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Different applications of convex and nonconvex optimization, especially to differential equations

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Part of the Lecture Notes in Mathematics book series (LNM,volume 448)

Abstract

Some applications of nonlinear optimization, especially of convex, pseudoconvex, quasiconvex and other types of optimization, to analysis and differential equations are described.

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References

  1. Abadie, J.: Integer and nonlinear programming. Amsterdam: North Holland Publ. Comp. 1970, 544 p.

    MATH  Google Scholar 

  2. Collatz, L.: Functional Analysis and Numerical Mathematics. Academic Press 1966, 473 p.

    Google Scholar 

  3. Collatz, L.: Nichtlineare Approximationen bei Randwertaufgaben. Wiss. Z. Hochsch. Architektur u. Bauwesen Weimar, V. IKM 1969, 169–182.

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  4. Collatz, L.: Applications of nonlinear optimization to approximation problems. In: Integer and nonlinear programming. Amsterdam: North Holland Publ. Comp. 1970, p. 285–308.

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  5. Collatz, L. and W. Wetterling: Optimierungsaufgaben, Springer, 2. Aufl. 1971, 222 p. English edition to appear.

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  6. Collatz, L. and W. Krabs: Approximationstheorie, Teubner Stuttgart 1973, 208 p.

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  7. Guenther, R.: Some nonlinear parabolic differential equations, to appear.

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  8. Mangasarian, O.L.: Nonlinear programming. New York: Mc Graw Hill 1969, 220 p.

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  9. Stoer, J. and C. Witzgall: Convexity and optimization in finite dimensions I. Berlin-Heidelberg-New York: Springer 1970, 293 p.

    CrossRef  MATH  Google Scholar 

  10. Tolle, H.: Optimierungsverfahren, Berlin-Heidelberg-New York: Springer 1971, 291 p.

    CrossRef  MATH  Google Scholar 

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© 1975 Springer-Verlag

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Collatz, L. (1975). Different applications of convex and nonconvex optimization, especially to differential equations. In: Everitt, W.N. (eds) Spectral Theory and Differential Equations. Lecture Notes in Mathematics, vol 448. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0067082

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  • DOI: https://doi.org/10.1007/BFb0067082

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07150-1

  • Online ISBN: 978-3-540-37444-2

  • eBook Packages: Springer Book Archive