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Automorphic Forms : Research in Number Theory from Oman / / edited by Bernhard Heim, Mehiddin Al-Baali, Tomoyoshi Ibukiyama, Florian Rupp
| Automorphic Forms : Research in Number Theory from Oman / / edited by Bernhard Heim, Mehiddin Al-Baali, Tomoyoshi Ibukiyama, Florian Rupp |
| Edizione | [1st ed. 2014.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 |
| Descrizione fisica | 1 online resource (250 p.) |
| Disciplina | 512.70285 |
| Collana | Springer Proceedings in Mathematics & Statistics |
| Soggetto topico |
Number theory
Algebra Field theory (Physics) Group theory Number Theory Field Theory and Polynomials Group Theory and Generalizations |
| ISBN | 3-319-11352-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- On formal series of Jacobi forms and Borcherds products -- Finite or Infinite Number of Solutions of Polynomial Congruences in two Positive Integer Variables -- On the genus version of the basis problem II: The case of oldforms -- Restrictions of Jacobi Forms of Several Variables with special emphasis on Quaternionic Jacobi Forms -- Additive and multiplicative lifting properties of the Igusa modular form -- On the special values of certain L-series related to half-integral weight modular forms -- On explicit dimension formulas for spaces of Siegel cusp forms of degree two and their applications -- Borcherds lift on the paramodular group of level 3 -- On the proportion of quadratic twists for non-vanishing and vanishing central values of L-functions attached to primitive forms -- On the Existence of Hermitian Self-Dual Extended Abelian Group Codes -- On p-adic properties of Siegel modular forms -- Bessel periods of theta lifts to GSp(1,1) and central values of some L-functions of convolution type -- Intersections of two walls of the Gottschling fundamental domain of the Siegel modular group of genus two -- Non-vanishing of L-functions associated to cusp forms of half-integral weight -- The Restriction of Octonionic Theta Constants to the Quaternionic Half-space -- Hermitian modular forms of degree 2 over the Eisenstein integers. |
| Record Nr. | UNINA-9910299974903321 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Numerical analysis and optimization : NAO-V, Muscat, Oman, January 2020 / / Mehiddin Al-Baali, Anton Purnama, Lucio Grandinetti, editors
| Numerical analysis and optimization : NAO-V, Muscat, Oman, January 2020 / / Mehiddin Al-Baali, Anton Purnama, Lucio Grandinetti, editors |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (307 pages) |
| Disciplina | 519.3 |
| Collana | Springer proceedings in mathematics and statistics |
| Soggetto topico |
Mathematical optimization
Numerical analysis Anàlisi numèrica |
| Soggetto genere / forma |
Congressos
Llibres electrònics |
| ISBN | 3-030-72040-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- A Personal Perspective on Numerical Analysis and Optimization -- A Personal View of Numerical Analysis and Optimization -- Contents -- Contributors -- A New Inexact Nonmonotone Filter Sequential Quadratic Programming Algorithm -- 1 Introduction -- 2 Preliminaries -- 3 FiSQP Algorithm -- 4 iFiSQP Algorithm -- 5 Experimental Results -- 6 Concluding Remarks -- References -- Behavior of Limited Memory BFGS When Applied to Nonsmooth Functions and Their Nesterov Smoothings -- 1 Introduction -- 2 Limited Memory BFGS for Nonsmooth Optimization in Theory -- 2.1 Armijo-Wolfe Line Search -- 2.2 Full BFGS -- 2.3 Limited Memory BFGS -- 3 Limited Memory BFGS for Nonsmooth Optimization in Practice -- 3.1 Nesterov's Les Houches Problem -- 3.2 Smoothed Versions of Nesterov's Les Houches Problem -- 3.3 Max Eigenvalue Problem -- 3.4 Smoothed Max Eigenvalue Problem -- 3.5 Semidefinite Programming -- 3.6 Max Cut Problem -- 3.7 Smoothed Max Cut Problem -- 3.8 Matrix Completion Problem -- 3.9 Smoothed Matrix Completion Problem -- 4 Concluding Remarks -- References -- Subgradient Smoothing Method for Nonsmooth Nonconvex Optimization -- 1 Introduction -- 2 Preliminaries -- 3 Theoretical Background -- 4 Minimization Algorithm -- 4.1 Computation of Descent Directions -- 4.2 Solving Subproblem in Finding Search Directions -- 4.3 Minimization Algorithms -- 5 Numerical Experiments -- 6 Conclusions -- References -- On Some Optimization Problems that Can Be Solved in O(n) Time -- 1 Introduction -- 2 Preliminaries -- 2.1 Duality -- 2.2 Basic Lemmas -- 2.3 Simplifying Observations -- 2.4 Easy and Harder Cases -- 3 Analysis of the Nine Problems -- 3.1 Problems of Type (1,1) -- 3.2 Problems of Type (1,2) -- 3.3 Problems of Type (1,infty) -- 3.4 Problems of Type (2,1) -- 3.5 Problems of Type (2,2) -- 3.6 Problems of Type (2,infty).
