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- 2013427381 abstract "Based on undergraduate teaching to students in computer science, economics and mathematics at Aarhus University, this is an elementary introduction to convex sets and convex functions with emphasis on concrete computations and examples. Starting from linear inequalities and Fourier-Motzkin elimination, the theory is developed by introducing polyhedra, the double description method and the simplex algorithm, closed convex subsets, convex functions of one and several variables ending with a chapter on convex optimization with the Karush-Kuhn-Tucker conditions, duality and an interior point algorithm -- P. [4] of cover.".
- 2013427381 contributor B12812309.
- 2013427381 created "c2013.".
- 2013427381 date "2013".
- 2013427381 date "c2013.".
- 2013427381 dateCopyrighted "c2013.".
- 2013427381 description "1. Fourier-Motzkin elimination -- 2. Affine subspaces -- 3. Convex subsets -- 4. Polyhedra -- 5. Computations with polyhedra -- 6. Closed convex subsets and separating hyperplanes -- 7. Convex functions -- 8. Differentiable functions of several variables -- 9. Convex functions of several variables -- 10. Convex optimization -- Appendices.".
- 2013427381 description "Based on undergraduate teaching to students in computer science, economics and mathematics at Aarhus University, this is an elementary introduction to convex sets and convex functions with emphasis on concrete computations and examples. Starting from linear inequalities and Fourier-Motzkin elimination, the theory is developed by introducing polyhedra, the double description method and the simplex algorithm, closed convex subsets, convex functions of one and several variables ending with a chapter on convex optimization with the Karush-Kuhn-Tucker conditions, duality and an interior point algorithm -- P. [4] of cover.".
- 2013427381 description "Includes bibliographical references (p. 273-275) and index.".
- 2013427381 extent "xiv, 283 p. :".
- 2013427381 hasFormat "Also available in electronic format via the World Wide Web.".
- 2013427381 identifier "9789814412513 (hbk.)".
- 2013427381 identifier "9789814452762 (pbk.)".
- 2013427381 identifier "9814412511 (hbk.)".
- 2013427381 identifier "9814452769 (pbk.)".
- 2013427381 isFormatOf "Also available in electronic format via the World Wide Web.".
- 2013427381 issued "2013".
- 2013427381 issued "c2013.".
- 2013427381 language "eng".
- 2013427381 publisher "Singapore ; Hackensack, NJ : World Scientific,".
- 2013427381 relation "Also available in electronic format via the World Wide Web.".
- 2013427381 subject "Convex domains.".
- 2013427381 subject "Convex functions.".
- 2013427381 subject "QA331.5 .L295 2013".
- 2013427381 tableOfContents "1. Fourier-Motzkin elimination -- 2. Affine subspaces -- 3. Convex subsets -- 4. Polyhedra -- 5. Computations with polyhedra -- 6. Closed convex subsets and separating hyperplanes -- 7. Convex functions -- 8. Differentiable functions of several variables -- 9. Convex functions of several variables -- 10. Convex optimization -- Appendices.".
- 2013427381 title "Undergraduate convexity : from Fourier and Motzkin to Kuhn and Tucker.".
- 2013427381 type "text".