Add to ORKGThe topic of matrix stability is very important for determining the stability of solutions to systems of differential equations. We examine several problems in the field of matrix stability, including minimal conditions for a $7\times7$ matrix sign pattern to be potentially stable, and applications of sign patterns to the study of Turing instability in the $3\times3$ case. Furthermore, some of our work serves as a model for a new method of approaching similar problems in the future
AbstractThis paper provides a finitely computable graph-theoretic answer to the following question c...
We consider the following Schnakenberg model on the interval (−1, 1): ut = D1u − u + vu2 in (−1,...
Traditional linear stability analysis based on matrix diagonalization is a computationally intensive...
AbstractA sign pattern matrix A is called potentially stable if there exists a real matrix B∈Q(A) su...
Thesis (Ph. D.)--University of Washington, 1985A matrix A is sign stable if some matrix with the sam...
AbstractA square sign pattern A is potentially stable (PS) if there exists a real matrix having the ...
AbstractAn example of a 4×4 matrix is given that provides a counterexample to a result on Turing (di...
Turing instability originates from diffusion-induced instability within biochemical systems and has ...
This article discusses assessing the instability of a continuous linear homogeneous timeinvariant de...
AbstractThis paper provides a finitely computable graph-theoretic answer to the following question c...
AbstractThe problem of characterizing potentially stable sign-pattern matrices remains unsolved, eve...
Interest in stable matrices stems from a broad variety of subjects to which mathematics is applied: ...
This paper uses a forward and backward error analysis to try to identify some classes of matrices fo...
This paper deals with the most interesting three dimensional Volterra systems, which have first a s...
This paper deals with the most interesting three dimensional Volterra systems, which have first a s...
AbstractThis paper provides a finitely computable graph-theoretic answer to the following question c...
We consider the following Schnakenberg model on the interval (−1, 1): ut = D1u − u + vu2 in (−1,...
Traditional linear stability analysis based on matrix diagonalization is a computationally intensive...
AbstractA sign pattern matrix A is called potentially stable if there exists a real matrix B∈Q(A) su...
Thesis (Ph. D.)--University of Washington, 1985A matrix A is sign stable if some matrix with the sam...
AbstractA square sign pattern A is potentially stable (PS) if there exists a real matrix having the ...
AbstractAn example of a 4×4 matrix is given that provides a counterexample to a result on Turing (di...
Turing instability originates from diffusion-induced instability within biochemical systems and has ...
This article discusses assessing the instability of a continuous linear homogeneous timeinvariant de...
AbstractThis paper provides a finitely computable graph-theoretic answer to the following question c...
AbstractThe problem of characterizing potentially stable sign-pattern matrices remains unsolved, eve...
Interest in stable matrices stems from a broad variety of subjects to which mathematics is applied: ...
This paper uses a forward and backward error analysis to try to identify some classes of matrices fo...
This paper deals with the most interesting three dimensional Volterra systems, which have first a s...
This paper deals with the most interesting three dimensional Volterra systems, which have first a s...
AbstractThis paper provides a finitely computable graph-theoretic answer to the following question c...
We consider the following Schnakenberg model on the interval (−1, 1): ut = D1u − u + vu2 in (−1,...
Traditional linear stability analysis based on matrix diagonalization is a computationally intensive...