1. Complex Potential Theory Summer Research Semester on Feza Gursey Institute shall host a researchteaching semester (July 5 - Aug. 6 and Aug. 16 - 21, 1999) on Complex potential theory (CPT) and its applications. http://www.gursey.gov.tr/complex.html

Home General Research Semesters People ... Share your links Summer Research Semester on Complex Potential Theory and its Applications Feza Gursey Institute, Istanbul Turkey application form Feza Gursey Institute shall host a research-teaching semester (July 5 - Aug. 6 and Aug. 16 - 21, 1999) on Complex Potential Theory (CPT) and its applications. There will be a workshop in Edirne Aug. 9 - 16, 1999 emphasizing the connection between functional analysis and complex analysis. The principal organizers of this mini-semester are A. Aytuna (METU), T.Terzioglu (Sabanci University), and V. Zahariuta (Feza Gursey Institute). CPT is a relevant potential theory for the multidimensional complex analysis and deals with plurisubharmonic functions and maximal plurisubharmonic functions; it is strongly connected with the study of the complex Monge-Ampere equation. CPT is an active area of research in Mathematics with applications in Approximation and Interpolation Theory, Partial Differential Equations, Complex Dynamical Systems, Differential Geometry, Number Theory and so on. Our aim, during the semester, is to impart the main ideas of CPT to advanced graduate students and other interested mathematicians through a series of lectures by leading researchers in the field as well as to proceed scientific discussions of the most advanced results and some actual problems in CPT. The following specialists have been contacted and accepted to provide 10-15 hour courses of lectures each:

2. Potential Theory Karlin's page, which is a good place to find out who is doing work in potential theory.Category Science Math Analysis Complex Variable potential theory......potential theory, Introductory letter, READ. To see or edit a database of peopleinterested in potential theory, click on the first letter of the searched name. http://www.karlin.mff.cuni.cz/lat/katedry/kma/pt/

Potential Theory Introductory letter READ Discussion boards Conferences and Schools Queries and Answers Visits Abroad Positions and Scholarships Available ... General Announcements Who Is Who A B C D ... Z Preprints ARCHIVE Links to pages on related topic EMIS AMS Los Alamos National Laboratory e-Print Archive Banach Spaces ... History of mathematics To read or write messages on the discussion board, click on the name of the topic. To see or edit a database of people interested in Potential Theory, click on the first letter of the searched name. To see or send preprints in our archive, click on the label 'ARCHIVE'. Written by D.S.

3. Potential Theory potential theory in Gravity and Magnetic Applications Hardcover 441 pages, list $59.95, ISBN 0521-41508-X Paperback 441 pages, list $34.95, ISBN 0-521-57547-8 http://pangea.stanford.edu/~blakely/potential.html

Potential Theory in Gravity and Magnetic Applications Richard J. Blakely Cambridge University Press 1995 Hardcover: 441 pages, list $59.95, ISBN 0-521-41508-X Paperback: 441 pages, list $34.95, ISBN 0-521-57547-8 This book bridges the gap between the classic texts on potential theory and modern books on applied geophysics. It begins with Newton's second law of motion and concludes with topics on state-of-the-art interpretations of gravity and magnetic data. It was published as part of the Stanford-Cambridge Program The introductory chapters discuss potential theory, with emphasis on those aspects important to earth scientists, such as Laplace's equation, Newtonian potential, magnetostatic and electrostatic fields, conduction of heat, and spherical harmonic analysis. Difficult concepts are illustrated with easily visualized examples from steady-state heat flow. Later chapters apply these theoretical concepts specifically to the interpretation of gravity and magnetic anomalies, with emphasis on anomalies caused by crustal and lithospheric sources. Many of these examples are drawn from the modern geophysical literature. Topics include regional and global fields, forward modeling, inverse methods, depth-to-source estimation, ideal bodies, analytical continuation, and spectral analysis. The book contains over 100 black-and-white figures , problem sets at the end of each chapter, and exercises dispersed throughout the text. It also includes an appendix of

4. 31: Potential Theory Gives a brief description of potential theory with some indications of textbooks/tutorials and links Category Science Math Analysis Complex Variable potential theory......potential theory may be viewed as the mathematical treatment of the potentialenergyfunctions used in physics to study gravitation and electromagnetism. http://www.math.niu.edu/~rusin/known-math/index/31-XX.html

