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PDF-1.2ExamplesofGateauxdifferentials1.2.1LinearandquadraticfunctionsLetfa

PDF-1.2ExamplesofGateauxdifferentials1.2.1LinearandquadraticfunctionsLetfa

Author : ellena-manuel | Published Date : 2015-07-27

edhxTfhTfNextletKbeasymmetricmatrixanddenepx2xTfxTKxComputetheGateauxdifferentialdhplime02xTfehTfxTKx2ehTKxe2hTKh2xTfxTKx ehTf2hTKx122TheexponentialfunctionThereareanumberofwa

edh(xTf)=hTf.Next letKbeasymmetricmatrix anddenep(x)=2xTf+xTKx.ComputetheGateauxdifferentialdhp=lime!02xTf+ehTf+xTKx+2ehTKx+e2hTKh2xTfxTKx e=hTf+2hTKx.1.2.2TheexponentialfunctionThereareanumberofwa

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