1. Linear Algebra For Statistics Java Package For the linear algebra classes, this subdirectory will have to be called linear_algebra. Console.class will have to be placed in a subdirectory called http://www1.fpl.fs.fed.us/linear_algebra.html

FPL Statistics Group Linear Algebra for Statistics Java Package This package contains unofficial Java versions of many of the BLAS (Basic Linear Algebra Subroutines), and the LINPACK Cholesky decomposition (dpofa, dposl, and dpodi), QR decomposition (dqrdc and dqrsl), singular value decomposition (dsvdc), and LU decomposition (dgefa, dgesl, and dgedi) routines. The nonprofit Society for Industrial and Applied Mathematics (SIAM) sells copies of the LINPACK Users' Guide Other sources of Java linear algebra software: New as of 8/7/98: Numerical analysts at MathWorks and NIST have combined to produce a public domain Java linear algebra package called JAMA . (MathWorks maintains links to a variety of Java-based tools for science and engineering at http://www.mathtools.net/Java/index.html New as of 2/24/99: G.W. Stewart has produced a public domain Java linear algebra package called Jampack New as of 7/21/99: A US Government NIST (National Institute of Standards and Technology) site links to a wide variety of numerical Java resources. New as of 7/21/99: Links to proprietary Java linear algebra packages Warning!!! - Cholesky Decomposition - Warning!!!

2. Linear Algebra - Wikipedia, The Free Encyclopedia Retrieved from http//en.wikipedia.org/wiki/linear_algebra . Categories Linear algebra. Views. Article Discussion Edit this page History http://en.wikipedia.org/wiki/Linear_algebra

Linear algebra From Wikipedia, the free encyclopedia Jump to: navigation search Linear algebra is the branch of mathematics concerned with the study of vectors vector spaces (also called linear spaces linear maps (also called linear transformations ), and systems of linear equations . Vector spaces are a central theme in modern mathematics ; thus, linear algebra is widely used in both abstract algebra and functional analysis . Linear algebra also has a concrete representation in analytic geometry and it is generalized in operator theory . It has extensive applications in the natural sciences and the social sciences , since nonlinear models can often be approximated by linear ones. Contents History Elementary introduction Some useful theorems Generalisations and related topics ... edit History The history of modern linear algebra dates back to the early 1840's. In 1843, William Rowan Hamilton introduced quaternions , which describe mechanics in three-dimensional space. In 1844, Hermann Grassmann published his book Die lineale Ausdehnungslehre (see References).

3. Linear Algebra linear algebra program to perform computations with matrices, solution of linear systems, matrix operations, inverse, eigenvalues, eigenvectors, http://www.numericalmathematics.com/linear_algebra.htm

HOME Math Software Register Your Software Numerical Methods ... Thinkers Only Software Linear Algebra Functions Ordinary Differential Equations Systems of Nonlinear Equations ... Support Software Numerical Methods: Integration and Differentiation Solution of Equations Maxima and Minima Approximation of Functions ... Decimal Comma/Decimal Point Enter your search terms Submit search form Web www.numericalmathematics.com LINEAR ALGEBRA performs computations associated with real matrices, including solution of linear systems of equations (even least squares solution of over-determined or inconsistent systems and solution by LU factors), matrix operations (add, subtract, multiply), finding the determinant, trace, inverse, adjoint, QR and LU factors, eigenvalues and eigenvectors, establish the definiteness of a symmetric matrix, perform scalar multiplication, transposition, shift, create matrices of zeroes or ones, identity, symmetric or general matrices. Upon registering, you will receive by email a liberation key which will remove the registration reminder and the time limitation. You will be entitled to one year of free updates. Click here to download LINEAR ALGEBRA Requirements: Windows 98 or later AWARDS Click here to download LINEAR ALGEBRA Requirements: Windows 98 or later LINEAR ALGEBRA performs the following tasks: Add – Finds the sum of two matrices.