Search Subject Index MathMap Tour ... Help! ABOUT: Introduction History Related areas Subfields POINTERS: Texts Software Web links Selected topics here 31: Potential theory Introduction Potential theory may be viewed as the mathematical treatment of the potential-energy functions used in physics to study gravitation and electromagnetism. If some electrically charged particles are distributed in space, then a function U is defined on all of space (except right where the particles are) which measures the potential energy at each point. This function is harmonic , that is, it satisfies the Laplace equation d^2 U / dx^2 + d^2 U / dy^2 + d^2 U / dz^2 = 0, a condition which, for example, forces the value of U at a point to be the average of its values on a ball centered at that point. Classical problems include the determination of harmonic functions taking prescribed values at a point, on a sphere, and so on (the Dirichlet problem) that is, determining the force field which results from a particular arrangement of force sources. Harmonic functions in the plane include the real and complex parts of analytic functions, so Potential Theory overlaps Complex Analysis. (Actually potential theory in the plane is rather different from in higher dimensions, since the fundamental solution of the Laplace equation, corresponding to a single point charge, is 1/r^(n-2) in n-dimensional space, but log(r) in the plane. Nonetheless, the results in all dimensions often have cognates in complex analysis.)

5. International Conference On Complex Analysis And Potential Theory INTERNATIONAL CONFERENCE ON COMPLEX ANALYSIS AND potential theory IN KIEV ON 7 12 AUGUST 2001 http://www.imath.kiev.ua/~captconf

INTERNATIONAL CONFERENCE ON COMPLEX ANALYSIS AND POTENTIAL THEORY IN KIEV ON 7 - 12 AUGUST 2001 SECOND ANNOUNCEMENT The registration of participants will be held on 7 August at 9.00-19.00 and on 8 August at 9.00-9.30 in the Institute of Mathematics (IM) (the interactive map of Kiev is available at http://www.isgeo.kiev.ua; type "Tereshchenkivs'ka" instead of "Tereshchenkivska" at the streets window on searching of the IM area at this map). Please inform us about your itinerary including the time of arrival and departure, flights or trains and so on. Institute of Mathematics (IM) is located in the center of Kiev (new spelling "Kyiv") near the Metro Station "Theatralna". There is a good connection with the Kiev airports "Boryspil" and "Zhulyany" (now it is called "Kyiv") as well as with the main railway Station, which is called "Vokzal", more explicitly: from Vokzal two stops by Metro, from the airport "Kyiv" by trolley No. 9 or by a special taxi No. 9 to the Tereshchenkivska St., which is the last stop; from the airport "Boryspil" by special bus "Polit" to the stop "Metro University" or by Shuttle bus The corrected schedule of the Conference is the following. The Opening will be held on 8 August at 9.45 in the Conference Hall of IM. Scientific sessions will be held in three from 10.00 on 8 August till 13.00 on 12 August.

6. Potential Theory--Subroutines potential theory in Gravity and Magnetic Applications. Subroutines. Returnto potential theory. Cambridge University Press (United Kingdom). http://pangea.stanford.edu/~blakely/subroutines.html

Potential Theory in Gravity and Magnetic Applications Subroutines The textbook contains an appendix of computer subroutines written in FORTRAN that provide insight into underlying theories discussed in the text. The subroutines are used in some of the problem sets that follow each chapter, and they provide a reference source with which readers can develop their own computer programs. The subroutines are listed in the following table. They can be downloaded individually by selecting the appropriate subroutine name, or they can be downloaded en masse if preferred. Name Function contin Analytically continue a gridded potential field from one horizontal level to another cross Calculate vector products cylind Calculate the gravitational attraction of an infinitely extended cylinder dipole Calculate the magnetic induction of a dipole dircos Calculate direction cosines expand Add tapered rows and columns to a grid fac Calculate factorials facmag Calculate magnetic induction of one polygonal facet of a polyhedron fork Calculate the one-dimensional Fourier transform and its inverse fourn Calculate an n-dimensional Fourier transform and its inverse gbox Calculate the gravitational attraction of a right rectangular prism gfilt Calculate the earth filter (gravity case) for a horizontal layer glayer Calculate the gravitational attraction of a flat, horizontal layer

7. Potential Theory potential theory. see also potential theory http://www.treasure-troves.com/books/PotentialTheory.html

