
Sylvestertype quaternion matrix equations with arbitrary equations and arbitrary unknowns
In this paper, we prove a conjecture which was presented in a recent pap...
read it

Existence, uniqueness, and approximation of solutions of jumpdiffusion SDEs with discontinuous drift
In this paper we study jumpdiffusion stochastic differential equations ...
read it

Structured condition number for multiple righthand side linear systems with parameterized quasiseparable coefficient matrix
In this paper, we consider the structured perturbation analysis for mult...
read it

The Spectral Approach to Linear Rational Expectations Models
This paper considers linear rational expectations models in the frequenc...
read it

Prioritized Inverse Kinematics: Nonsmoothness, Trajectory Existence, Task Convergence, Stability
In this paper, we study various theoretical properties of a class of pri...
read it

Persistent Clustering and a Theorem of J. Kleinberg
We construct a framework for studying clustering algorithms, which inclu...
read it

Rotational Uniqueness Conditions Under Oblique Factor Correlation Metric
In an addendum to his seminal 1969 article Jöreskog stated two sets of c...
read it
Strong Solutions of the Fuzzy Linear Systems
We consider a fuzzy linear system with crisp coefficient matrix and with an arbitrary fuzzy number in parametric form on the righthand side. It is known that the wellknown existence and uniqueness theorem of a strong fuzzy solution is equivalent to the following: The coefficient matrix is the product of a permutation matrix and a diagonal matrix. This means that this theorem can be applicable only for a special form of linear systems, namely, only when the system consists of equations, each of which has exactly one variable. We prove an existence and uniqueness theorem, which can be use on more general systems. The necessary and sufficient conditions of the theorem are dependent on both the coefficient matrix and the righthand side. This theorem is a generalization of the wellknown existence and uniqueness theorem for the strong solution.
READ FULL TEXT
Comments
There are no comments yet.