Alternative Equation Formats

The equation on this page is available in multiple formats. Depending on your browser, some formats might not render correctly.

MathML

\begin{aligned} W^{-} & = n diag (W_{1}^{-}, \dots, W_{p}^{-}) \\ W_{j}^{-} & = {\begin{cases} \frac{p_{λ}^{'} (| β_{j}^{(k)} |)}{| β_{j} |}, if β_{j} \neq 0 \\ 0, if β_{j} = 0 \end{cases} \\ b & = n diag (p_{λ}^{'} (| β_{1}^{(k)} |) sgn (β_{1}), \dots, p_{λ}^{'} (| β_{p}^{(k)} |) sgn (β_{p})) \end{aligned}

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} W^- & = n \text {diag}(W^-_{1},\ldots , W^-_{p} )\\ W^{-}_ j & = \begin{cases} \frac{p'_\lambda (|\beta _ j^{(k)}|)}{|\beta _ j|}, \text {if} \beta _ j \ne 0\\ 0, \text {if} \beta _ j = 0 \end{cases}\\ \mathbf{b} & = n \text {diag}(p'_\lambda (|\beta _1^{(k)}|)\text {sgn}(\beta _1),\ldots ,p'_\lambda (|\beta _ p^{(k)}|)\text {sgn}(\beta _ p)) \end{align*}