Potential Theory see also Potential Theory Axler, Sheldon; Bourdon, Paul; and Ramey, Wade. Harmonic Function Theory. New York: Springer-Verlag, 1992. $44.95. Blakely, Richard J. Potential Theory in Gravity and Magnetic Applications. Cambridge, England: Cambridge University Press, 1995. 441 p. $59.95. Duncan, William. The Theory of the Potential. New York: Dover, 1958. Potential Theory and its Applications to Basic Problems of Mathematical Physics. New York: Ungar, 1968. 338 p. Kellogg, Oliver Dimon. Foundations of Potential Theory. New York: Dover, 1953. $10 Sternberg, Wolfgang and Smith, Turner Linn. The Theory of Potential and Spherical Harmonics, 2nd ed. Toronto: University of Toronto Press, 1946. Tsuji, M. Potential Theory in Modern Function Theory. Tokyo: Maruzan, 1959. 590 p. $?. Wermer, John. Potential Theory, 2nd ed. Berlin: Springer-Verlag, 1981. 165 p. $?. http://www.ericweisstein.com/encyclopedias/books/books/PotentialTheory.html

8. Potential Theory potential theory. see also potential theory. New York SpringerVerlag, 1992. $44.95.Blakely, Richard J. potential theory in Gravity and Magnetic Applications. http://www.ericweisstein.com/encyclopedias/books/PotentialTheory.html

Potential Theory see also Potential Theory Axler, Sheldon; Bourdon, Paul; and Ramey, Wade. Harmonic Function Theory. New York: Springer-Verlag, 1992. $44.95. Blakely, Richard J. Potential Theory in Gravity and Magnetic Applications. Cambridge, England: Cambridge University Press, 1995. 441 p. $59.95. Duncan, William. The Theory of the Potential. New York: Dover, 1958. Potential Theory and its Applications to Basic Problems of Mathematical Physics. New York: Ungar, 1968. 338 p. Kellogg, Oliver Dimon. Foundations of Potential Theory. New York: Dover, 1953. $10 Sternberg, Wolfgang and Smith, Turner Linn. The Theory of Potential and Spherical Harmonics, 2nd ed. Toronto: University of Toronto Press, 1946. Tsuji, M. Potential Theory in Modern Function Theory. Tokyo: Maruzan, 1959. 590 p. $?. Wermer, John. Potential Theory, 2nd ed. Berlin: Springer-Verlag, 1981. 165 p. $?. http://www.ericweisstein.com/encyclopedias/books/books/PotentialTheory.html

9. Lecture Course, 1997/98 B76, potential theory The fundamental solution of the Laplace operator. Dirichlet problem in a ball. B76, potential theory. Problem sheet no.1 (dvi file) http://geometry.ma.ic.ac.uk/~grigor/lect99.htm

Back to the home page of A.Grigor'yan B76, Potential Theory Problem sheet no.1 (dvi file) Problem sheet no.2 (dvi file) ... (dvi file) Topics: The fundamental solution of the Laplace operator. Green's function. Dirichlet problem in a ball. Poisson formula. The local theory of harmonic functions: maximum principle, smoothness, mean value theorem, gradient estimates, Harnack's inequality, convergence theorems. Superharmonic and subharmonic functions. Comparison principle. The Dirichlet problem in arbitrary domains. Perron's solution. Existence and uniqueness of Perron's solution. Regularity of a boundary point. The ball condition and the cone conditions. Capacity and the equilibrium potential. Equivalence of different definitions of capacity. The Wiener criterion of the regularity of boundary points. Construction of the Brownian motion. The heat equation and the heat kernel. The heat semigroup. The Cauchy problem for the heat equation. Representation of bounded solutions of the Cauchy problem by using the Brownian motion. Kakutani's formula for solution to the Dirichlet problem.

10. Plastic-Potential Theory From The Granular Volcano Group A Review of PlasticFrictional Theory Part. 2 Plastic potential theory. Onthis page, you will find III. Plastic potential theory. http://www.granular-volcano-group.org/plastic_potential_theory.html

Your browser does not support script The ultimate website for understanding granular flows A Review of Plastic-Frictional Theory Part. 2 Plastic Potential Theory You will find the basic facts about Plastic-Frictional Theories (Part. 2) - no details -. Detail is a matter of my current Ph.D. research and I will not show that here. If you wanna know more just email me or feel free to ask in the Volcano Discussion Forum . This general overview should help you to understand the modeling results and their interpretations that will be presented in this Granular Volcano Group Web Site. I purposely erased all the bibliographical references and detailed equations to keep the text simple and easy to read. We have seen on the preceding sections: I. Introduction II. Stress space, Slip Planes, Mohr-Coulomb and von Mises stresses II.1. Mohr-Coulomb case: a 2D representation of stress (particular case) II.2. von Mises case: a 3D representation of stress (general case) On this page , you will find: III. Plastic Potential Theory And on the following pages, you will find the continuation of this frictional course: IV. Dilatation, consolidation, yield locus, and critical state

