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- W2982790906 abstract "Let F be an algebraically closed field of characteristic different from 2. Define the orthogonal group, On(F), as the group of n by n matrices X over F such that XX′=In, where X′ is the transpose of X and In the identity matrix. We show that every n by n symmetric matrix over F is orthogonally similar to a tridiagonal symmetric matrix.If further the characteristic is 0, we construct the tridiagonal normal form for the On(F)-similarity classes of symmetric matrices. We point out that, in this case, the known normal forms (as presented in the well known book by Gantmacher) are not tridiagonal." @default.
- W2982790906 created "2019-11-22" @default.
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- W2982790906 date "2004-06-01" @default.
- W2982790906 modified "2023-09-23" @default.
- W2982790906 title "Tridiagonal normal forms for orthogonal similarity classes of symmetric matrices*1" @default.
- W2982790906 doi "https://doi.org/10.1016/s0024-3795(04)00032-1" @default.
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