The geometric mean of two matrices from a computational viewpoint
Bruno Iannazzo · Numerical Linear Algebra with Applications · 2015
Summary The geometric mean of two matrices is considered from a computational viewpoint. Several numerical algorithms based on different properties and representations of the geometric mean are discussed and analyzed. It is shown that most of the algorithms can be classified in terms of the rational approximations of the inverse square root function. A review of relevant applications is given. Copyright © 2015 John Wiley & Sons, Ltd.