11. Potential Theory In Gravity And Magnetic Applications - Cambridge University Pre Serwis Katalog w Wirtualna Polska S.A. pierwszy portal w Polsce. wp.pl Katalog Katalog wiatowy DMOZ Science Math Analysis Complex Variable potential theory http://books.cambridge.org/0521575478.htm

Home Catalogue Related Areas: Physics New titles Email For updates on new titles in: Physics Potential Theory in Gravity and Magnetic Applications Richard J. Blakely Hardback In stock This text bridges the gap between the classic texts on potential theory and modern books on applied geophysics. It opens with an introduction to potential theory, emphasising those aspects particularly important to earth scientists, such as Laplace’s equation, Newtonian potential, magnetic and electrostatic fields, and conduction of heat. The theory is then applied to the interpretation of gravity and magnetic anomalies, drawing on examples from the modern geophysical literature. Topics explored include regional and global fields, forward modeling, inverse methods, depth-to-source estimation, ideal bodies, analytical continuation, and spectral analysis. The book includes numerous exercises and a variety of computer subroutines written in FORTRAN. Graduate students and researchers in geophysics will find this book essential. Sample chapter Download sample chapter Contents Introduction; 1. The potential; 2. Consequences of the potential; 3. Newtonian potential; 4. Magnetic potential;5. Magnetization; 6. Spherical harmonic analysis; 7. Regional Gravity Fields; 8. The Geomagnetic Field; 9. Forward method; 10. Inverse method; 11. Fourier-domain modeling; 12. Transformations; A. Review of vector calculus; B. Subroutines; C. Review of sampling theory; D. Conversion of units.

12. The Math Forum - Math Library - Potential Theory This page contains sites relating to potential theory. Browse and Searchthe Library Home Math Topics Analysis potential theory. http://mathforum.org/library/topics/potential_theory/

Browse and Search the Library Home Math Topics Analysis : Potential Theory Library Home Search Full Table of Contents Suggest a Link ... Library Help Selected Sites (see also All Sites in this category Potential Theory - Dave Rusin; The Mathematical Atlas A short article designed to provide an introduction to potential theory, the mathematical treatment of the potential-energy functions used in physics to study gravitation and electromagnetism. If some electrically charged particles are distributed in space, then a function U is defined on all of space (except right where the particles are) which measures the potential energy at each point. This function is harmonic, that is, it satisfies the Laplace equation... Classical problems include the determination of harmonic functions taking prescribed values at a point, on a sphere, and so on (the Dirichlet problem) - that is, determining the force field which results from a particular arrangement of force sources. History; applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus. more>> Search for these keywords: Click only once for faster results: all keywords, in any order

13. About "Potential Theory" potential theory. Library Home Full Table of Contents Suggest a Link Library Help Resource Types Articles. Math Topics potential theory. http://mathforum.org/library/view/7595.html

Potential Theory Library Home Full Table of Contents Suggest a Link Library Help Visit this site: http://www.math.niu.edu/~rusin/known-math/index/31-XX.html Author: Dave Rusin; The Mathematical Atlas Description: A short article designed to provide an introduction to potential theory, the mathematical treatment of the potential-energy functions used in physics to study gravitation and electromagnetism. If some electrically charged particles are distributed in space, then a function U is defined on all of space (except right where the particles are) which measures the potential energy at each point. This function is harmonic, that is, it satisfies the Laplace equation... Classical problems include the determination of harmonic functions taking prescribed values at a point, on a sphere, and so on (the Dirichlet problem) - that is, determining the force field which results from a particular arrangement of force sources. History; applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus. Levels: College Languages: English Resource Types: Articles Math Topics: Potential Theory Suggestion Box Home The Math Library ... Search http://mathforum.org/

14. KLUWER Academic Publishers | Potential Theory Classical and Modern potential theory and Applications K. GowriSankaran, J. Bliedtner,D. Feyel, M. Goldstein, WK Hayman, I. Netuka April 1994, ISBN 07923-2803 http://www.wkap.nl/home/topics/J/5/3/

