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- W2964275340 abstract "We show in this paper that the roots x1 and x2 of a scalar quadratic polynomial ax 2 +bx+c = 0 with real or complex coecients a, b c can be computed in a elementwise mixed stable manner, measured in a relative sense. We also show that this is a stronger property than norm-wise backward stability, but weaker than element-wise backward stability. We nally show that there does not exist any method that can compute the roots in an element-wise backward stable sense, which is also illustrated by some numerical experiments." @default.
- W2964275340 created "2019-07-30" @default.
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- W2964275340 date "2015-01-01" @default.
- W2964275340 modified "2023-09-27" @default.
- W2964275340 title "Revisiting the stability of computing the roots of a quadratic polynomial" @default.
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