3.7 Problems of Type (infty,1) -- 3.8 Problems of Type (infty,2) -- 3.9 Problems of Type (infty,infty) -- 4 Concluding Remarks -- References -- Iteration Complexity of a Fixed-Stepsize SQP Method for Nonconvex Optimization with Convex Constraints -- 1 Introduction -- 2 Preliminaries -- 2.1 Stationarity and Constraint Qualifications -- 2.2 Giving an Explicit Bound on the Multipliers -- 2.3 Detecting Stationarity -- 3 Complexity Analysis -- 4 Conclusions -- References -- Modelling and Inferring the Triggering Function in a Self-Exciting Point Process -- 1 Introduction -- 2 Background -- 3 Non-parametric Estimation -- 4 Parametric Trigger Models -- 5 Parametrised Trigger on Real Data -- 5.1 EM-Algorithm -- 5.2 Results on Real Data -- 5.3 Prediction Results -- 6 Discussion -- References -- A New Multi-point Stepsize Gradient Method for Optimization -- 1 Introduction -- 2 MPSG Method -- 2.1 Quadratic Case -- 2.2 General Unconstrained Optimization -- 3 Extension to Extreme Eigenvalue Problems -- 4 Numerical Results -- 4.1 Quadratic Optimization Problems -- 4.2 Unconstrained Optimization Problems -- 4.3 Extreme Eigenvalue Problems -- References -- A Julia Implementation of Algorithm NCL for Constrained Optimization -- 1 Introduction -- 2 LANCELOT and NCL -- 3 Optimal Tax Policy Problems -- 4 Julia Implementation -- 4.1 Key Features -- 4.2 Implementation and Solver Features -- 4.3 Results with Julia/NCL on the Tax Policy Problems -- 4.4 Results with Julia/NCL on CUTEst Test Set -- 5 Nonlinear Least Squares -- 6 Summary -- 7 Detailed Results for Julia/NCL on NLS Problems -- References -- A Survey on Modeling Approaches for Generation and Transmission Expansion Planning Analysis -- 1 Introduction -- 2 Review of GTEP Models -- 2.1 Modeling Choices -- 2.2 Uncertainty Inclusion -- 2.3 High Level of Temporal Detail. 3 A GTEP Model for the Decarbonization of Power Systems -- 4 Conclusions -- References -- Second Order Adjoints in Optimization -- 1 Introduction -- 2 Representation of First-Order Fréchet-Derivative -- 3 Representation of Second Order Fréchet-Derivative -- 4 Second Order Sensitivities and Second Order Adjoints -- 4.1 Sensitivity-Sensitivity Approach -- 4.2 Sensitivity-Adjoint Approach -- 4.3 Adjoint-Sensitivity Approach -- 4.4 Adjoint-Adjoint Approach -- 5 PDE-Constrained Optimization -- 6 Summary and Conclusions -- References -- Largest Small n-polygons: Numerical Optimum Estimates for n ≥ 6 -- 1 Introduction -- 2 A Standard Optimization Model for Finding LSP(n) -- 2.1 Model Formulation -- 2.2 Numerical Challenges -- 3 Related Earlier Studies -- 3.1 Analytical Approaches -- 3.2 Numerical Solution Approaches -- 3.3 The Asymptotic Behaviour of A(n) -- 4 Solving LSP Problems Numerically by AMPL-LGO -- 4.1 Solution Approach -- 4.2 The AMPL Model Development Environment -- 4.3 LGO Solver Suite for Nonlinear Optimization -- 5 Numerical Results and Comparisons -- 5.1 AMPL-LGO Results -- 5.2 An Illustrative Comparison with Results Obtained by Several AMPL Solvers -- 6 Regression Model Development -- 7 Concluding Remarks -- References -- Computational Science in the 17th Century. Numerical Solution of Algebraic Equations: Digit-by-Digit Computation -- 1 Introduction -- 2 Stevin's Method 1594 -- 3 Viète's Method 1600 -- 3.1 Pure Equations -- 3.2 Affected Equations -- 4 Test Examples from Harriot 1631 -- 5 Test Examples from Oughtred 1647/48 -- 6 On Newton's Annotations 1664 -- 7 Contributions of John Wallis 1685 -- 8 End of an Era -- 9 Computing the Square Root -- References -- NAOV-2020 Conference Participants. |
| Record Nr. | UNINA-9910512306803321 |
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Numerical analysis and optimization : NAO-V, Muscat, Oman, January 2020 / / Mehiddin Al-Baali, Anton Purnama, Lucio Grandinetti, editors
| Numerical analysis and optimization : NAO-V, Muscat, Oman, January 2020 / / Mehiddin Al-Baali, Anton Purnama, Lucio Grandinetti, editors |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (307 pages) |
| Disciplina | 519.3 |
| Collana | Springer proceedings in mathematics and statistics |
| Soggetto topico |
Mathematical optimization
Numerical analysis Anàlisi numèrica |
| Soggetto genere / forma |
Congressos
Llibres electrònics |
| ISBN | 3-030-72040-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- A Personal Perspective on Numerical Analysis and Optimization -- A Personal View of Numerical Analysis and Optimization -- Contents -- Contributors -- A New Inexact Nonmonotone Filter Sequential Quadratic Programming Algorithm -- 1 Introduction -- 2 Preliminaries -- 3 FiSQP Algorithm -- 4 iFiSQP Algorithm -- 5 Experimental Results -- 6 Concluding Remarks -- References -- Behavior of Limited Memory BFGS When Applied to Nonsmooth Functions and Their Nesterov Smoothings -- 1 Introduction -- 2 Limited Memory BFGS for Nonsmooth Optimization in Theory -- 2.1 Armijo-Wolfe Line Search -- 2.2 Full BFGS -- 2.3 Limited Memory BFGS -- 3 Limited Memory BFGS for Nonsmooth Optimization in Practice -- 3.1 Nesterov's Les Houches Problem -- 3.2 Smoothed Versions of Nesterov's Les Houches Problem -- 3.3 Max Eigenvalue Problem -- 3.4 Smoothed Max Eigenvalue Problem -- 3.5 Semidefinite Programming -- 3.6 Max Cut Problem -- 3.7 Smoothed Max Cut Problem -- 3.8 Matrix Completion Problem -- 3.9 Smoothed Matrix Completion Problem -- 4 Concluding Remarks -- References -- Subgradient Smoothing Method for Nonsmooth Nonconvex Optimization -- 1 Introduction -- 2 Preliminaries -- 3 Theoretical Background -- 4 Minimization Algorithm -- 4.1 Computation of Descent Directions -- 4.2 Solving Subproblem in Finding Search Directions -- 4.3 Minimization Algorithms -- 5 Numerical Experiments -- 6 Conclusions -- References -- On Some Optimization Problems that Can Be Solved in O(n) Time -- 1 Introduction -- 2 Preliminaries -- 2.1 Duality -- 2.2 Basic Lemmas -- 2.3 Simplifying Observations -- 2.4 Easy and Harder Cases -- 3 Analysis of the Nine Problems -- 3.1 Problems of Type (1,1) -- 3.2 Problems of Type (1,2) -- 3.3 Problems of Type (1,infty) -- 3.4 Problems of Type (2,1) -- 3.5 Problems of Type (2,2) -- 3.6 Problems of Type (2,infty).