Title Authors Affiliation ISBN ISSN advanced search search tips Home Browse by Subject ... Analysis Potential Theory Sort listing by: A-Z Z-A Publication Date Analytic Extension Formulas and their Applications Saburou Saitoh, Nakao Hayashi, Masahiro Yamamoto May 2001, ISBN 0-7923-6950-5, Hardbound Price: 110.00 EUR / 119.00 USD / 74.75 GBP Add to cart Approximation by Solutions of Partial Differential Equations B. Fuglede, M. Goldstein, W. Haussmann, W.K. Hayman, L. Rogge March 1992, ISBN 0-7923-1700-9, Hardbound Price: 146.50 EUR / 185.00 USD / 111.50 GBP Add to cart Bounded and Compact Integral Operators David E. Edmunds, Vakhtang Kokilashvili, Alexander Meskhi May 2002, ISBN 1-4020-0619-5, Hardbound Price: 199.00 EUR / 183.00 USD / 125.00 GBP Add to cart Classical and Modern Potential Theory and Applications K. GowriSankaran, J. Bliedtner, D. Feyel, M. Goldstein, W.K. Hayman, I. Netuka April 1994, ISBN 0-7923-2803-5, Hardbound Printing on Demand Price: 311.50 EUR / 394.00 USD / 237.25 GBP Add to cart Complex Potential Theory Paul M. Gauthier, Gert Sabidussi July 1994, ISBN 0-7923-3005-6, Hardbound

15. KLUWER Academic Publishers | Complex Potential Theory Books » Complex potential theory. Complex potential theory. Add to cart. Thefollowing topics are discussed Real and complex potential theory. http://www.wkap.nl/prod/b/0-7923-3005-6

Title Authors Affiliation ISBN ISSN advanced search search tips Books Complex Potential Theory Complex Potential Theory Add to cart edited by Paul M. Gauthier Technical Editor: Gert Sabidussi Book Series: NATO SCIENCE SERIES: C: Mathematical and Physical Sciences (continued within NATO SCIENCE SERIES II: Mathematics, Physics and Chemistry Volume 439 In Complex Potential Theory , specialists in several complex variables meet with specialists in potential theory to demonstrate the interface and interconnections between their two fields. The following topics are discussed: Real and complex potential theory. Capacity and approximation, basic properties of plurisubharmonic functions and methods to manipulate their singularities and study theory growth, Green functions, Chebyshev-like quadratures, electrostatic fields and potentials, propagation of smallness. Banach algebras and infinite dimensional holomorphy. Analytic multifunctions, spectral theory, analytic functions on a Banach space, semigroups of holomorphic isometries, Pick interpolation on uniform algebras and von Neumann inequalities for operators on a Hilbert space. Contents and Contributors Review(s) The proceedings are recommended for those who are interested in complex function theory, potential theory, interpolation and approximation theory and related domains.

16. Potential Theory Basic 2D potential theory. We outline here the way in which the known solutions used in panel methods can be generated and obtain http://www.desktopaero.com/appliedaero/potential/potentialtheory.html

Basic 2-D Potential Theory We outline here the way in which the "known" solutions used in panel methods can be generated and obtain some useful solutions to some fundamental fluid flow problems. Often the known solutions just come out of thin air and can be applied, but sometimes other approaches are possible. The simplest case, two-dimensional potential flow illustrates this process. We shall discuss 2-D incompressible potential flow and just mention the extension to linearized compressible flow. For this case the relevant equation is Laplace's equation: There are several ways of generating fundamental solutions to this linear, homogeneous, second order differential equation with constant coefficients. Two methods are particularly useful: Separation of variables and the use of complex variables. Complex variables are especially useful in solving Laplace's equation because of the following: We know, from the theory of complex variables, that in a region where a function of the complex variable z = x + iy is analytic, the derivative with respect to z is the same in any direction. This leads to the famous Cauchy-Riemann conditions for an analytic function in the complex plane. Consider the complex function: W = f + i y The Cauchy-Riemann conditions are: Differentiating the first equation with respect to x and the second with respect to y and adding gives: Thus, analytic function of a complex variable is a solution to Laplace's equation and may be used as part of a more general solution.

17. Potential Theory -- From MathWorld potential theory, The study of harmonic functions (also called potential functions). Kellogg,O. D. Foundations of potential theory. New York Dover, 1953. http://mathworld.wolfram.com/PotentialTheory.html

Calculus and Analysis Harmonic Analysis Harmonic Functions Potential Theory The study of harmonic functions (also called potential functions Harmonic Function Scalar Potential Vector Potential References Kellogg, O. D. Foundations of Potential Theory. New York: Dover, 1953. MacMillan, W. D. The Theory of the Potential. New York: Dover, 1958. Weisstein, E. W. "Books about Potential Theory." http://www.ericweisstein.com/encyclopedias/books/PotentialTheory.html Author: Eric W. Weisstein Wolfram Research, Inc.

