Matrix functions, such as the exponential, square root and cosine, play an indispensable role in various fields including quantum mechanics, control theory and numerical solution of differential ...

Matrix inequalities and convex functions constitute a central theme in modern mathematical analysis, with far‐reaching implications across numerical analysis, optimisation, quantum information, and ...

In the numerical analysis of physical problems, there often arise large matrices which exhibit certain kinds of block-symmetry when partitioned appropriately. In this article, the structures of the ...

Most traditional high-performance computing applications focus on computations on very large matrices. Think seismic analysis, weather prediction, structural analysis. But today, with advances in deep ...

The conditioning of spline collocation matrices is considered in the case of a boundary value problem for an mth order equation. For bases with continuity built in (which corresponds to most current ...

I've been using Savitzky-Golay (SG) filters for quite a while, but always on 1D data, using an implementation based on the algorithm from the Numerical Recipes to calculate the kernel (mask, ...