About the person
Curriculum vitae
Publications
Monograph
- Lenze, Burkhard 2020. Basiswissen Angewandte Mathematik – Numerik, Grafik, Kryptik. 2. Auflage Wiesbaden: Springer Vieweg Verlag. https://www.base-search.net/Record/17468c4497363a0fdb34f5b77a22dbae1111580a1f19a2ef80a677bf0895ffdd.
- Lenze, Burkhard 2020. Basiswissen Analysis. 2. Auflage Wiesbaden: Springer Vieweg Verlag. https://www.base-search.net/Record/a45601a14fc40188b1a6928bb13f09725e1b35502dc6908121fe5d6590b00eff.
- Lenze, Burkhard 2020. Basiswissen Lineare Algebra. 2. Auflage Wiesbaden: Springer Vieweg Verlag. https://www.base-search.net/Record/7368da07b4d55c0f9060f2d8053c996ed25951865d2a9f61b9c25c64c319f5c8.
- Lenze, Burkhard 2020. Mathematik und Quantum Computing. 2. Auflage Berlin: Logos Verlag.
- Lenze, Burkhard 2018. Mathematik und Quantum Computing. 1. Auflage Berlin: Logos Verlag.
- Lenze, Burkhard 2010. Einführung in die Fourier-Analysis. Berlin: Logos-Verlag.
- Lenze, Burkhard 2009. Einführung in die Mathematik neuronaler Netze. 3. Auflage Berlin: Logos Verlag.
Journal article
- Lenze, Burkhard 2004. On the points of regularity of multivariate functions of bounded variation. Real Analysis Exchange 29, 2, 647–656. https://projecteuclid.org/journals/real-analysis-exchange/volume-29/issue-2/On-the-points-of-regularity-of-multivariate-functions-of-bounded/rae/1149698555.pdf.
- Lenze, Burkhard 2004. Note on interpolation on the hypercube by means of sigma-pi neural networks. Neurocomputing 61, 471–478.
- Lenze, Burkhard & Raddatz, Jörg 2002. Effects of dilation and translation on a perceptron-type learning rule for higher order Hopfield neural networks. International journal of neural systems 12, 2, 83–93.
- Lenze, Burkhard 2002. On a perceptron-type learning rule for higher order Hopfield neural networks including dilation and translation. Neurocomputing 48, 1–4, 391–401.
- Lenze, Burkhard 2001. Improving Leung’s bidirectional learning rule for associative memories. IEEE Transactions on Neural Networks 12, 5, 1222–1226.
- Lenze, Burkhard 2001. A General Approach to Dyadic Periodic Interpolation Based on Discrete Sigma-Pi Orthogonality. Journal of Computational Analysis and Applications 3, 4, 271–280.
- Lenze, Burkhard 1999. Mathematics and Neural Networks - A Glance at some Basic Connections. Acta Applicandae Mathematicae 55, 303–311.
- Lenze, Burkhard 1998. Complexity preserving increase of the capacity of bidirectional associative memories by dilation and translation. Neural Networks 11, 6, 1041–1048.
- Lenze, Burkhard 1998. Linking discrete orthogonality with dilation and translation for incomplete sigma-pi neural networks of Hopfield-type. Discrete Applied Mathematics 89, 1–3, 169–180.
- Lenze, Burkhard 1996. Dilation and translation for incomplete sigma-pi neural networks of Hopfield-type - a case study. International journal of neural systems 7, 6, 689–695.
- Lenze, Burkhard 1996. Hyperbolic sigma-pi neural network operators for compactly supported continuous functions. Advances in Computational Mathematics 5, 163–172.
- Lenze, Burkhard 1994. On local and global sigma-pi neural networks a common link. Advances in Computational Mathematics 2, 4, 479–491.
- Lenze, Burkhard 1994. Note on a density question for neural networks. Numerical Functional Analysis and Optimization 15, 7–8, 909–913.
- Lenze, Burkhard 1994. How to make sigma-pi neural networks perform perfectly on regular training sets. Neural Networks 7, 8, 1285–1293.
- Lenze, Burkhard 1993. Local Behaviour Of Neural Network Operators - Approximation And Interpolation. Analysis : International Mathematical Journal of Analysis and its Applications 13, 4, 377–387.
- Lenze, Burkhard 1991. A hyperbolic modulus of smoothness for multivariate functions of bounded variation. Approximation Theory and its Applications 7, 1, 1–15.
- Lenze, Burkhard 1990. On constructive one-sided approximation of multivariate functions of bounded variation. Numerical Functional Analysis and Optimization 11, 1–2, 55–83.
- Lenze, Burkhard 1989. On the explicit solution of a time-optimal control problem by means of one-sided spline approximation. Journal of Approximation Theory 56, 3, 297–305.
- Lenze, Burkhard 1989. Uniqueness in best one-sided L1-approximation by algebraic polynomials on unbounded intervals. Journal of Approximation Theory 57, 2, 169–177.
- Lenze, Burkhard 1989. On one-sided spline approximation operators. Numerical Functional Analysis and Optimization 10, 1–2, 167–180.
- Lenze, Burkhard & Locher, Franz 1989. Hermite-Lagrange Two-Point Interpolation Via Peano Kernels. Results in Mathematics 16, 253–260.
- Lenze, Burkhard 1988. Operators for one-sided approximation by algebraical polynomials. Journal of Approximation Theory 54, 2, 169–179.
- Lenze, Burkhard 1988. On Lipschitz-type maximal functions and their smoothness spaces. Indagationes Mathematicae 91, 1, 53–63.
- Lenze, Burkhard 1988. Note on the connection between two types of maximal functions. Analysis : International Mathematical Journal of Analysis and its Applications 8, 3–4, 391–395.
Teaching
Lectures
- Mathematics for Computer Science 1
- Mathematics for Computer Science 2
- Mathematical foundations of encryption technology
- Mathematics and quantum computing