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Topic: Cornelius Lanczos


In the News (Thu 16 Feb 12)

  
  Cornelius Lanczos
Cornelius Lanczos (Lánczos Kornél), born Kornél Löwy (February 2, 1893–June 25, 1974), was a Hungarian mathematician and physicist.
Lanczos served as assistant to Albert Einstein during the period 1928–29.
In 1962, Lanczos showed that the Weyl tensor, which plays a fundamental role in general relativity, can be obtained from a tensor potential which is now called the Lanczos potential.
www.algebra.com /algebra/about/history/Cornelius-Lanczos.wikipedia   (343 words)

  
 Lanczos biography
Cornelius Lanczos was born Kornél Löwy but when there was a reaction in Hungary against German names he, along with large numbers of his countrymen, changed his name from the German form and became Kornél Lánczos (or rather, Lánczos Kornél since Hungarians put the family name first).
Lanczos continued to work on his first love of relativity and corresponded with Einstein both on a scientific level and as a friend.
Lanczos was therefore delighted to receive an offer from Schrödinger to head the Theoretical Physics Department at the Dublin Institute for Advance Study in Ireland.
www-groups.dcs.st-and.ac.uk /~history/Biographies/Lanczos.html   (901 words)

  
  Cornelius Lanczos - Wikipedia, the free encyclopedia
Cornelius Lanczos (Lánczos Kornél), born Kornél Löwy (February 2, 1893–June 25, 1974), was a Hungarian mathematician and physicist.
Lanczos served as assistant to Albert Einstein during the period 1928-29.
In 1962, Lanczos showed that the Weyl tensor, which plays a fundamental role in general relativity, can be obtained from a tensor potential which is now called the Lanczos potential.
en.wikipedia.org /wiki/Cornelius_Lanczos   (393 words)

  
 077-080
Lanczos, a physicist and applied mathematician, had already been very successful at devising algorithms for analyzing a variety of mathematical models, and he was well acquainted with the challenges of computation on desk calculators.
Lanczos, too, discussed the solution of linear systems using the recurrence of his minimized iterations [4], and recognized that it was mathematically equivalent to the method of conjugate gradients [5], another noteworthy NBS discovery discussed elsewhere in this volume.
Lanczos, too, came under investigation for allegedly being a communist sympathizer, and this may have contributed to his decision to begin a third exile, in 1952, and then permanently in 1954, to the Dublin Institute for Advanced Studies.
nvl.nist.gov /pub/nistpubs/sp958-lide/html/077-080.html   (1951 words)

  
 Lanczos Collection
Cornelius Lanczos (1893-1974) was a physicist and mathematician who had a profound impact on the foundations of twentieth century science.
The Cornelius Lanczos Collected Published Papers with Commentaries represents the second phase of a two-part celebration of the life and work of Cornelius Lanczos (1893-1974), a physicist and mathematician who had a profound impact on the foundations of twentieth-century science.
Cornelius Lanczos visited NCSU several times during the period 1962-1968, holding two Visiting Professorships, and remained in correspondence until his death in 1974 with NCSU faculty members, particularly Professor William R. Davis, the General Editor of the Collection.
www.physics.ncsu.edu /lanczos   (2973 words)

  
 Cornelius Lanczos Information
Lanczos' PhD thesis (1921) was on relativity theory.
Historically Lanczos belongs to that generation of Hungarian scientists born in 1900 (plus or minus 10 years) who achieved their success and fame abroad.
Cornelius Lanczos at the MacTutor History of Mathematics archive.
www.bookrags.com /Cornelius_Lanczos   (363 words)

  
 References for Lanczos
Cornelius Lánczos-a biographical note, in Studies in numerical analysis (papers in honour of Cornelius Lánczos on the occasion of his 80th birthday) (London, 1974), ix-xi.
B Gellai,Cornelius Lanczos: a biographical essay, in Proceedings of the Cornelius Lanczos International Centenary Conference (Philadelphia, PA, 1994), xxi-xlviii.
P D Lax, Cornelius Lanczos (1893-1974), and the Hungarian phenomenon in science and mathematics, in Proceedings of the Cornelius Lanczos International Centenary Conference (Philadelphia, PA, 1994), xlix-lii.
www.gap-system.org /%7Ehistory/Printref/Lanczos.html   (320 words)

