sets, called algebraic sets, are studied in algebraic …
and engineering. Their solution sets, called algebraic sets, are studied in algebraic …
[PDF][PDF] On triangular decompositions of algebraic varieties
MM Maza - 2000 - csd.uwo.ca
We propose an efficient algorithm for computing triangular decompositions of algebraic
varieties. It is based on an incremental process and produces components in order of …
varieties. It is based on an incremental process and produces components in order of …