PlanetMath: Hermitian Matrix Any real symmetric matrix is Hermitian; the real symmetric matrices are a subset of the Hermitian matrices. An example of a Hermitian matrix is. http://planetmath.org/encyclopedia/HermitianMatrix.html
Extractions: Hermitian matrix (Definition) A complex matrix is said to be Hermitian or self-adjoint if where is the transpose , and is the complex conjugate Note that a Hermitian matrix must have real diagonal elements, as the complex conjugate of these elements must be equal to themselves. Any real symmetric matrix is Hermitian; the real symmetric matrices are a subset of the Hermitian matrices. An example of a Hermitian matrix is Hermitian matrices are named after Charles Hermite (1822-1901) [ ], who proved in 1855 that the eigenvalues of these matrices are always real [ H. Eves, Elementary Matrix Theory , Dover publications, 1980. The MacTutor History of Mathematics archive
NTL: A Library For Doing Number Theory A highperformance, portable C++ library providing data structures and algorithms for manipulating signed, arbitrary length integers, and for vectors, matrices, and polynomials over the integers and over finite fields. http://www.shoup.net/ntl/
Extractions: NTL is a high-performance, portable C++ library providing data structures and algorithms for manipulating signed, arbitrary length integers, and for vectors, matrices, and polynomials over the integers and over finite fields. [More detailed information about recent changes] Back to Victor Shoup's Home Page
Extractions: www.nws.noaa.gov Search field for weather information. Press Enter or select the go button to submit request Search by city and state. Press enter or select the go button to submit request Current Hazards Local National Outlooks Current Conditions Observations Radar Imagery Satellite Imagery Road reports ... River Levels Forecasts Local Forecasts Aviation Fire Weather Hydrology ... Numerical Models Climate Local Data Monsoon Info. Public Information Record Events ... Climate Prediction Weather Safety Storm Ready Lightning NOAA Radio Other Information Office staff Links NWS Mission General Contact Us Webmaster Back to forecast page printer friendly copy Point forecast matrices for Southeast Arizona issued by NWS WFO Tucson Webmaster
EigTool: A Graphical Tool For Nonsymmetric Eigenproblems free A GUI (Graphical User Interface) that integrates MATLAB's eigs routine (ARPACK) for finding a few eigenvalues of a large sparse matrix with the (now obsolete) Pseudospectra GUI for computing pseudospectra of matrices. http://web.comlab.ox.ac.uk/projects/pseudospectra/eigtool/
Extractions: EigTool is a GUI (Graphical User Interface) that integrates MATLAB's eigs routine ( ARPACK ) for finding a few eigenvalues of a large sparse matrix with the (now obsolete) Pseudospectra GUI for computing pseudospectra of matrices. Download EigTool (updated 20th December 2002) The following papers describe some of the algorithms used within EigTool: If you wish to cite EigTool, please use the URL http://www.comlab.ox.ac.uk/pseudospectra/eigtool/ . The author of the package is Thomas G. Wright , Oxford University. This software package is delivered "as is". The author makes no representation or warranties, express or implied, with respect to the software package. In no event shall the author be liable for loss of profits, loss of savings, or direct, indirect, special, consequential, or incidental damages.
Newmat Short Introduction For the manipulation of matrices in the C++ language, oriented towards science and engineering applications. http://www.robertnz.net/nm_intro.htm
Extractions: This C++ library is intended for scientists and engineers who need to manipulate a variety of types of matrices using standard matrix operations. Emphasis is on the kind of operations needed in statistical calculations such as least squares, linear equation solve and eigenvalues. It supports matrix types: Matrix (rectangular matrix); UpperTriangularMatrix; LowerTriangularMatrix; DiagonalMatrix; SymmetricMatrix; BandMatrix; UpperBandMatrix; LowerBandMatrix; SymmetricBandMatrix; IdentityMatrix; RowVector; ColumnVector. Only one element type (float or double) is supported. The library includes the operations , Kronecker product, Schur product, concatenation, inverse, transpose, conversion between types, submatrix, determinant, Cholesky decomposition, QR triangularisation, singular value decomposition, eigenvalues of a symmetric matrix, sorting, fast Fourier and trig. transforms, printing and an interface with Numerical Recipes in C It is intended for matrices in the range 10 x 10 to the maximum size your machine will accommodate in a single array. The package works for very small matrices but becomes rather inefficient.
