A decomposition depended on directions for nonsingular linear transformation (Q1367395)
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scientific article; zbMATH DE number 1063986
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A decomposition depended on directions for nonsingular linear transformation |
scientific article; zbMATH DE number 1063986 |
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A decomposition depended on directions for nonsingular linear transformation (English)
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3 August 1998
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This paper presents a decomposition method for a nonsingular linear transformation on an \(n\)-dimensional Euclidean space. From chosen \(p\) orthonormal directions, it gives a method of finding the \(n-p\) quasi-principal directions for the transformation. The applications of such decomposition methods for determining the principal directions of a strain in a homogeneous deformation and its strain energy density function are also given. Poor English makes it somewhat difficult to appreciate the value of the paper.
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decomposition method
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linear transformation
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Euclidean space
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quasi-principal directions
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strain
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