On real and complex S-orthogonal and S-householder matrices
Let F=R or C and let S ∈ Mn (F) be nonsingular. An A ∈ Mn (F) is said to be S-orthogonal if A is nonsigular and S-1 A T S = A -1. If in addition, rank (A - 1) =1, we say that A is S-Householder. Assume that S is skew symmetric. It is known that every S-orthogonal matrix is a product of S-Householde...
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| Format: | Thesis |
| Language: | English |
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Quezon City
Institute of Mathematics, College of Science, University of the Philippines Diliman
2014.
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