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3.2.E17

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MaRDI QIDQ1067

  • Label: 3.2.E17


Digital Library of Mathematical Functions ID 3.2.E17

βˆ₯ 𝐱 * - 𝐱 βˆ₯ p βˆ₯ 𝐱 βˆ₯ p ≀ ΞΊ ⁒ ( 𝐀 ) ⁒ βˆ₯ 𝐫 βˆ₯ p βˆ₯ 𝐛 βˆ₯ p . subscript norm superscript 𝐱 𝐱 𝑝 subscript norm 𝐱 𝑝 πœ… 𝐀 subscript norm 𝐫 𝑝 subscript norm 𝐛 𝑝 {\displaystyle{\displaystyle\frac{\|\mathbf{x}^{*}-\mathbf{x}\|_{p}}{\|\mathbf% {x}\|_{p}}\leq\kappa(\mathbf{A})\frac{\|\mathbf{r}\|_{p}}{\|\mathbf{b}\|_{p}}.}}


Constraint(s)

Symbols List

  • ΞΊ ⁒ ( 𝐀 ) πœ… 𝐀 {\displaystyle{\displaystyle\kappa(\mathbf{A})}} : condition number (locally)
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