For a rational matrix function Φ with poles outside the unit circle, we estimate the degree of the unique superoptimal approximation 𝒜Φ by matrix functions analytic in the unit disk. We obtain sharp ...

Abstract: In dealing with linear time-invariant systems, one often encounters the partial fraction expansion of rational functions. For the case of multiple and complex conjugate poles, the ...

Abstract: The frequency response function (FRF) is a fundamental property of a linear time-invariant system that describes the system's frequency-dependent behavior. Accurately measuring the FRF of ...

The Monthly publishes articles, as well as notes and other features, about mathematics and the profession. Its readers span a broad spectrum of mathematical interests, and include professional ...

These exercises are intended to be built by collaboration, we need you! If you find any bugs or misspells please contribute and report them. You can open these exercises in just a few seconds by ...

Custom functions enable you to add new functions to Excel by defining those functions in JavaScript as part of an add-in. Users within Excel can access custom functions just as they would any native ...

The banking industry, as the lifeblood of the modern economy, is actively embracing evolution as a "technology pioneer," ...

The Musical Gestures Toolbox (MGT) is a Matlab toolbox for analysing music-related body motion, using sets of audio, video and motion capture data as source material. It was primarily developed for ...