The least-squares solution to such problems is to minimize the [[L2 norm|<math>L^2</math> norm]]—that is, minimize the amount of energy in the system. This is usually simple mathematically (involving only a [[matrix multiplication]] by the [[pseudo-inverse]] of the basis sampled in). However, this leads to poor results for many practical applications, for which the unknown coefficients have nonzero energy. | The least-squares solution to such problems is to minimize the [[L2 norm|<math>L^2</math> norm]]—that is, minimize the amount of energy in the system. This is usually simple mathematically (involving only a [[matrix multiplication]] by the [[pseudo-inverse]] of the basis sampled in). However, this leads to poor results for many practical applications, for which the unknown coefficients have nonzero energy. |