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

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Spectral Theory and Differential Equations

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

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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.

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

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  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.

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

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Authors
  1. L. Collatz
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William N. Everitt

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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

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