WorldCat Identities

Mehrmann, V. L. (Volker Ludwig) 1955-

Works: 96 works in 221 publications in 2 languages and 2,886 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor, Honoree, Contributor
Classifications: QA372.5, 510
Publication Timeline
Most widely held works by V. L Mehrmann
The Autonomous linear quadratic control problem : theory and numerical solution by V. L Mehrmann( Book )

17 editions published between 1991 and 2006 in English and held by 256 WorldCat member libraries worldwide

A survey is given on the state of the art in theory and numerical solution of general autonomous linear quadratic optimal control problems (continuous and discrete) with differential algebraic equation constraints. It incorporates the newest developments on differential algebraic equations, Riccati equations and invariant subspace problems. In particular, it gives a decision chart of numerical methods, that can be used to determine the right numerical method according to special properties of the problem. The book closes a gap between mathematical theory, numerical solution and engineering application. The mathematical tools are kept as basic as possible in order to address the different groups of readers, mathematicians and engineers
Differential-algebraic equations : analysis and numerical solution by Peter Kunkel( Book )

10 editions published in 2006 in English and held by 215 WorldCat member libraries worldwide

Differential-algebraic equations are a widely accepted tool for the modeling and simulation of constrained dynamical systems in numerous applications, such as mechanical multibody systems, electrical circuit simulation, chemical engineering, control theory, fluid dynamics and many others. This is the first comprehensive textbook that provides a systematic and detailed analysis of initial and boundary value problems for differential-algebraic equations. The analysis is developed from the theory of linear constant coefficient systems via linear variable coefficient systems to general nonlinear systems. Further sections on control problems, generalized inverses of differential-algebraic operators, generalized solutions, and differential equations on manifolds complement the theoretical treatment of initial value problems. Two major classes of numerical methods for differential-algebraic equations (Runge--Kutta and BDF methods) are discussed and analyzed with respect to convergence and order. A chapter is devoted to index reduction methods that allow the numerical treatment of general differential-algebraic equations. The analysis and numerical solution of boundary value problems for differential-algebraic equations is presented, including multiple shooting and collocation methods. A survey of current software packages for differential-algebraic equations completes the text. The book is addressed to graduate students and researchers in mathematics, engineering and sciences, as well as practitioners in industry. A prerequisite is a standard course on the numerical solution of ordinary differential equations. Numerous examples and exercises make the book suitable as a course textbook or for self-study
Dimension reduction of large-scale systems : proceedings of a workshop held in Oberwolfach, Germany, October 19-25, 2003 by Peter Benner( Book )

12 editions published in 2005 in English and held by 93 WorldCat member libraries worldwide

In the past decades, model reduction has become an ubiquitous tool in analysis and simulation of dynamical systems, control design, circuit simulation, structural dynamics, CFD, and many other disciplines dealing with complex physical models. The aim of this book is to survey some of the most successful model reduction methods in tutorial style articles and to present benchmark problems from several application areas for testing and comparing existing and new algorithms. As the discussed methods have often been developed in parallel in disconnected application areas, the intention of the mini-workshop in Oberwolfach and its proceedings is to make these ideas available to researchers and practitioners from all these different disciplines
Numerische Mathematik : eine projektorientierte Einführung für Ingenieure, Mathematiker und Naturwissenschaftler by Matthias Bollhöfer( Book )

3 editions published in 2004 in German and held by 81 WorldCat member libraries worldwide

