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- W3035603944 abstract "Consider systems of equations $q_i(x)=0$, where $q_i: {Bbb R}^n longrightarrow {Bbb R}$, $i=1, ldots, m$, are quadratic forms. Our goal is to tell efficiently systems with many non-trivial solutions or near-solutions $x ne 0$ from systems that are far from having a solution. For that, we pick a delta-shaped penalty function $F: {Bbb R} longrightarrow [0, 1]$ with $F(0)=1$ and $F(y) 0$ is an absolute constant. This allows us to distinguish between easily solvable and badly unsolvable systems in some non-trivial situations." @default.
- W3035603944 created "2020-06-19" @default.
- W3035603944 creator A5082996804 @default.
- W3035603944 date "2020-06-16" @default.
- W3035603944 modified "2023-09-27" @default.
- W3035603944 title "Testing systems of real quadratic equations for approximate solutions." @default.
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- W3035603944 hasPublicationYear "2020" @default.
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