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  1. Article

    Open Access

    Projection-Based Local and Global Lipschitz Moduli of the Optimal Value in Linear Programming

    In this paper, we use a geometrical approach to sharpen a lower bound given in [5] for the Lipschitz modulus of the optimal value of (finite) linear programs under tilt perturbations of the objective function. Th...

    M. J. Cánovas, M. J. Gisbert, D. Klatte in Journal of Optimization Theory and Applica… (2022)

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    Article

    Invasives Harnblasenkarzinom mit Lymphangiosis carcinomatosa und Carcinoma in situ bei einer 19-jährigen Patientin

    Wir berichten über eine 19-jährige Patientin, die sich zur Abklärung einer schmerzlosen Makrohämaturie vorstellte. Es wurde ein papillärer Tumor der rechten Blasenwand diagnostiziert. Die Histologie nach trans...

    T. Klatte, D. Klatte in Der Urologe (2007)

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    Article

    Die Skelettszintigraphie beim neu diagnostizierten Prostatakarzinom

    Die Indikationsstellung zur Skelettszintigraphie beim neu diagnostizierten, unbehandelten Prostatakarzinom ist kontrovers.

    T. Klatte, D. Klatte, M. Böhm, E. P. Allhoff in Der Urologe (2006)

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    Article

    Geschichte und Persönlichkeiten der Urologie an der Hochschule Magdeburg

    Im Jahre 1954 wurde die Medizinische Akademie Magdeburg gegründet. Zu diesem Zeitpunkt verfügte die Hochschule über keine Urologische Klinik. Diese erhielt sie 1957 durch Eingliederung der Chirurgisch-Urologis...

    T. Klatte, D. Klatte in Der Urologe (2006)

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    Article

    Second-Order Characterizations of Lipschitz Stability in Nonlinear Programming

    D. Klatte, B. Kummer in Journal of Mathematical Sciences (2003)

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    Article

    Buchbesprechungen

    D. Klatte, S. Voß in Operations-Research-Spektrum (1998)

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    Article

    Lower Semicontinuity of the Minimum in Parametric Convex Programs

    Recently, Best and Ding (Ref. 1) established a result on the lower semicontinuity of the infimum value function of a parametric convex quadratic program. In this paper, we extend this result to general convex ...

    D. Klatte in Journal of Optimization Theory and Applications (1997)

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    Article

    Metric regularity of the feasible set map** in semi-infinite optimization

    For parametric systems of (finitely many) equations and (infinitely many) inequalities the well-known concept of metric regularity is shown to be equivalent to the so-called extended Mangasarian-Fromovitz cons...

    R. Henrion, D. Klatte in Applied Mathematics and Optimization (1994)

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    Article

    Eimeria bovis in cattle: colostral transfer of antibodies and immune response to experimental infections

    IgM, IgG1, and IgG2 antibodies toEimeria bovis first-generation merozoite antigens were determined by enzyme-linked immunosorbent assay and Western blotting in naturally infected cows and in their offspring befor...

    N. Fiege, D. Klatte, D. Kollmann, H. Zahner, H. -J. Bürger in Parasitology Research (1992)

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    Article

    Implicit functions and sensitivity of stationary points

    We consider the spaceL(D) consisting of Lipschitz continuous map**s fromD to the Euclideann-space ℝ n ,D being an open bounded subset of ℝ n ....

    H. Th. Jongen, D. Klatte, K. Tammer in Mathematical Programming (1990)

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    Book

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    Chapter

    General Introduction

    Problems of optimization arise in many scientific, technological and economic fields. The models employed, like any mathematical model, only describe facets of the real-life situation and then only at some lev...

    B. Bank, J. Guddat, D. Klatte, B. Kummer, K. Tammer in Non-Linear Parametric Optimization (1982)

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    Chapter

    Basic Concepts and Definitions

    The majority of the concepts employed in this book derive from convex analysis and functional analysis, here for the main part we follow R. T. Rockafellar [2], J. Stoer, Ch. Witzgall [1], and E. Zeidler [1] respe...

    B. Bank, J. Guddat, D. Klatte, B. Kummer, K. Tammer in Non-Linear Parametric Optimization (1982)

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    Chapter

    Point-to-Set Map**s with Given Structure

    Various questions arising in the theory and application of parametric optimization motivate a study of the continuity of solution sets of systems of parametric inequalities. The present section is devoted to s...

    B. Bank, J. Guddat, D. Klatte, B. Kummer, K. Tammer in Non-Linear Parametric Optimization (1982)

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    Chapter

    Properties of Characteristic Parameter Sets for Special Classes of Optimization Problems

    In this chapter we restrict our considerations to parametric optimization problems in finite-dimensional spaces, some results may however be extended to linear normed spaces. We are concerned with characterist...

    B. Bank, J. Guddat, D. Klatte, B. Kummer, K. Tammer in Non-Linear Parametric Optimization (1982)

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    Chapter

    Stability Considerations

    In this chapter we present conditions for the stability of the parameter-dependent problem <m:math display='block'> <m:mrow> <m:mo stretchy='false'...

    B. Bank, J. Guddat, D. Klatte, B. Kummer, K. Tammer in Non-Linear Parametric Optimization (1982)

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    Chapter

    On Procedures for Analysing Parametric Optimization Problems

    It is well-known that there are many areas of application of parametric optimization, here we merely note the fields of vector optimization (see for example W. Dinkelbach [1], J. Focke [1], J. Guddat [5], and M. ...

    B. Bank, J. Guddat, D. Klatte, B. Kummer, K. Tammer in Non-Linear Parametric Optimization (1982)

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    Chapter

    On the lower semicontinuity of optimal sets in convex parametric optimization

    Regarding a special class of convex parametric problems sufficient conditions for the lower semicontinuity of the optimal solution sets are developed.

    D. Klatte in Point-to-Set Maps and Mathematical Programming (1979)