18. Potential Theory Resources potential theory resources. Recommended References. see index for totalcategory for your convenience Best Retirement Spots Teacher http://futuresedge.org/mathematics/Potential_Theory.html

Potential Theory resources. Recommended References. [see index for total category] for your convenience: Best Retirement Spots Web Hosting ULTRAToolBox Resources on Diet and Nutrition Pain Relief Allergies Tech Refresh , and finally - a must check - Mediterranean diet Discovery. Potential Theory applications, theory, research, exams, history, handbooks and much more Introduction: An introduction to potential theory by Nicolaas Du Plessis Potential Theory: An Introduction by T. Barth Introduction to Potential Theory by Rudolf Sigl Introduction to Potential Theory by L. L. Helms Introduction to potential theory by L. L. Helms Applications: Inversion of potential field data : theory and application of gravimetry and magnetometry by Mahmoud Mirzaei Theory: Mozart's Brain and the Fighter Pilot: Unleashing Your Brain's Potential by Richard Restak What You Think Is What You Get: Realizing Your Creative Power and True Potential by George Lavenia Mathematical Papers by George Green Classical Potential Theory (Springer Monographs in Mathematics) by David H. Armitage Method of Difference Potentials and Its Applications (Springer Series in Computational Mathematics, 30)

19. From Potential Theory To Matrix Iterations In Six Steps - Driscoll, Toh, Trefeth From potential theory To Matrix Iterations In Six Steps (1998) (Make Corrections)(17 citations) Tobin A. Driscoll, KimChuan Toh, LLOYD N. TREFETHEN SIAM http://citeseer.nj.nec.com/driscoll98from.html

From Potential Theory To Matrix Iterations In Six Steps (1998) (Make Corrections) (17 citations) Tobin A. Driscoll, Kim-Chuan Toh, LLOYD N. TREFETHEN SIAM Review Home/Search Context Related View or download: colorado.edu/appm/facult sixsteps.pdf Cached: PS.gz PS PDF DjVu ... Help From: colorado.edu/appm/faculty/ta cv (more) Homepages: T.Driscoll HPSearch (Update Links) Rate this article: (best) Comment on this article (Enter summary) Abstract: . The theory of the convergence of Krylov subspace iterations for linear systems of equations (conjugate gradients, biconjugate gradients, GMRES, QMR, Bi-CGSTAB, and so on) is reviewed. For a computation of this kind, an estimated asymptotic convergence factor # # 1 can be derived by solving a problem of potential theory or conformal mapping. Six approximations are involved in relating the actual computation to this scalar estimate. These six approximations are discussed in a systematic way... (Update) Context of citations to this paper: More ...(see (2. 12) below) and obtain sharper error estimates using techniques from approximation theory, see for instance and the references therein.

20. From Potential Theory To Matrix Iterations In Six Steps - Driscoll, Toh, Trefeth From potential theory To Matrix Iterations In Six Steps (Make Corrections) (17 citations)Tobin A. Driscoll, KimChuan Toh, Lloyd N. Trefethen SIAM Review Home http://citeseer.nj.nec.com/143545.html

From Potential Theory To Matrix Iterations In Six Steps (Make Corrections) (17 citations) Tobin A. Driscoll, Kim-Chuan Toh, Lloyd N. Trefethen SIAM Review Home/Search Context Related View or download: cornell.edu/home/lnt/iterations.ps web.comlab.ox.ac.uk/ iterations.ps.gz Cached: PS.gz PS PDF DjVu ... Help From: nus.edu.sg/~mattohkc/publist (more) Homepages: T.Driscoll HPSearch (Update Links) Rate this article: (best) Comment on this article (Enter summary) Abstract: . The theory of the convergence of Krylov subspace iterations for linear systems of equations (conjugate gradients, biconjugate gradients, GMRES, QMR, Bi-CGSTAB, : : : ) is reviewed. For a computation of this kind, an estimated asymptotic convergence factor ae 1 can be derived by solving a problem of potential theory or conformal mapping. Six approximations are involved in relating the actual computation to this scalar estimate. These six approximations are discussed in a systematic way and... (Update) Context of citations to this paper: More ...(see (2. 12) below) and obtain sharper error estimates using techniques from approximation theory, see for instance

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