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IEVref: | 102-03-45 | ID: | |

Language: | en | Status: Standard | |

Term: | inner product, <of two tensors> | ||

Synonym1: | contracted product, <of two tensors> | ||

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Definition: | for two second-order tensors $T=({T}_{ij})$ and $S=({S}_{kl})$, tensor of the second order the components of which are given by ${(T\cdot S)}_{il}={\displaystyle \sum _{m}{T}_{im}}{S}_{ml}$ Note 1 to entry: The inner product is denoted by a half-high dot (·) between the two symbols representing the tensors. | ||

Publication date: | 2008-08 | ||

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Internal notes: | 2017-02-20: Editorial revisions in accordance with the information provided in C00019 (IEV 102) - evaluation. JGO | ||

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Note 1 to entry: The inner product is denoted by a half-high dot (·) between the two symbols representing the tensors.