1. A method for computing cardiac output from tonometry data using a clinical operator device, said method comprising: measuring one or more hemodynamic parameter values of a living test subject using applanation of a tonometric sensor in data communication with said clinical operator device; processing said one or more hemodynamic parameter values of said living test subject using a pre-determined mathematical model to determine a cardiac output value of said living test subject, said pre-determined mathematical model stored in a non-transitory storage medium of said clinical operator device, said processing being carried out substantially automatically via a computerized process, said processing comprising: automatically inputting said measured one or more hemodynamic parameter values into said pre-determined mathematical model; calculating, via said pre-determined mathematical model, a test subject input vector for said living test subject from said measured one or more hemodynamic parameter values of said living test subject; and correlating, via said pre-determined mathematical model, said test subject input vector to one of a plurality of linked input vectors and cardiac output target values to determine said cardiac output value of said living test subject from said one or more hemodynamic parameter values; and based at least in part on said processing, automatically causing display on a display device of said cardiac output value for said living test subject, wherein said pre-determined mathematical model is previously generated by: measuring one or more physiologic parameter values from each of a plurality of model living subjects; generating a plurality of input vectors, each of said plurality of input vectors based at least in part on said one or more measured physiologic parameter values for one of said plurality of model living subjects; collecting a cardiac output measurement from each of said plurality of model living subjects, said cardiac output measurement determined via one or more non-tonometry data-based cardiac output determination techniques; computing a plurality of cardiac output target values based at least on said collected cardiac output measurement from each of said plurality of model living subjects; linking, utilizing multidimensional non-linear optimization, a corresponding one of said plurality of input vectors to one of said plurality of computed cardiac output target values for each of said plurality of model living subjects to generate said plurality of linked input vectors and cardiac output target values; and storing said plurality of linked input vectors and cardiac output target values.