Das neuartige Konzept dieses Buches zur Einführung in die Numerische Mathematik ist es, numerische Verfahren anhand praktischer Modellbeispiele zu motivieren und die Methoden daran zu demonstrieren. Neben vielen anderen Beispielen aus den Natur- und Ingenieurwissenschaften ziehen sich daher wie ein roter Faden zwei Modellprojekte durch das Buch. Dieses Konzept simuliert die Vorgehensweise des Praktikers in Wissenschaft und Industrie und zeigt, wie sich die numerischen Verfahren zielgerichtet auf die Lösung praktischer Probleme hin entwickeln. Zu dem Buch gibt es eine Vielzahl von Begleitmaterialien im Internet, siehe So gibt es als Dozentenversion ein menügesteuertes MATLAB-Programm, welches sich sehr gut zur Präsentation der Verfahren in der Vorlesung eignet. Desweiteren werden zu jedem Kapitel weitere Übungsaufgaben mit Musterlösungen, sowie Programmieraufgaben im Baukastenprinzip angeboten. Obwohl die meisten Beweise angegeben sind, ermöglicht es das Konzept, die numerischen Methoden bei Bedarf auch ohne Beweise darzustellen. Zu diesem Zweck sind zahlreiche motivierende Erklärungen und Merksätze eingebaut. So eignet sich dieses Buch gut als Lehrbuch sowohl für Mathematikstudenten als auch für andere Studierende, die die Beweise nicht unbedingt benötigen
Control and optimization with differential-algebraic constraints by Lorenz T Biegler( Book )

7 editions published in 2012 in English and held by 76 WorldCat member libraries worldwide

Differential-algebraic equations are the most natural way to mathematically model many complex systems in science and engineering. Once the model is derived, it is important to optimize the design parameters and control it in the most robust and efficient way to maximize performance. This book presents the latest theory and numerical methods for the optimal control of differential-algebraic equations. The following features are presented in a readable fashion so the results are accessible to the widest audience: the most recent theory, written by leading experts from a number of academic and nonacademic areas and departments; several state-of-the-art numerical methods; and real-world applications
Produktionsfaktor Mathematik : wie Mathematik Technik und Wirtschaft bewegt by Martin Grötschel( Book )

16 editions published between 2009 and 2010 in English and German and held by 66 WorldCat member libraries worldwide

Mathematics as a production factor or driving force for innovation? Those, who want to know and understand why mathematics is deeply involved in the design of products, the layout of production processes and supply chains will find this book an indispensable and rich source. Describing the interplay between mathematical and engineering sciences the book focusses on questions like - How can mathematics improve to the improvement of technological processes and products - What is happening already? - Where are the deficits? - What can we expect for the future? 19 articles written by mixed teams of authors of engineering, industry and mathematics offer a fascinating insight of the interaction between mathematics and engineering
European Success Stories in Industrial Mathematics by Thibaut Lery( )

6 editions published between 2011 and 2012 in English and held by 43 WorldCat member libraries worldwide

This unique book presents real world success stories of collaboration between mathematicians and industrial partners, showcasing first-hand case studies, and lessons learned from the experiences, technologies, and business challenges that led to the successful development of industrial solutions based on mathematics. These success stories show the crucial contribution of mathematics to innovation and to the industrial creation of value, and the key position of mathematics in the handling of complex systems, amplifying innovation. Each story describes the challenge that led to the industrial cooperation, how the challenge was approached and how the solutions were achieved and implemented. When brought together, they illustrate the versatile European landscape of projects in almost all areas of applied mathematics and across all business sectors. This book of success stories has its origin in the Forward Look about Mathematics and Industry that was funded by the European Science Foundation (ESF) and coordinated by the Applied Mathematics Committee of the European Mathematical Society (EMS). In each of these success stories, researchers, students, entrepreneurs, policy makers and business leaders in a range of disciplines will find valuable material and important lessons that can be applied in their own fields
Linear algebra by Jörg Liesen( Book )

7 editions published in 2015 in English and held by 41 WorldCat member libraries worldwide

This self-contained textbook takes a matrix-oriented approach to linear algebra and presents a complete theory, including all details and proofs, culminating in the Jordan canonical form and its proof. Throughout the development, the applicability of the results is highlighted. Additionally, the book presents special topics from applied linear algebra including matrix functions, the singular value decomposition, the Kronecker product and linear matrix equations. The matrix-oriented approach to linear algebra leads to a better intuition and a deeper understanding of the abstract concepts, and therefore simplifies their use in real world applications. Some of these applications are presented in detailed examples. In several ?MATLAB-Minutes? students can comprehend the concepts and results using computational experiments. Necessary basics for the use of MATLAB are presented in a short introduction. Students can also actively work with the material and practice their mathematical skills in more than 300 exercises
Lineare Algebra : ein Lehrbuch über die Theorie mit Blick auf die Praxis by Jörg Liesen( )