GNU Octave: Matrix Manipulation 18.2 Rearranging matrices. Function File fliplr ( x ) Return a copy of x with the order of the columns reversed. For example,, 18.3 Special Utility matrices. http://www.octave.org/doc/octave_19.html
Extractions: Up Top Contents Index There are a number of functions available for checking to see if the elements of a matrix meet some condition, and for rearranging the elements of a matrix. For example, Octave can easily tell you if all the elements of a matrix are finite, or are less than some specified value. Octave can also rotate the elements, extract the upper- or lower-triangular parts, or sort the columns of a matrix. 18.1 Finding Elements and Checking Conditions 18.2 Rearranging Matrices 18.3 Special Utility Matrices 18.4 Famous Matrices ... Index The functions any and all are useful for determining whether any or all of the elements of a matrix satisfy some condition. The find function is also useful in determining which elements of a matrix meet a specified condition. Built-in Function: any x dim For a vector argument, return 1 if any element of the vector is nonzero. For a matrix argument, return a row vector of ones and zeros with each element indicating whether any of the elements of the corresponding column of the matrix are nonzero. For example, any (eye (2, 4)) => [ 1, 1, 0, ]
Principal.com - Underwriting / Product Matrices Login to your accounts and services Broker Guide Underwriting / Product matrices Broker PreApplication Join Our Wholesale Team. Return to top. Misc matrices. http://www.principal.com/partners/wholesale/matrices.htm
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CurvFit A curvefitting program; Power, Exponential, and Lorentzian series are available math models. Learn to 'read' eigenvalues of the Jacobian and Hessian matrices. http://webs.lanset.com/ecb/CurvFit.htm
Raven Standard Progressive Matrices Raven Standard Progressive matrices. Purpose Designed to measure a persons ability to form perceptual relations. Population Ages 6 to adult. http://www.cps.nova.edu/~cpphelp/RSPM.html
Extractions: Raven Standard Progressive Matrices Purpose: Designed to measure a persons ability to form perceptual relations. Population: Ages 6 to adult. Score: Percentile ranks. Time: (45) minutes. Author: J.C. Raven. Publisher: U.S. Distributor: The Psychological Corporation. Description: The Standard Progressive Matrices (SPM) was designed to measure a persons ability to form perceptual relations and to reason by analogy independent of language and formal schooling, and may be used with persons ranging in age from 6 years to adult. It is the first and most widely used of three instruments known as the Raven's Progressive Matrices, the other two being the Coloured Progressive Matrices (CPM) and the Advanced Progressive Matrices (APM). All three tests are measures of Spearman's g. Scoring: Reliability: Internal consistency studies using either the split-half method corrected for length or KR20 estimates result in values ranging from .60 to .98, with a median of .90. Test-retest correlations range from a low of .46 for an eleven-year interval to a high of .97 for a two-day interval. The median test-retest value is approximately .82. Coefficients close to this median value have been obtained with time intervals of a week to several weeks, with longer intervals associated with smaller values. Raven provided test-retest coefficients for several age groups: .88 (13 yrs. plus), .93 (under 30 yrs.), .88 (30-39 yrs.), .87 (40-49 yrs.), .83 (50 yrs. and over). Validity: Spearman considered the SPM to be the best measure of g. When evaluated by factor analytic methods which were used to define g initially, the SPM comes as close to measuring it as one might expect. The majority of studies which have factor analyzed the SPM along with other cognitive measures in Western cultures report loadings higher than .75 on a general factor. Concurrent validity coefficients between the SPM and the Stanford-Binet and Weschler scales range between .54 and .88, with the majority in the .70s and .80s.
FCCR A working paper on FCCR nxn matrices as local kinematical replacement for CCR, and representations by pxp matrices over Galois fields. http://graham.main.nc.us/~bhammel/FCCR/fccr.html
Extractions: A working paper on FCCR nxn matricies as local kinematical replacement for CCR, and construction of REPS of CCR by pxp matricies over Galois fields. Some remaining text of the chapters is still being translated to hypertext. An abstract and a brief summary of the essentials are available. The central object of interest here is a chain of algebras given in terms of nxn complex matricies that connect the quantum mechanical Canonical Commutation Relations (CCR) for n unbounded with the Canonical Anticommutation Relations (CAR) for n=2, which seem to provide a local, finite, discrete quantum theory. Finite dimensional representations of CCR by matricies over Galois fields are constructed in appendix J. The detail of mathematics, physics and philosophy presented here is far more than what would be usual in an any professional journal. I believe it to be sufficient that any mathematician/physicist should be able to reproduce and confirm (or correct!) every detail in the exposition.