  
 Collected Papers of Cornelius Lanczos   (Site not responding. Last check: 2007-10-17)
Cornelius Lanczos (1893-1974) was one of the twentieth century's most versatile and innovative physicists and mathematicians.
The Cornelius Lanczos Collected Published Papers with Commentaries (CLCPPC) represents the second part of a two-part celebration of the life and work of Cornelius Lanczos.
Printing and binding of the 500 sets of the Lanczos Collection will be completed by the end of January, 1999 and will be surface shipped from Budapest to Raleigh NC in early February.
www.csc.fi /math_topics/Mail/NANET99-1/msg00007.html   (914 words)

  
 Cornelius Lanczos
Der Artikel Cornelius Lanczos gehört zur Kategorie: Geboren 1893, Gestorben 1974, Numeriker (20.
Cornelius Lanczos ([]; auch Kornél Löwy, Kornél Lánczos), (* 2.
Lanczos brachte in den Jahren 1950 und 1952 zwei Artikel über ein von ihm Verfahren der minimierten Iterierten genanntes Verfahren zur Lösung von Fredholmschen Integralgleichungen, linearen Gleichungssystemen und Eigenwertaufgaben heraus.
www.weblexikon.de /Cornelius_Lanczos.html   (122 words)

  
 NCSU Physics -- William R. Davis   (Site not responding. Last check: 2007-10-17)
Two new lines of research are underway which are connected with some of the commentaries that are associated with the Lanczos volume of collected papers with commentaries.
Davis, William R., "Introduction: The Early Publications of Cornelius Lanczos on General Relativity in the Period 1922-1934," vol.
Davis, William R., "Introduction: Publications of Cornelius Lanczos in the Period 1935-1955," vol.
www.physics.ncsu.edu:8380 /people/davis.html   (306 words)

  
 Linear Differential Operators   (Site not responding. Last check: 2007-10-17)
This scholarly volume describes Lanczos' life (1893-1974) and presents a clear development of the many fields he opened.
Because of Lanczos' unique style of describing mathematical facts in nonmathematical language, Linear Differential Operators also will be helpful to nonmathematicians interested in applying the methods and techniques described.
Lanczos begins with three introductory chapters that explore some of the technical tools needed later in the book, and then goes on to discuss interpolation, harmonic analysis, matrix calculus, the concept of the function space, boundary value problems, and the numerical solution of trajectory problems, among other things.
mirror.math.nankai.edu.cn /mirror/www.siam.org/catalog/mcc03/lanczos.htm   (426 words)

  
 [No title]
This may correspond to applications where one is interested in the smallest eigenvalue(s) of a selfadjoint elliptic differential operator L of order s, in which case one would choose K to be the inverse of L on its range.
For this example the precise asymptotic behaviour of the approximation error after k Lanczos steps is determined by using the connection between the Lanczos iteration and orthogonal polynomials.
After these preliminaries the strong asymptotic behavior of the error of the Lanczos approximation to the smallest eigenvalue of L can be determined.
www.ubka.uni-karlsruhe.de /vvv/1997/mathematik/10/10.text   (3413 words)

  
 Spartanburg SC | GoUpstate.com | Spartanburg Herald-Journal
In mathematics, the Lanczos approximation is a method for computing the Gamma function numerically, published by Cornelius Lanczos in 1964.
The Lanczos approximation was popularized by Numerical Recipes, according to which computing the Gamma function becomes "not much more difficult than other built-in functions that we take for granted, such as sin x or e
Lanczos derived the formula from Leonhard Euler's integral
www.goupstate.com /apps/pbcs.dll/section?category=NEWS&template=wiki&text=Lanczos_approximation   (371 words)

