Diagonal minus tail forms and Lasserre's sufficient conditions for sums of squares
Using our recent results on diagonal minus tail forms, we give an easily tested sufficient condition for a polynomial f(x) = P i2I fixi in IR[x] = IR[x1, . . . , xn], to be a sum of squares of polynomials (sos). We show that the class of polynomials passing this test is wider than the class passing...
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| Format: | other |
| Language: | eng |
| Published: |
2009
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| Online Access: | http://hdl.handle.net/10316/11179 |
| Country: | Portugal |
| Oai: | oai:estudogeral.sib.uc.pt:10316/11179 |
| Summary: | Using our recent results on diagonal minus tail forms, we give an easily tested sufficient condition for a polynomial f(x) = P i2I fixi in IR[x] = IR[x1, . . . , xn], to be a sum of squares of polynomials (sos). We show that the class of polynomials passing this test is wider than the class passing Lasserre’s recent conditions. Another sufficient condition for f to be sos, like Lasserre’s piecewise linear in the fi, is also given. |
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