IPNet Digest Volume 1, Number 05 March 31, 1994 Today's Editor: Patricia K. Lamm Michigan State University Today's Topics: Preprint: The Trade-off Between Regularity and Stabilization in Tikhonov Regularization. Question: Xwave mailing list Table of Contents: J. of Math. Systems, Estimation, and Control Table of Contents: SIAM J. on Scientific Computing Table of Contents: Numerical Algorithms Table of Contents: SIAM J. Control and Optimization Table of Contents: SIAM J. Math. Analysis Table of Contents: Linear Algebra and its Applications Submissions for IPNet Digest: Mail to ipnet-digest@math.msu.edu Information about IPNet: Mail to ipnet-request@math.msu.edu ------------------------------ From: Markus.Hegland@anu.edu.au (Markus Hegland) Subject: Preprint available Date: Thu, 31 Mar 1994 The following preprint is available in printed form from CMA, Australian National University, ACT 0200 Canberra Australia or as Postscript file by anonymous ftp to thrain.anu.edu.au (150.203.33.7). The file is in pub/acreports/ACTR_33_03_94.ps.Z You need to run uncompress on this file before printing. %%%%%%%%%%%%%%%%%%% ANU Mathematics Report No. MR8-94: The Trade-off Between Regularity and Stabilization in Tikhonov Regularization. By: M.T. Nair, M. Hegland and R.S. Anderssen Abstract: When deriving rates of convergence for the approximations generated by the application of Tikhonov regularization to ill-posed operator equations, assumptions must be made about the nature of the stabilization (i.e., the choice of the semi-norm in the Tikhonov regularization) and the regularity of the least-squares solutions which one looks for. In fact, it is clear from the works of Hegland (1992), Engl and Neubauer (1985) and Natterer (1984) that, in terms of the rate of convergence, there is a trade--off between the stabilization and the regularity. It is this matter which is examined in this paper using the best--possible worst--error estimates. The results of this paper provide better estimates than that of Engl and Neubauer (1985), and also include the best possible rate derived by Natterer (1984) in the context of Hilbert scales. ------------------------------ From: statman@apeiron.ufstat.ufl.edu (Charles D. Kincaid) Subject: xwave[12] mailing list Date: Thu, 17 Mar 94 Is there interest in a mailing list for the xwave1 and xwave2 software that mallat, etal. have written? I am using this and extending it for my own purposes. Every once in a while I have questions about it and there really isn't a source for answers. I program pretty well (IMHO) and thus can sift through the code. However, I know that not everyone wants to do that. Also, even after sifting through the code and determining _what_ it does, there is sometimes still the question of _why_ it does it. If you believe that a mailing list for questions regarding xwave1 and xwave2 would be useful, please send me e-mail at statman@stat.ufl.edu. If there is suitable interest (a level that I haven't defined yet) I'll start one up. Sincerely, charles d. kincaid, Dept. of Statistics, Univ. of Florida ------------------------------ From: BESCHLER@SPINT.compuserve.com (Edwin F. Beschler) Subject: Journal of Mathematical Systems, Estimation, and Control Date: 12 Mar 94 JOURNAL OF MATHEMATICAL SYSTEMS, ESTIMATION, AND CONTROL Contributors and readers are reminded that, beginning with Volume Four, JMSEC begins its transition to a partially electronic format. Specifically, after the transition, each issue will carry a number of four page, extended summaries. There will in the future be between 15-20 such summaries per issue. The FULL paper will be available only electronically via anonymous ftp. For access, the full ftp address is required along with the article