2 editions published between 2011 and 2012 in German and held by 35 WorldCat member libraries worldwide

Das Werk liefert Studienanfängern der Mathematik sowie Studierenden ingenieur- und naturwissenschaftlicher Studiengänge die innerhalb der Grundvorlesung behandelten Inhalte der linearen Algebra. Die matrizenorientierte Darstellung verdeutlicht dabei die unmittelbare praktische Relevanz der Theorie, erleichtert nicht nur die spätere Anwendung theoretischer Resultate und ihre Umsetzung in praxisrelevante Algorithmen, sondern bietet ferner einen guten Zugang zu den abstrakten Konzepten und Strukturen der lineare Algebra. Über den Standardstoff hinausgehende Kapitel zu Matrix-Funktionen, zur Singulärwertzerlegung und zum Kroneckerprodukt vermitteln Kompetenzen, die von grosser Anwendungsrelevanz sind. Die Theorie ist mathematisch stringent und sauber dargestellt. Zahlreiche Beispiele verdeutlichen Sachverhalte, Aufgaben (ohne Lösungen) ermöglichen eine aktive Erarbeitung des Stoffes und kurze Anmerkungen zur Verwendung der Mathematik-Software MATLAB sind der Veranschaulichung wichtiger Resultate und Konzepte dienlich. Der Zielgruppe etwa neben Gerd Fischer (ID 50/08; ID-B 8/11) empfohlen. (3)
Matheon--mathematics for key technologies( Book )

1 edition published in 2014 in English and held by 19 WorldCat member libraries worldwide

Mathematics: intellectual endeavor, production factor, key technology, key to key technologies? Mathematics is all of these! The last three of its facets have been the focus of the research and development in the Berlin-based DFG Research Center MATHEON in the last twelve years. Through these activities MATHEON has become an international trademark for carrying out creative, application-driven research in mathematics and for cooperating with industrial partners in the solution of complex problems in key technologies. Modern key technologies have become highly sophisticated, integrating aspects of engineering, computer, business and other sciences. Flexible mathematical models, as well as fast and accurate methods for numerical simulation and optimization open new possibilities to handle the indicated complexities, to react quickly, and to explore new options. Researchers in mathematical fields such as Optimization, Discrete Mathematics, Numerical Analysis, Scientific Computing, Applied Analysis and Stochastic Analysis have to work hand in hand with scientists and engineers to fully exploit this potential and to strengthen the transversal role of mathematics in the solution of the challenging problems in key technologies. This book presents in seven chapters the highlights of the research work carried out in the MATHEON application areas: Life Sciences, Networks, Production, Electronic and Photonic Devices, Finance, Visualization, and Education. The chapters summarize many of the contributions, put them in the context of current mathematical research activities and outline their impact in various key technologies. To make some of the results more easily accessible to the general public, a large number of "showcases" are presented that illustrate a few success stories
Numerical methods for structured matrices and applications : the Georg Heinig memorial volume by Dario Bini( Book )

5 editions published in 2010 in English and held by 16 WorldCat member libraries worldwide

This cross-disciplinary volume brings together theoretical mathematicians, engineers and numerical analysts and publishes surveys and research articles related to the topics where Georg Heinig had made outstanding achievements. In particular, this includes contributions from the fields of structured matrices, fast algorithms, operator theory, and applications to system theory and signal processing
A new class of discretization methods for the solution of linear differential algebraic equations with variable coefficients by Peter Kunkel( Book )

2 editions published in 1992 in German and English and held by 16 WorldCat member libraries worldwide

Inexact Adaptive Finite Element Methods for Elliptic PDE Eigenvalue Problems by A Międlar( )

1 edition published in 2011 in English and held by 15 WorldCat member libraries worldwide

Self-Adjoint Differential-Algebraic Equations by Peter Kunkel( )

1 edition published in 2011 in German and held by 15 WorldCat member libraries worldwide

Formal Adjoints of Linear Dae Operators and their Role in Optimal Control by Peter Kunkel( )

1 edition published in 2011 in German and held by 15 WorldCat member libraries worldwide

