Editorial: Novel methods and theories in numerical algebra with interdisciplinary applications

The purpose of the conference was to provide a high-level and friendly platform for experts in numerical algebra and scientific computing to report state-of-the-art research results, exchange new ideas, and discuss future developments. The talks demonstrate the present activity in these areas and illustrate the diversity of the ongoing research. The top-ics discussed include preconditioning and iterative methods for large sparse systems of linear and nonlinear equations such as standard and generalized saddle-point problems, for least-squares problems in matrix and tensor forms, for linear and nonlinear matrix equations such as algebraic Riccati equations, and for linear and nonlinear eigenvalue problems; modulus-based matrix splitting iteration methods for linear and nonlinear complementarity problems; sinc discretiza-tions for linear ordinary differential equations; fast preconditioned and iterative methods for fractional partial differential equations; and sparse and structured matrix computations, as well as parallel computing. Applications to computational fluid dynamics, image restoration, elliptic optimal control, computerized tomography image reconstruction, and liquid crystal modelling were presented.