identification number which is carried on the first page of the extended summary. For the time being, copies of the full electronic version will be free of charge. More details are included in the Editorial in Volume 4#1 or directly from the publisher, Birkhaeuser Boston, 675 Massachusetts Avenue, Cambridge, MA 02139. Also, see e-mail address above. Articles appearing in SUMMARY form are available in COMPLETE form by anonymous ftp. Please follow these instructions: ADDRESS: trick.ntp.springer.de USER: anonymous (personal e-mail address) ACCESS: cd jmsec get ID#.ps The ID # is the five digit identification number of the paper desired. It is located at the bottom of the first page of the Summary and is called "Retrieval Code." %%%%%%%%%%%%%%%%%% Volume Four, Number One Editorial: A Transition to Electronic Publishing / Clyde F. Martin Perspective Problems in System Theory and its Application to Machine Vision / Bijoy K. Ghosh, Mrdjan Jankovic and Y.T. Wu Uniform Stabilization of the Kirchoff Plate Equation with Boundary Conditions Containing Moments of Inertia / Mary Ann Horn A Relation Between Continuous Time-Varying and Discontinuous Feedback Stabilization / Jean-Michel Coron and Lionel Rosier Shift of a Limit-Cycle in biology and Error-Equation / Daniel Claude Monotone Approximations for Convex Stochastic Control Problems Onsimo Hernandez-Lerma and Wolfgang J. Runggaldier SUMMARY: Modelling and Controllability of Plate-Beam Systems J. E. Lagnese SUMMARY: Conditions for Average Optimality in Markov Control Processes with Unbounded Costs and Controls Ra/'ul Montes-de-Oca and On/'esimo Hern/'andez-Lerma Book Reviews: Brian F. Doolin Numerical Methods for Conservation Laws, 2nd ed., by Randall J. Leveque Volume Four, Number Two An Application of Luenberger's Shuffle Algorithm to Regularization of Descriptor Systems by Proportional Feedback V. Lovass-Nagy, R. Mukundan and R.J. Schilling Towards Robustness and Genericity of Dynamic Feedback Linearization Krysztof Tcho/'n Finite Dimensional Filters with Nonlinear Drift I: A class of filters including both Kalman-Bucy filters and Benes filters / Stephen S.-T. Yau On Discontinous Strategies in Optimal Control Problems / D. B. Silin A Convergence Theory for Fully Galerkin Approximations of Parabolic PDE in Inverse Problems / J.G. Wade SUMMARY: Design of Finite-Dimensional Controllers for Infinite-dimensional Systems by Approximation / K.A. Morris SUMMARY: Fixed Gain Off-line Estimators of ARMA Parameters Laszlo Gerencser SUMMARY: Extended Controller Form and Invariants of Nonlinear Control Systems with a Single Input / Wei Kang SUMMARY: Necessary Condition and Genericity of Dynamic Feedback Linearization / P. Rouchon ------------------------------ From: tschoban@siam.org Subject: SIAM J. on Scientific Computing Table of Contents 15-3 Date: Mon, 07 Mar 94 SIAM Journal on Scientific Computing Volume 15, Number 3, May 1994 CONTENTS Rotating Waves from Hopf Bifurcations in Equations with O(2)-Symmetry W. Wu, P. J. Aston, and A. Spence Error-Minimizing Krylov Subspace Methods / Rudiger Weiss Positivity Conditions for Quartic Polynomials Gary Ulrich, Layne T.Watson Special Section on Iterative Methods in Numerical Linear Algebra Introduction / Tom Manteuffel and Steve McCormick Multilevel Algorithms Considered as Iterative Methods on Semidefinite Systems / Michael Griebel Analysis of V-Cycle Multigrid Algorithms for Forms Defined by Numerical Quadrature / J. H. Bramble, C. I. Goldstein, and J. E. Pasciak On the Multilevel Adaptive Iterative Method / U. Rude Multiplicative Schwarz Methods for Parabolic Problems / Xiao-Chuan Cai Domain Decomposition Algorithms with Small Overlap Maksymilian Dryja and Olof B. Widlund Multilevel Schwarz Methods for the Biharmonic Dirichlet Problem Xuejun Zhang Multilevel Algorithms for Constrained Compact Fixed Point Problems C. T. Kelley and E. W. Sachs Preconditioned Richardson and Minimal Residual Iterative Methods for Piecewise Hermite Bicubic Orthogonal Spline Collocation Equations Bernard Bialecki Towards Polyalgorithmic Linear System Solvers for Nonlinear Elliptic Problems Alexandre Ern, Vincent Giovangigli, David E. Keyes, and Mitchell D. Smooke Iterative Solution of the Eigenvalue Problem in Hopf Bifurcation for the Boussinesq Equations Hans D. Mittelmann, K.