For the function f (xv) of the vector xv, the gradient is the vector of the first partial derivatives (if they exist) evaluated at a specific point xv0 and is written as
It is normal or perpendicular to the tangent of the contour of f(xv) that passes through xv0. Its direction is the direction of maximum increase of f(xv) and its length is the magnitude of that maximum rate of in-crease.
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© 2001 Kluwer Academic Publishers
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Gass, S.I., Harris, C.M. (2001). Gradient vector . In: Gass, S.I., Harris, C.M. (eds) Encyclopedia of Operations Research and Management Science. Springer, New York, NY. https://doi.org/10.1007/1-4020-0611-X_397
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DOI: https://doi.org/10.1007/1-4020-0611-X_397
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