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similarity transformation |
Also found in: Wikipedia | 0.03 sec. |
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similarity transformation [‚sim·ə′lar·əd·ē ‚tranz·fər‚mā·shən] (mathematics) A transformation of a euclidean space obtained from such transformations as translations, rotations, and those which either shrink or expand the length of vectors. A mapping that associates with each linear transformationPon a vector space the linear transformationR-1PRthat results when the coordinates of the space are subjected to a nonsingular linear transformationR. A mapping that associates with each square matrixPthe matrixQ=R-1PR, whereRis a nonsingular matrix andR-1is the inverse matrix ofR; ifPis the matrix representation of a linear transformation, then this definition is equivalent to the second definition. How to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit webmaster's page for free fun content. |
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