-T. Chang, D. F. Jankowski, and G. P. Neitzel Preconditioned, Adaptive, Multipole-Accelerated Iterative Methods for Three- Dimensional First-Kind Integral Equations of Potential Theory K. Nabors, F. T. Korsmeyer, F. T. Leighton, and J. White Iterative SVD-Based Methods for Ill-Posed Problems C. R. Vogel, J. G. Wade ------------------------------ From: publish@baltzer.nl (Daniel Baltzer) Subject: Numerical Algorithms, Volume 6, No. 3 - 4 Date: Thu, 17 Mar 1994 Contents: Numerical Algorithms, Volume 6, No. 3 - 4, 1994 Editor-in-Chief: Claude Brezinski Jacobi matrices for measures modified by a rational factor S. Elhay and J. Kautsky Convergence of intermediate rows of minimal polynomial and reduced rank extrapolation tables / A. Sidi Implementation of a proximal algorithm for linearly constrained nonsmooth optimalization problems and computational results J.C. Dodu, T. Eve and M. Minoux Asynchronous and corrected-asynchronous finite differences solutions of PDEs on MIMD multiprocessors D. Amitai, A. Averbuch, S. Itzikowitz and E. Turkel Optimal shift parameters for periodic spline interpolation G. Plonka Construction of iteration functions for the simultaneous computation of the solutions of equations and algebraic systems / A.-M. Bellido Fast iterative methods for least squares estimations M.K. Ng and R.H. Chan New control massic polygon of a B-rational curve resulting from a homographic change of parameter / J.-C. Fiorot, P. Jeannin and S. Taleb Book reviews Submissions of articles and proposals for special issues are to be addressed to the Editor-in-Chief: Claude Brezinski Laboratoire d'Analyse Numerique et d'Optimisation / UFR IEEA - M3 / Universite des Sciences et Technologies de Lille / 59655 Villeneuve d'Ascq Cedex / France E-mail: brezinsk@omega.univ-lille1.fr postal address: Paris Drouot BP 18 / 75433 Paris Cedex 09 / France Requests for FREE SPECIMEN copies and orders for Numerical Algorithms are to be sent to: E-mail: publish@baltzer.nl ------------------------------ From: aanderson@siam.org Subject: SICON 32-4 Table of Contents Date: Thu, 17 Mar 94 SIAM Journal on Control and Optimization Volume 32, Number 4, July 1994 CONTENTS An Adaptive Servomechanism for a Class of Infinite-Dimensional Systems Hartmut Logemann and Achim Ilchmann Minimax-Optimal Strategies for the Best-Choice Problem When a Bound is Known for the Expected Number of Objects / T. P. Hill and D. P. Kennedy The H-infinity-Problem with Control Constraints / Viorel Barbu Positive Dependence of a Class of Multivariate Exponential Distributions Ingram Olkin and Y. L. Tong Observability and Observers for Nonlinear Systems J. P. Gauthier and I. A. K. Kupka Decomposition and Parametrization of Semidefinite Solutions of the Continuous-Time Algebraic Riccati Equation / Harald K. Wimmer A Strong Separation Principle for Stochastic Control Systems Driven by a Hidden Markov Model / Raymond Rishel Optimal Switching in an Economic Activity Under Uncertainty Kjell Arne Brekke and Bernt Oksendal L-infinity-Exact Observability of the Heat Equation with Scanning Pointwise Sensor / Alexander Khapalov Boundary Control of a One-Dimensional Linear Thermoelastic Rod Scott W. Hansen