  
 NBS-Developed Method Named `Algorithm of the Century'
The algorithm, actually a class of methods, known today as Krylov subspace iteration, saw its genesis in work done by Magnus Hestenes, Eduard Stiefel, and Cornelius Lanczos of the Institute for Numerical Analysis operated by NBS at UCLA in the late 1940s and early 1950s.
Hestenes and Lanczos were NBS staff members, while Stiefel was a visitor from the ETH in Zurich.
Early Krylov methods were proposed by Lanczos and then by Hestenes and Stiefel, who called their technique the conjugate gradient method.
math.nist.gov /mcsd/highlights/krylov.html   (395 words)

  
 Applied Analysis
Comment: Lanczos' work is a fine, thorough text that covers most areas of advanced analysis in a readable style.
Consequently, the book is not "one-shop stopping" for all the mathematical techniques that an electrical engineer or physicist might require in his bag of tricks....
He knew it all, and was one of the inventors of the fast Fourier transform.
www.8notes.com /books/detpage.asp?asin=048665656X&field-keywords=Couperin&schMod=music&type=&sb=s   (236 words)

  
 Science Physics History People
Contributions of 20th Century Women to Physics - Electronic archive containing over 75 brief scientific and biographic citations of original and important contributions 20th century women have made to physics.
Cornelius Lanczos Collection - Site announces the availability of the Cornelius Lanczos Collected Published Papers with commentaries.
Lanczos (18931974) was one of the twentieth century's most versatile and innovative physicists and mathematicians.
www.apartment1a.com /Resources/Science/Physics/History/People   (386 words)

  
 The Variational Principles of Mechanics (Dover Books on Physics and Chemistry)
At the end, Lanczos dives a little into GR using the Schwartzchild metric to derive orbits, bending of light rays and gravitational redshift around spherical body.
After reading Lanczos you will know it has do with "space" and what is a proper physical law.
Lanczos is more literate and much more humble.
www.8notes.com /books/detpage.asp?asin=0486650677&field-keywords=Couperin&schMod=music&type=&sb=s   (1230 words)

  
 Lanczos   (Site not responding. Last check: 2007-10-17)
Lanczos continued to work on his first love of relativity and corresponded with
Lanczos was therefore delighted to receive an offer from
Schrödinger to head the Theoretical Physics Department at the Dublin Institute for Advance Study in Ireland.
www.educ.fc.ul.pt /icm/icm2003/icm14/Lanczos.htm   (750 words)

  
 Cornelius Lanczos
LANCZOS wußte aber, daß die Schrödingersche Methode der seinen mathematisch völlig gleichwerti war und daß alle seine Beziehungen leicht in Differentialgleichungen umgeschrieben werden konnten.
15 Allerdings verleugnete Lanczos auch später nicht seine Einsichten aus der Beschäftigung mit der feldmäßigen Darstellung der Quantenmechanik; siehe z B in seiner Arbeit "Die Erhaltungssätze in der feldmäßigen Darstellung der Diracschen Theorie", Zeitschrift für Physik 57, 484, 1929, die er mit der Bemerkung schloß (Seite 493).
16 Lanczos, Zur Intensitätsanomalie der Starkeffekt Linien in sehr starken Feldern, Naturwissenschaften 18, 329, 1930.
www.physik.uni-frankfurt.de /paf/paf102.html   (3282 words)

  
 AMERICAN MATHEMATICAL MONTHLY - APRIL 1998
We examine a curious approximate differentiation rule of Cornelius Lanczos.
Lanczos' rule is shown to be a generalized derivative with convergence properties that are reminiscent of the convergence of Fourier partial sums.
The effect of data errors on the rule is examined both numerically and analytically and a best possible order of approximation is established.
www.maa.org /pubs/monthly_apr98_toc.html   (639 words)

