Staff Card
Alexander Ioffe
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Professor Emeritus
- Email: ioffetechnion.ac.il
- Office: 708
- Phone: 972-4-829-4099
- Fax: 972-4-829-3388
- Biographical Information
- Research Interests
- Selected Publications
- Personal Page
Selected Publications
A.D. Ioffe and V.M. Tikhomirov,
Theory of Extremal Problems, "Nauka", Moscow 1974,
(in Russian), English transl. North Holland 1979, German
transl. Acad. Verlag 1979 .
A.D. Ioffe, Necessary and sufficient conditions for a local minimum: 1. Reduction theorem and first order conditions, 2. Conditions of Levitin-Miljutin-Osmolovskii type, 3. Second order conditions and augmented duality, SIM J. Control & Optimization 17 (1979), 245-288.
A. Ioffe, Nonsmooth analysis: differential calculus of nondifferentiable functions, Trans. Amer. Math. Soc. 255 (1981), 1-55.
A. Ioffe, Proximal analysis and approximate subdifferentials, J. London Math. Soc. 41 (1990), 175-192.
A. Ioffe, Sensitivity analysis of nonlinear programs in Banach spaces, SIAM J. Optimization 4 (1994), 1-44.
A. Ioffe and E. Schwartzman, Metric critical point theory 1. Morse regularity and homotopic stability of a minimum, J. Math. Pures et Appl. 75 (1996), 125-153.
A. Ioffe, Euler-Lagrange and Hamiltonian formalisms in dynamic optimization, Trans. Amer. Math. Soc.,41 (1997), 2871-2900
A.D. Ioffe, Variational Methods in local and global nonsmooth analysis, lecture notes, in ``Nonlinear Analysis, Differential Equations and Control, NATO Science Series, vol. 528, Kluwer 1999
A.D. Ioffe, Metric regularity and subdifferential calculus, Russian Math. Surveys 55:3 (2000), 501-558
A.D. Ioffe. Calculus of Subdifferentials, book in progress (jointly with J.P. Penot)
A.D. Ioffe, Necessary and sufficient conditions for a local minimum: 1. Reduction theorem and first order conditions, 2. Conditions of Levitin-Miljutin-Osmolovskii type, 3. Second order conditions and augmented duality, SIM J. Control & Optimization 17 (1979), 245-288.
A. Ioffe, Nonsmooth analysis: differential calculus of nondifferentiable functions, Trans. Amer. Math. Soc. 255 (1981), 1-55.
A. Ioffe, Proximal analysis and approximate subdifferentials, J. London Math. Soc. 41 (1990), 175-192.
A. Ioffe, Sensitivity analysis of nonlinear programs in Banach spaces, SIAM J. Optimization 4 (1994), 1-44.
A. Ioffe and E. Schwartzman, Metric critical point theory 1. Morse regularity and homotopic stability of a minimum, J. Math. Pures et Appl. 75 (1996), 125-153.
A. Ioffe, Euler-Lagrange and Hamiltonian formalisms in dynamic optimization, Trans. Amer. Math. Soc.,41 (1997), 2871-2900
A.D. Ioffe, Variational Methods in local and global nonsmooth analysis, lecture notes, in ``Nonlinear Analysis, Differential Equations and Control, NATO Science Series, vol. 528, Kluwer 1999
A.D. Ioffe, Metric regularity and subdifferential calculus, Russian Math. Surveys 55:3 (2000), 501-558
A.D. Ioffe. Calculus of Subdifferentials, book in progress (jointly with J.P. Penot)