Dissipativity of linear quadratic systems by Tobias Brüll( )

1 edition published in 2011 in English and held by 15 WorldCat member libraries worldwide

Numerical algebra, matrix theory, differential-algebraic equations and control theory : festschrift in honor of Volker Mehrmann by Peter Benner( Book )

3 editions published in 2015 in English and held by 14 WorldCat member libraries worldwide

This edited volume highlights the scientific contributions of Volker Mehrmann, a leading expert in the area of numerical (linear) algebra, matrix theory, differential-algebraic equations and control theory. These mathematical research areas are strongly related and often occur in the same real-world applications. The main areas where such applications emerge are computational engineering and sciences, but increasingly also social sciences and economics. This book also reflects some of Volker Mehrmann's major career stages. Starting out working in the areas of numerical linear algebra (his first full professorship at TU Chemnitz was in "Numerical Algebra," hence the title of the book) and matrix theory, Volker Mehrmann has made significant contributions to these areas ever since. The highlights of these are discussed in Parts I and II of the present book. Often the development of new algorithms in numerical linear algebra is motivated by problems in system and control theory. These and his later major work on differential-algebraic equations, to which he together with Peter Kunkel made many groundbreaking contributions, are the topic of the chapters in Part III. Besides providing a scientific discussion of Volker Mehrmann's work and its impact on the development of several areas of applied mathematics, the individual chapters stand on their own as reference works for selected topics in the fields of numerical (linear) algebra, matrix theory, differential-algebraic equations and control theory
A collection of benchmark examples for the numerical solution of algebraic Riccati equations by Peter Benner( Book )

5 editions published between 1995 and 1998 in English and held by 10 WorldCat member libraries worldwide

Perturbation theory for matrix equations by Metodi Konstantinov( Book )

5 editions published in 2003 in English and held by 5 WorldCat member libraries worldwide

The book is devoted to the perturbation analysis of matrix equations. The importance of perturbation analysis is that it gives a way to estimate the influence of measurement and/or parametric errors in mathematical models together with the rounding errors done in the computational process. The perturbation bounds may further be incorporated in accuracy estimates for the solution computed in finite arithmetic. This is necessary for the development of reliable computational methods, algorithms and software from the viewpoint of modern numerical analysis. In this book a general perturbation theory for matrix algebraic equations is presented. Local and non-local perturbation bounds are derived for general types of matrix equations as well as for the most important equations arising in linear algebra and control theory. A large number of examples, tables and figures is included in order to illustrate the perturbation techniques and bounds
Spectral theory, mathematical system theory, evolution equations, differential and difference equations : 21st International Workshop on Operator Theory and Applications, Berlin, July 2010 by Wolfgang Arendt( Book )

6 editions published between 2012 and 2014 in English and held by 2 WorldCat member libraries worldwide

The present volume contains a collection of original research articles and expository contributions on recent developments in operator theory and its multifaceted applications. They cover a wide range of themes from the IWOTA 2010 conference held at the TU Berlin, Germany, includingspectral theory,function spaces,mathematical system theory,evolution equations and semigroups,and differential and difference operators. The book encompasses new trends and various modern topics in operator theory, and serves as a useful source of information to mathematicians, scientists and engineers
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The Autonomous linear quadratic control problem : theory and numerical solution
Alternative Names
Mehrmann, V. 1955-

Mehrmann, V. L.

Mehrmann, V. L. 1955-

Mehrmann, Volker.

Mehrmann, Volker Ludwig

Mehrmann, Volker Ludwig 1955-

Volker Mehrmann deutscher Mathematiker

Volker Mehrmann Duits wiskundige

Volker Mehrmann German mathematician

Volker Mehrmann tysk matematikar

Volker Mehrmann tysk matematiker

English (100)

German (11)

Dimension reduction of large-scale systems : proceedings of a workshop held in Oberwolfach, Germany, October 19-25, 2003Produktionsfaktor Mathematik : wie Mathematik Technik und Wirtschaft bewegtEuropean Success Stories in Industrial MathematicsNumerical methods for structured matrices and applications : the Georg Heinig memorial volumePerturbation theory for matrix equations