3.7 Problems of Type (infty,1) -- 3.8 Problems of Type (infty,2) -- 3.9 Problems of Type (infty,infty) -- 4 Concluding Remarks -- References -- Iteration Complexity of a Fixed-Stepsize SQP Method for Nonconvex Optimization with Convex Constraints -- 1 Introduction -- 2 Preliminaries -- 2.1 Stationarity and Constraint Qualifications -- 2.2 Giving an Explicit Bound on the Multipliers -- 2.3 Detecting Stationarity -- 3 Complexity Analysis -- 4 Conclusions -- References -- Modelling and Inferring the Triggering Function in a Self-Exciting Point Process -- 1 Introduction -- 2 Background -- 3 Non-parametric Estimation -- 4 Parametric Trigger Models -- 5 Parametrised Trigger on Real Data -- 5.1 EM-Algorithm -- 5.2 Results on Real Data -- 5.3 Prediction Results -- 6 Discussion -- References -- A New Multi-point Stepsize Gradient Method for Optimization -- 1 Introduction -- 2 MPSG Method -- 2.1 Quadratic Case -- 2.2 General Unconstrained Optimization -- 3 Extension to Extreme Eigenvalue Problems -- 4 Numerical Results -- 4.1 Quadratic Optimization Problems -- 4.2 Unconstrained Optimization Problems -- 4.3 Extreme Eigenvalue Problems -- References -- A Julia Implementation of Algorithm NCL for Constrained Optimization -- 1 Introduction -- 2 LANCELOT and NCL -- 3 Optimal Tax Policy Problems -- 4 Julia Implementation -- 4.1 Key Features -- 4.2 Implementation and Solver Features -- 4.3 Results with Julia/NCL on the Tax Policy Problems -- 4.4 Results with Julia/NCL on CUTEst Test Set -- 5 Nonlinear Least Squares -- 6 Summary -- 7 Detailed Results for Julia/NCL on NLS Problems -- References -- A Survey on Modeling Approaches for Generation and Transmission Expansion Planning Analysis -- 1 Introduction -- 2 Review of GTEP Models -- 2.1 Modeling Choices -- 2.2 Uncertainty Inclusion -- 2.3 High Level of Temporal Detail. 3 A GTEP Model for the Decarbonization of Power Systems -- 4 Conclusions -- References -- Second Order Adjoints in Optimization -- 1 Introduction -- 2 Representation of First-Order Fréchet-Derivative -- 3 Representation of Second Order Fréchet-Derivative -- 4 Second Order Sensitivities and Second Order Adjoints -- 4.1 Sensitivity-Sensitivity Approach -- 4.2 Sensitivity-Adjoint Approach -- 4.3 Adjoint-Sensitivity Approach -- 4.4 Adjoint-Adjoint Approach -- 5 PDE-Constrained Optimization -- 6 Summary and Conclusions -- References -- Largest Small n-polygons: Numerical Optimum Estimates for n ≥ 6 -- 1 Introduction -- 2 A Standard Optimization Model for Finding LSP(n) -- 2.1 Model Formulation -- 2.2 Numerical Challenges -- 3 Related Earlier Studies -- 3.1 Analytical Approaches -- 3.2 Numerical Solution Approaches -- 3.3 The Asymptotic Behaviour of A(n) -- 4 Solving LSP Problems Numerically by AMPL-LGO -- 4.1 Solution Approach -- 4.2 The AMPL Model Development Environment -- 4.3 LGO Solver Suite for Nonlinear Optimization -- 5 Numerical Results and Comparisons -- 5.1 AMPL-LGO Results -- 5.2 An Illustrative Comparison with Results Obtained by Several AMPL Solvers -- 6 Regression Model Development -- 7 Concluding Remarks -- References -- Computational Science in the 17th Century. Numerical Solution of Algebraic Equations: Digit-by-Digit Computation -- 1 Introduction -- 2 Stevin's Method 1594 -- 3 Viète's Method 1600 -- 3.1 Pure Equations -- 3.2 Affected Equations -- 4 Test Examples from Harriot 1631 -- 5 Test Examples from Oughtred 1647/48 -- 6 On Newton's Annotations 1664 -- 7 Contributions of John Wallis 1685 -- 8 End of an Era -- 9 Computing the Square Root -- References -- NAOV-2020 Conference Participants. |
| Record Nr. | UNISA-996466560503316 |
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Numerical Analysis and Optimization : NAO-IV, Muscat, Oman, January 2017 / / edited by Mehiddin Al-Baali, Lucio Grandinetti, Anton Purnama
| Numerical Analysis and Optimization : NAO-IV, Muscat, Oman, January 2017 / / edited by Mehiddin Al-Baali, Lucio Grandinetti, Anton Purnama |