  
 More on inertia?   (Site not responding. Last check: 2007-10-17)
However, it is noted by Lanczos that "it is exactly this apparent triviality which makes d'Alembert's principle such an ingenious invention and at the same time so open to distortion and misunderstanding.".
One of these consequences, related to gait analysis, is to allow the use of "kinematical variables", that is, velocities that are not the derivatives of actual position coordinates.
The example cited by Lanczos is the spin of a top about its axis of symmetry, however one could extend this to think of the angular velocities of Euler angles.
isb.ri.ccf.org /biomch-l/archives/biomch-l-2000-12/00065.html   (365 words)

  
 Encyclopedia: List of Hungarians
Cornelius Lanczos (1893 - 1974), mathematician and physicist*
Jump to: navigation, search 1998(MCMXCVIII) is a common year starting on Thursday of the Gregorian calendar, and was designated the International Year of the Ocean.
Cornelius Lanczos, born Kornél Löwy (February 2, 1893–June 25, 1974), was a Hungarian mathematician and physicist.
www.nationmaster.com /encyclopedia/List-of-Hungarians   (9348 words)

  
 Linear Differential Operators
At this time we have not yet written a review for Linear Differential Operators by Cornelius Lanczos (ISBN-10: 0486680355, ISBN-13: 9780486680354).
It is the case of Lanczos and Dirac.
Lanczos is a pleasure to read -- his writing is clear, elegant, and entertainingly opinionated.
www.cheapesttextbooks.com /review-Linear-Differential-Operators-Cornelius-Lanczos-0486680355.html   (346 words)

  
 Science Central - Cornelius Lanczos Collection
Site announces the availability of the Cornelius Lanczos Collected Published Papers with commentaries.
Lanczos (1893-1974) was one of the twentieth century's most versatile and innovative physicists and mathematicians.
His papers cover an array of disciplines including general relativity, quantum mechanics, scientific computation, applied mathematics and numerical analysis.
www.sciencecentral.com /site/489788   (232 words)

  
 [No title]
This scholarly volume describes Lanczos' life (1893-1974) and presents a clear development of the many fields he opened.
Because of Lanczos' unique style of describing mathematical facts in nonmathematical language, Linear Differential Operators also will be helpful to nonmathematicians interested in applying the methods and techniques described.
Lanczos begins with three introductory chapters that explore some of the technical tools needed later in the book, and then goes on to discuss interpolation, harmonic analysis, matrix calculus, the concept of the function space, boundary value problems, and the numerical solution of trajectory problems, among other things.
www.ec-securehost.com /SIAM/CL18.html   (444 words)

  
 Geometry.Net - Scientists Books: Lanczos Cornelius
Lanczos' book is a compelling analysis of the principles of Lagrangian and Hamiltonian mechanics.
In an elegant and flowing style, Lanczos guides the reader through a walking tour of the principles of mechanics, peppered with historical footnotes.
If you understand how to use mechanics, but want to understand how the underlying principles are developed, this is an excellent choice.
www.geometry.net /scientists_bk/lanczos_cornelius.html   (637 words)

  
 Katalog Dmoz - Open Directory > Science > Physics > History > People
Contributions of 20th Century Women to Physics - Electronic archive containing over 75 brief scientific and biographic citations of original and important contributions 20th century women have made to physics..
Cornelius Lanczos Collection - Site announces the availability of the Cornelius Lanczos Collected Published Papers with commentaries.
His papers cover an array of disciplines including general relativity, quantum mechanics, scientific computation, applied mathematics and numerical analysis..
www.link-vault.pl /dmoz/Top/Science/Physics/History/People   (525 words)

  
 Mathematics Magazine: December 2005
The Lanczos derivative is attributed to Cornelius Lanczos and is an integral-based, proper extension of the usual derivative.
We show how this derivative may be expressed in probability terms using the uniform random variable.
We also show how the Lanczos derivative and its higher-order analogs may be viewed as limits of integrals involving Legendre polynomials.
www.maa.org /pubs/mag_dec05_toc.html   (726 words)

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