26 июн. 2009 г. · A thorough discussion and development of the calculus of real-valued functions of complex-valued vectors is given using the framework of the Wirtinger Calculus.

Because this approach is based on being able to apply the calculus of real variables to make statements about functions of complex variables, in this note we ...

26 июн. 2009 г. · In this note we carefully distinguish between the complex cogradient operator (covariant derivative operator [22]), which is a row vector ...

A thorough discussion and development of the calculus of real-valued functions of complex-valued vectors is given using the framework of the Wirtinger ...

26 июн. 2009 г. · A thorough discussion and development of the calculus of real-valued functions of complex-valued vectors is given using the framework of the ...

8 дек. 2023 г. · In this tutorial, we provide a pedagogical introduction to Wirtinger Calculus. To illustrate the utility of this framework in quantum ...

12 июн. 2023 г. · In Section 4, we will use similar arguments of complex gradient operators and apply them to the study of bicomplex gradient ones. In particular, ...

The present work summarizes the most important properties and rules of CR calculus, yielding the mathematical concepts necessary for the introduction of the ...

In this work the approach is to use gradient-based procedures over the complex space, applying the so called CR-Calculus and the adaptive array theory. With ...

11 июл. 2023 г. · In Section 4, we will use similar arguments of complex gradient operators and apply them to the study of bicomplex gradient ones. In particular, ...