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Abstract The conjugate gradient (CG) method for optimization and equation solving is described, along with three principal families of algorithms derived from it. In each case, a foundational CG algorithm is formulated mathematically and followed by a brief discussion of refinements and variants within its family. The hierarchical nature of the subject matter is highlighted, because each foundational CG algorithm presented is a descendant of one earlier in the list from which it inherits fundamental algorithmic properties. Copyright © 2009 John Wiley & Sons, Inc. This article is categorized under: Algorithms and Computational Methods > Numerical Methods
J. L. Nazareth (Wed,) studied this question.
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