1. A training method for a support vector machine to perform data classification for a relationship between a training set of data, the method executed by a computer system, including executing an iterative process by a processor on the training set of data read from a data input device to determine parameters defining said machine represented by: 
 y=sgn ( w·x+βb ), where y is the classification output which is output by a data output device, x is the input data read from the data input device, βis 0 or 1, the vector w and bias b, being parameters defining a decision surface, said iterative process being executed by the processor based on a derivative optimization function for said parameters and said data set.