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Margaret H. Wright
Margaret H. Wright (born February 18, 1944) is an American computer scientist and mathematician. She is a Silver Professor of Computer Science and former Chair of the Computer Science department at Courant Institute of Mathematical Sciences, New York University, with research interests in optimization, linear algebra, and scientific computing. She was elected to the National Academy of Engineering in 1997 for development of numerical optimization algorithms and for leadership in the applied mathematics community. She was elected to the National Academy of Sciences in 2005. She was the first woman to serve as President of the Society for Industrial and Applied Mathematics. Early life and education Wright was born in San Francisco in 1944, and spent her early childhood in Hanford, California. Both of her parents were medical doctors. At age 10, her family moved to Tucson, Arizona, where she attended junior and high school. She graduated high school in 1960 at the age of 16. She ...
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Stanford University
Stanford University, officially Leland Stanford Junior University, is a private research university in Stanford, California. The campus occupies , among the largest in the United States, and enrolls over 17,000 students. Stanford is considered among the most prestigious universities in the world. Stanford was founded in 1885 by Leland and Jane Stanford in memory of their only child, Leland Stanford Jr., who had died of typhoid fever at age 15 the previous year. Leland Stanford was a U.S. senator and former governor of California who made his fortune as a railroad tycoon. The school admitted its first students on October 1, 1891, as a coeducational and non-denominational institution. Stanford University struggled financially after the death of Leland Stanford in 1893 and again after much of the campus was damaged by the 1906 San Francisco earthquake. Following World War II, provost of Stanford Frederick Terman inspired and supported faculty and graduates' entrepreneu ...
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New York University
New York University (NYU) is a private research university in New York City. Chartered in 1831 by the New York State Legislature, NYU was founded by a group of New Yorkers led by then-Secretary of the Treasury Albert Gallatin. In 1832, the non-denominational all-male institution began its first classes near City Hall based on a curriculum focused on a secular education. The university moved in 1833 and has maintained its main campus in Greenwich Village surrounding Washington Square Park. Since then, the university has added an engineering school in Brooklyn's MetroTech Center and graduate schools throughout Manhattan. NYU has become the largest private university in the United States by enrollment, with a total of 51,848 enrolled students, including 26,733 undergraduate students and 25,115 graduate students, in 2019. NYU also receives the most applications of any private institution in the United States and admission is considered highly selective. NYU is organized int ...
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Nelder–Mead Method
The Nelder–Mead method (also downhill simplex method, amoeba method, or polytope method) is a numerical method used to find the minimum or maximum of an objective function in a multidimensional space. It is a direct search method (based on function comparison) and is often applied to nonlinear optimization problems for which derivatives may not be known. However, the Nelder–Mead technique is a heuristic search method that can converge to non-stationary points * * (algorithm summary online). on problems that can be solved by alternative methods. * Yu, Wen Ci. 1979. "Positive basis and a class of direct search techniques". ''Scientia Sinica'' 'Zhongguo Kexue'' 53—68. * Yu, Wen Ci. 1979. "The convergent property of the simplex evolutionary technique". ''Scientia Sinica'' 'Zhongguo Kexue'' 69–77. * * The Nelder–Mead technique was proposed by John Nelder and Roger Mead in 1965, as a development of the method of Spendley et al. Overview The method uses the ...
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Bell Labs
Nokia Bell Labs, originally named Bell Telephone Laboratories (1925–1984), then AT&T Bell Laboratories (1984–1996) and Bell Labs Innovations (1996–2007), is an American industrial research and scientific development company owned by multinational company Nokia. With headquarters located in Murray Hill, New Jersey, the company operates several laboratories in the United States and around the world. Researchers working at Bell Laboratories are credited with the development of radio astronomy, the transistor, the laser, the photovoltaic cell, the charge-coupled device (CCD), information theory, the Unix operating system, and the programming languages B, C, C++, S, SNOBOL, AWK, AMPL, and others. Nine Nobel Prizes have been awarded for work completed at Bell Laboratories. Bell Labs had its origin in the complex corporate organization of the Bell System telephone conglomerate. In the late 19th century, the laboratory began as the Western Electric Engineering Department, l ...
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Mathematical Programming
Mathematical optimization (alternatively spelled ''optimisation'') or mathematical programming is the selection of a best element, with regard to some criterion, from some set of available alternatives. It is generally divided into two subfields: discrete optimization and continuous optimization. Optimization problems of sorts arise in all quantitative disciplines from computer science and engineering to operations research and economics, and the development of solution methods has been of interest in mathematics for centuries. In the more general approach, an optimization problem consists of maximizing or minimizing a real function by systematically choosing input values from within an allowed set and computing the value of the function. The generalization of optimization theory and techniques to other formulations constitutes a large area of applied mathematics. More generally, optimization includes finding "best available" values of some objective function given a define ...
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Karmarkar's Algorithm
Karmarkar's algorithm is an algorithm introduced by Narendra Karmarkar in 1984 for solving linear programming problems. It was the first reasonably efficient algorithm that solves these problems in polynomial time. The ellipsoid method is also polynomial time but proved to be inefficient in practice. Denoting n as the number of variables and L as the number of bits of input to the algorithm, Karmarkar's algorithm requires O(n^ L) operations on O(L) digit numbers, as compared to O(n^6 L) such operations for the ellipsoid algorithm. The runtime of Karmarkar's algorithm is thus :O(n^ L^2 \cdot \log L \cdot \log \log L) using FFT-based multiplication (see Big O notation). Karmarkar's algorithm falls within the class of interior point methods: the current guess for the solution does not follow the boundary of the feasible set as in the simplex method, but it moves through the interior of the feasible region, improving the approximation of the optimal solution by a definite fraction ...