Control of Infinite Behavior of Finite Automata J. G. Thistle and W. M. Wonham Supervision of Infinite Behavior of Discrete-Event Systems J. G. Thistle and W. M. Wonham A Version of Olech's Lemma in a Problem of the Calculus of Variations Arrigo Cellina and Sandro Zagatti Characterization of the L2-Induced Norm for Linear Systems with Jumps with Applications to Sampled-Data Systems N. Sivashankar and Pramod P. Khargonekar The Equivalence of Extremals in Different Representations of Unbounded Control Problems / J. Warga and Q. J. Zhu Controllability of a System of Two Symmetric Rigid Bodies in Three Space Michael J. Enos Optimal Angular Velocity Tracking with Fixed-Endpoint Rigid Body Motions Michael J. Enos Erratum: On the Optimal Tracking Problem / Ofer Zeitouni and Moshe Zakai ------------------------------ From: tate@siam.org Subject: Table of Contents, SIAM J. Math. Anal., vol. 25, no. 4 Date: Fri, 25 Mar 94 SIAM Journal on Mathematical Analysis Volume 25, Number 4, July 1994 CONTENTS Validity of the Quasigeostrophic Model for Large-Scale Flow in the Atmosphere and Ocean / Alfred J. Bourgeois and J. Thomas Beale Reaction and Diffusion at a Gas/Liquid Interface, II Heikki Haario and Thomas I. Seidman On a Nonlinear Parabolic Problem Arising in Some Models Related to Turbulent Flows / Jesus Ildefonso Diaz and Francois De Thelin On a Globally Existing Solution to the Inviscid Burgers Equation with a Nonlocal Term / Kazuo Ito A Variational Problem for Harmonic Functions in Ring-Shaped Domains with Partially Free Boundary / Andrea Colesanti The Thermistor Problem: Existence, Smoothness, Uniqueness, Blowup S. N. Antontsev and M. Chipot Existence and Uniqueness of the C Solution for the Thermistor Problem with Mixed Boundary Value / Guangwei Yuan and Zuhan Liu The Qualitative Analysis of a Dynamical System Modeling the Formation of Multilayer Scales on Pure Metals H. C. Akuezue, R. L. Baker, M. W. Hirsch Splay-Phase Orbits for Equivariant Flows on Tori / Renato E. Mirollo A Velocity Functional for an Analysis of Stability in Delay-Differential Equations / James Louisell Stable Inhomogeneous Iterations of Nonlinear Positive Operators on Banach Spaces / Takao Fugimoto and Ulrich Krause Canonical Forms of Differential Equations Free From Accessory Parameters / Yoshishige Haraoka On Monotone Spline Approximation / X. M. Yu and S. P. Zhou ------------------------------ From: Richard Brualdi Subject: LINEAR ALGEBRA AND ITS APPLICATIONS Date: Tue, 29 Mar 1994 LINEAR ALGEBRA AND ITS APPLICATIONS Contents Volume 202 Products of Transvections in One Conjugacy Class in the Symplectic Group Over GF(3) / Erich W. Ellers Structure Preserving Piecewise Polynomial Interpolation for Definite Matrices / Luca Dieci A Matricial Description of Neville Elimination With Applications to Total Positivity / M. Gasca and J. M. Pena Effective Algorithms With Circulant-Block Matrices / Sergej Rjasanow Matrix Recursive Projection and Interpolation Algorithms / A. Messaodi On Generalized Spectral Functions, the Parametrization of Block Hankel and Block Jacobi Matrices, Some Root Location Problems / Michael Shmoish The Fisher-Hartwig Conjecture and Toeplitz Eigenvalues Estelle L. Basor and Kent E. Morrison A Solution of the Cauchy Problem for Multidimensional Discrete Linear Shift-Invariant Systems / Sandro Zampieri Complexity of Multiplication With Vectors for Structured Matrices I. Gohberg and V. Olshevsky Construction of Unitary and Normal Companion Matrices P. Do@a2rfler and G. Schmeisser Bounds for the Solutions of a Class of Tridiagonal Linear Systems L. Lopez Products of Cyclic Similarity Classes in the Groups GL*Dn(*IF)*b4 Arieh Lev Toeplitz Minimal Rank Completions / Hugo J. Woerdeman ------- end -------