- 0.9999999300651202</code></pre><p>This will return the primal solution of the variable <code>x</code> as a vector. Dual solutions can be inquired similarly, by using the <code>multipliers</code> function.</p><p>ExaModels provide several APIs similar to this:</p><ul><li><a href="../core/#ExaModels.solution-Tuple{SolverCore.AbstractExecutionStats, Any}"><code>solution</code></a> inquires the primal solution.</li><li><a href="../core/#ExaModels.multipliers-Tuple{SolverCore.AbstractExecutionStats, ExaModels.Constraint}"><code>multipliers</code></a> inquires the dual solution.</li><li><a href="../core/#ExaModels.multipliers_L-Tuple{SolverCore.AbstractExecutionStats, Any}"><code>multipliers_L</code></a> inquires the lower bound dual solution.</li><li><a href="../core/#ExaModels.multipliers_U-Tuple{SolverCore.AbstractExecutionStats, Any}"><code>multipliers_U</code></a> inquires the upper bound dual solution.</li></ul><p>This concludes a short tutorial on how to use ExaModels to model and solve optimization problems. Want to learn more? Take a look at the following examples, which provide further tutorial on how to use ExaModels.jl. Each of the examples are designed to instruct a few additional techniques.</p><ul><li><a href="../quad/#quad">Example: Quadrotor</a>: modeling multiple types of objective values and constraints.</li><li><a href="../distillation/#distillation">Example: Distillation Column</a>: using subexpressions and two-dimensional index sets.</li><li><a href="../opf/#opf">Example: Optimal Power Flow</a>: handling complex data and using constraint augmentation.</li></ul><hr/><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl">Literate.jl</a>.</em></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../simd/">« Mathematical Abstraction</a><a class="docs-footer-nextpage" href="../performance/">Performance Tips »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.17.0 on <span class="colophon-date" title="Saturday 4 April 2026 08:24">Saturday 4 April 2026</span>. Using Julia version 1.12.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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