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Michael Saunders (academic)
Michael Alan Saunders is an American numerical analyst and computer scientist. He is a research professor of Management Science and Engineering at Stanford University. Saunders is known for his contributions to numerical linear algebra and numerical optimization and has developed many widely used software packages, such as MINOS, NPSOL, and SNOPT. Saunders developed the MINRES method for the iterative solution of symmetric linear equation systems in 1975 together with Christopher Conway Paige. Education and career Saunders was born on in Christchurch, New Zealand. He received his B.Sc. in mathematics from University of Canterbury in 1965 and worked for two years as a scientific officer at the Department of Scientific and Industrial Research (DSIR) in New Zealand. He received his Ph.D. in Computer Science from Stanford University in 1972, under the supervision of Gene Golub. Saunders spent another two years at his old position with DSIR before joining the Systems Optimizati ...
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George Dantzig
George Bernard Dantzig (; November 8, 1914 – May 13, 2005) was an American mathematical scientist who made contributions to industrial engineering, operations research, computer science, economics, and statistics. Dantzig is known for his development of the simplex algorithm, an algorithm for solving linear programming problems, and for his other work with linear programming. In statistics, Dantzig solved two open problems in statistical theory, which he had mistaken for homework after arriving late to a lecture by Jerzy Neyman.Joe Holley (2005)"Obituaries of George Dantzig" In: ''Washington Post'', May 19, 2005; B06 At his death, Dantzig was the Professor Emeritus of Transportation Sciences and Professor of Operations Research and of Computer Science at Stanford University. Early life Born in Portland, Oregon, George Bernard Dantzig was named after George Bernard Shaw, the Irish writer.Richard W. Cottle, B. Curtis Eaves and Michael A. Saunders (2006)"Memorial Resolution: Ge ...
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Agnes Scott College
Agnes Scott College is a private women's liberal arts college in Decatur, Georgia. The college enrolls approximately 1,000 undergraduate and graduate students. The college is affiliated with the Presbyterian Church and is considered one of the Seven Sisters of the South. It also offers co-educational graduate programs. History The college was founded in 1889 as Decatur Female Seminary by Presbyterian minister Frank Henry Gaines. In 1890, the name was changed to Agnes Scott Institute to honor the mother of the college's primary benefactor, Col. George Washington Scott. The name was changed again to Agnes Scott College in 1906, and remains today a women's college. Agnes Scott is considered the first higher education institution in the state of Georgia to receive regional accreditation. The ninth and current president since July 2018 is Leocadia I. Zak, who previously worked as director of the U.S. Trade and Development Agency (USTDA). On July 27, 1994, the campus was listed ...
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National Physical Laboratory (United Kingdom)
The National Physical Laboratory (NPL) is the national measurement standards laboratory of the United Kingdom. It is one of the most extensive government laboratories in the UK and has a prestigious reputation for its role in setting and maintaining physical standards for British industry. Founded in 1900, it is one of the oldest metrology institutes in the world. Research and development work at NPL has contributed to the advancement of many disciplines of science, including the development early computers in the late 1940s and 1950s, construction of the first accurate atomic clock in 1955, and the invention and pioneering implementation of packet switching in the 1960s, which is today one of the fundamental technologies of the Internet. The former heads of NPL include many individuals who were pillars of the British scientific establishment. NPL is based at Bushy Park in Teddington, west London. It is under the management of the Department for Business, Energy and Industrial ...
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Tucson, Arizona
, "(at the) base of the black ill , nicknames = "The Old Pueblo", "Optics Valley", "America's biggest small town" , image_map = , mapsize = 260px , map_caption = Interactive map outlining Tucson , image_map1 = File:Pima County Incorporated and Unincorporated areas Tucson highlighted.svg , mapsize1 = 250px , map_caption1 = Location within Pima County , pushpin_label = Tucson , pushpin_map = USA Arizona#USA , pushpin_map_caption = Location within Arizona##Location within the United States , subdivision_type = Country , subdivision_type1 = State , subdivision_type2 = County , subdivision_name = United States , subdivision_name1 = Arizona , subdivision_name2 = Pima , established_title = Founded , established_date = August 20, 1775 , established_title1 = Incorporated , e ...
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Hanford, California
Hanford is a city and county seat of Kings County, California, located in the San Joaquin Valley region of the greater Central Valley (California), Central Valley. The population was 53,967 at the 2010 United States Census, 2010 census. History Today's Hanford was once north of Tulare Lake, historically the largest body of fresh water west of the Mississippi River. The area was inhabited by the Tachi Yokuts people, Yokuts Indians for several thousand years prior to Euro-American contact. They occupied locations along watercourses such as creeks, springs and seep areas (such as Slough (hydrology), sloughs), along perennial and seasonal drainages, as well as flat ridges and terraces. Since the annexation of California after the Mexican–American War, Mexican-American War, the locality was settled by Americans and immigrants as farmland, broadly referred to as "Mussel Slough". The earliest dated grave in the area was that of a young Alice Spangler who was initially buried in the ...
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