PROGRAMS CONCERNING MATRICES IN C/C++ Header file called by program below; Basic routines for programs concerning matrices;PROGRAMS CONCERNING matrices IN C/C++. Program http://perso.wanadoo.fr/jean-pierre.moreau/c_matrices.html
Extractions: Header file called by program below Basic routines for programs concerning matrices Header file called by program below Solving a linear matrix system AX=B by Gauss-Jordan Method LU decomposition routines called by program below Solving a linear matrix system AX=B by LU decomposition Inversion of a real square matrix by LU decomposition Linear banded system using pivots Linear banded system without using pivots Solving a linear matrix system AX=B for a band matrix Header file called by program below Solving a symmetric linear system by Conjugate Gradient method Demonstration program of Conjugate Gradient method Conjugate Gradient method for a sparse symmetric linear system Solving a symmetric linear system by Gauss method Header file called by program below Cholesky method routines called by program below Solving a symmetric linear system by Cholesky method Inversion of a symmetric positive definite matrix by Cholesky method NEW Determinant of a real square matrix by Gauss method Determinant of a real square matrix by LU decomposition method Example data file for program below Determinant of a real square matrix by a recursive method based on Kramer's rule Characteristic polynomial of a real square tridiagonal matrix Header file of module below Module concerning complex numbers used by program below Characteristic polynomial of a complex square matrix
CenterSpace Software .NET Numerics - Home .NET numerical analysis. NMath products contain C interfaces to BLAS and LAPACK, random number generators, anova, regression, probability distributions, sparse matrices, hypothesis tests and descriptive statistics. Evaluation versions available. http://www.centerspace.net
Extractions: The NMath product suite from CenterSpace Software provides building blocks for mathematical, financial, engineering, and scientific applications on the .NET platform. Features include matrix and vector classes, random number generators, numerical integration methods, statistical functions, multiple linear regression, analysis of variance (ANOVA), and object-oriented interfaces to public domain computing packages such as the BLAS (Basic Linear Algebra Subprograms) and LAPACK (Linear Algebra PACKage). CenterSpace component libraries offer you: Excellent Value
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Martys Math Help, Martys Math Help Offers email assistance with algebra, calculus, matrices, statistics trigonometry and investments. Includes question form and credentials. http://www.martysmath.com/
Random Matrices And The Riemann Zeta Function random matrices and the Riemann zeta function. The GUE consists of all Hermitian N x N matrices, but they are weighted according to the probability density P. http://www.maths.ex.ac.uk/~mwatkins/zeta/random.htm
Extractions: Conference: "Recent Perspectives in Random Matrix Theory and Number Theory" , Isaac Newton Institute of Mathematical Sciences, Cambridge, UK, 29 March - 8 April 2004 "The connection between random matrix theory and the zeros of the Riemann zeta function was first suggested by Montgomery and Dyson in 1973, and later used in the 1980's to elucidate periodic orbit calculations in the field of quantum chaos. Just in the past few years it has also been employed to suggest brand new ways for predicting the behaviour of the Riemann zeta function and other L -functions. Notwithstanding these successes there has always been the problem that very few researchers are well-versed both in number theory and methods in mathematical physics. The aim of this school is to provide a grounding in both the relevant aspects of number theory, and the techniques of random matrix theory, as well as to inform the students of what progress has been made when these two apparently disparate subjects meet. " This is linked with the Isaac Newton Institute programme: "Random Matrix Approaches in Number Theory" , 26 January - 16 July 2004 "For thirty years there have been conjectured connections, supported by ever mounting evidence, between the zeros of the Riemann zeta function and eigenvalues of random matrices. One of the most famous unsolved problems in mathematics is the Riemann hypothesis, which states that all the non-trivial zeros of the zeta function lie on a vertical line in the complex plane, called the critical line. The connection with random matrix theory is that it is believed that high up on this critical line the local correlations of the zeros of the Riemann zeta function, as well as other
EMSchool'2001 Summer school surveying recent progress in the asymptotic theory of Young tableaux and random matrices from the point of view of combinatorics, representation theory, and the theory of integrable systems. Saint Petersburg, Russia; July 922, 2001. http://www.pdmi.ras.ru/EIMI/2001/emschool/index.html
Extractions: European Mathematical Society (EMS) Short description: The summer school aims to observe the recent progress in the asymptotic theory of Young tableaux and random matrices from the point of view of combinatorics, representation theory and theory of integrable systems. The systematic courses on the subjects and current investigations will be presented. V.Kazakov (Paris, ENS) A.Lodkin (St.Petersburg)
Untitled Document Empresa valenciana dedicada a la fabricaci³n de matrices (corte,doblado y embutici³n) de metales en frio y a la producci³n de piezas en prensas. http://www.codsc.com/maype/
Workshop On Free Probability And Random Matrices Workshop on Free Probability and Random matrices. Title On asymptotic expansions for polynomials of Gaussian random matrices Click here for abstract. http://www.math.uwaterloo.ca/~anica/workshop01.html