| Edizione | [1st ed. 2018.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 |
| Descrizione fisica | 1 online resource (311 pages) |
| Disciplina | 519.4 |
| Collana | Springer Proceedings in Mathematics & Statistics |
| Soggetto topico |
Mathematical optimization
Optimization |
| ISBN | 3-319-90026-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Al-Baali, M., Caliciotti, A., Fasano, G. and Roma, M: Quasi-Newton Based Preconditioning and Damped Quasi-Newton Schemes, for Nonlinear Conjugate Gradient Methods -- Bagirov, A.M., Sultanova, N., Al Nuaimat, A. and Taheri S: Solving Minimax Problems: Local Smoothing vs Global Smoothing -- Bagherpour, N. and Mahdavi-Amiri, N: Competitive Error in Variables Approach and Algorithms for Finding Positive Definite Solutions of Linear Systems of Matrix Equations -- Duff, I., Lopez, F. and Nakov, S: Sparse Direct Solution on Parallel Computers -- Gay, D. M: Revisiting Expression Representations for Nonlinear AMPL Models -- Hintermuller, M. and Strogies, N: On the Consistency of RK Methods up to Order 3 Applied to the Optimal Control of Scalar Conservation Laws -- Liao, L-Z. and Dai, Y-H: A Time Delay Neural Network Model for Unconstrained Nonconvex Optimization -- Ma, D., Judd, K., Orban, D. and Saunders, M: Stabilized Optimization via an NCL Algorithm -- Mittelmann, H: Combinatorial Optimization Problems in Engineering Applications -- Pani, A. K. and Kundu, S: Optimal Error Estimates for Semidiscrete Galerkin Approximations to Multi-dimensional Sobolev Equations with Burgers' Type Nonlinearity -- Pisciella, P., Vespucci, M. T., Vigan`o, G., Rossi, M. and Moneta, D: Optimal Power Flow Analysis in Power Dispatch for Distribution Networks -- Potra, F: Equilibria and Weighted Complementarity Problems -- Roos, K: A Mathematical Approach to Living on Sinking Ground. |
| Record Nr. | UNINA-9910300098303321 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Numerical Analysis and Optimization : NAO-III, Muscat, Oman, January 2014 / / edited by Mehiddin Al-Baali, Lucio Grandinetti, Anton Purnama
| Numerical Analysis and Optimization : NAO-III, Muscat, Oman, January 2014 / / edited by Mehiddin Al-Baali, Lucio Grandinetti, Anton Purnama |
| Edizione | [1st ed. 2015.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 |
| Descrizione fisica | 1 online resource (351 p.) |
| Disciplina | 510 |
| Collana | Springer Proceedings in Mathematics & Statistics |
| Soggetto topico |
Numerical analysis
Partial differential equations Differential equations Mathematical optimization Numerical Analysis Partial Differential Equations Ordinary Differential Equations Optimization |
| ISBN | 3-319-17689-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | A Conic Representation of the Convex Hull of Disjunctive Sets and Conic Cuts for Integer Second Order Cone Optimization -- Runge–Kutta methods for ordinary differential equations -- A Positive Barzilai-Borwein-Like Stepsize and An Extension for Symmetric Linear Systems -- Necessary Optimality Conditions for the Control of Partial Integro-Differential Equations -- The AMPL Modeling Language—an Aid to Formulating and Solving Optimization Problems -- An Interior-Point L1-Penalty Method for Nonlinear Optimization -- An L1-Penalty Scheme for the Optimal Control of Elliptic Variational Inequalities -- Dynamics Characterization Based Geo-Statistical Prior Sampling -- Solving Multiscale Linear Programs Using the Simplex Method in Quadruple Precision -- Real and Integer Extended Rank Reduction Formulas and Matrix Decompositions: A Review -- Distributed Block Coordinate Descent for Minimizing Partially Separable Functions -- Models for Optimization of Power Systems -- On Chubanov’s Method for Solving a Homogeneous Inequality System. |
| Record Nr. | UNINA-9910299787103321 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||