DLMF:3.2.E17 (Q1096): Difference between revisions

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imported>Admin
 
imported>Admin
 
Property / Symbols used
 
Property / Symbols used: condition number (locally) / rank
 
Normal rank
Property / Symbols used: condition number (locally) / qualifier
 
test:

κ ⁢ ( 𝐀 ) 𝜅 𝐀 {\displaystyle{\displaystyle\kappa(\mathbf{A})}}

\kappa(\mathbf{A})
Property / Symbols used: condition number (locally) / qualifier
 
xml-id: C3.S2.XMD7.m1adec

Latest revision as of 16:44, 1 January 2020

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DLMF:3.2.E17
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    Statements

    test
    ∥ 𝐱 * - 𝐱 ∥ p ∥ 𝐱 ∥ p ≤ κ ⁢ ( 𝐀 ) ⁢ ∥ 𝐫 ∥ p ∥ 𝐛 ∥ p . subscript norm superscript 𝐱 𝐱 𝑝 subscript norm 𝐱 𝑝 𝜅 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}}.}}
    0 references
    DLMF id
    DLMF:3.2.E17
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    comment
    Warning: Falling back to standard tex;
    0 references
    Symbols used
    condition number (locally)
    test
    κ ⁢ ( 𝐀 ) 𝜅 𝐀 {\displaystyle{\displaystyle\kappa(\mathbf{A})}}
    xml-id
    C3.S2.XMD7.m1adec
    0 references
     
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