Linear Reoriented Coordinates Method

This paper presents a non-traditional method and algorithm to calculate the inverse solution for a one-dimensional function without the diffeomorphism property. The proposed method is called the Linear Reoriented Coordinates Method (LRCM). The LRCM is a very powerful and useful too to calculate the symbolic solutions for transcendental functions where the inverse function is not possible to calculate using other traditional methods and only analytic solutions can be calculated but symbolic solutions are not possible to obtain. The description and conditions for the application of the method are presented in the paper. Three of the applications presented in the paper will be to optimize the maximum rectangular area for a floorplan for an 8-bit A/D converter given space constraints, to determine the maximum power for a photovoltaic module (PVM) and for a fuel cell. In both applications, it is not possible to calculate the maximum values using only differential calculus. Finally, examples and simulations for the LRCM are presented.