4. Linear Algebra/Linear Transformations - Wikibooks, Collection Of Open-content Te Retrieved from http//en.wikibooks.org/wiki/linear_algebra/Linear_Transformations . Subject Algebra textbook pages http://en.wikibooks.org/wiki/Linear_Algebra/Linear_Transformations

Linear Algebra/Linear Transformations From Wikibooks, the open-content textbooks collection Linear Algebra Jump to: navigation search A linear transformation is an important concept in mathematics because many real world phenomena can be approximated by linear models. Unlike a linear function, a linear transformation works on vectors as well as numbers. Contents Motivations and definitions Definitions Linear Operators Linear Forms ... edit Motivations and definitions Say we have the vector in , and we rotate it through 90 degrees, to obtain the vector Another example instead of rotating a vector, we stretch it, so a vector becomes , for example. becomes Or, if we look at the projection of one vector onto the x axis - extracting its x component - , e.g. from we get These examples are all an example of a mapping between two vectors, and are all linear transformations. If the rule transforming the matrix is called T , we often write for the mapping of the vector by the rule T T is often called the transformation. Note we do not always write brackets like when we write functions. However we should write brackets, especially when we want to express the mapping of the sum or the product or the combination of many vectors.

5. Open Dictionary: Top/Mathematics/Linear_Algebra Terms. Modify Term Basis Vector hits=1 votes=1 rating=5.0 Basis from MathWorld Modify Term Cholesky Decomposition hits=1 votes=1 rating=5.0 http://quasor.lunarpages.com/~w3k0002/pages/Top/Mathematics/Linear_Algebra/index

Home Help Login Logout ... Random Open Dictionary Dedicated to the pursuit of knowledge Advanced Top Mathematics Linear Algebra Terms Basis Vector [hits=1 votes=1 rating=5.0] : Basis from MathWorld Cholesky Decomposition [hits=1 votes=1 rating=5.0] : Cholesky Decomposition from MathWorld Cramer Rule [hits=1 votes=1 rating=5.0] : Cramer's Rule from MathWorld Determinant [hits=1 votes=1 rating=5.0] : Determinant from MathWorld Eigenvalue [hits=1 votes=1 rating=5.0] : Eigenvalue from MathWorld Eigenvector [hits=1 votes=1 rating=5.0] : Eigenvector from MathWorld Expansion by Minors [hits=1 votes=1 rating=5.0] : Determinant Expansion by Minors from MathWorld Hadamard Matrix [hits=1 votes=1 rating=5.0] : Hadamard Matrix from MathWorld Householder Reflection (2 competing definitions) Jordan Block [hits=1 votes=1 rating=5.0] : Jordan Block from MathWorld Jordan Canonical Form [hits=1 votes=1 rating=5.0] : Jordan Canonical Form from MathWorld LU Decomposition [hits=1 votes=1 rating=5.0] : LU Decomposition from MathWorld Linear Algebra (2 competing definitions) Linear Operator [hits=1 votes=1 rating=5.0]

6. Class Jnt.linear_algebra.CoordinateSparseMatrixDouble Class jnt.linear_algebra.CoordinateSparseMatrixDouble. java.lang.Object +jnt.linear_algebra.CoordinateSparseMatrixDouble http://math.nist.gov/jnt/api/jnt.linear_algebra.CoordinateSparseMatrixDouble.htm

All Packages Class Hierarchy This Package Previous ... Index Class jnt.linear_algebra.CoordinateSparseMatrixDouble public class CoordinateSparseMatrixDouble extends Object A coordinate-storage representation of sparse matrices in which the nonzeros at location A[i][j] are stored explicity. No order is imposed on the storage order. and basic algebraic operations. The nonzero value, together with its offset are stored. Thus, the 5-element matrix could be represented by the following contstructor: double val[] = new double[3]; int row[] = new int[3]; int col[] = new int[3]; val[0] = 1.0; col[0] = 0; row[0] = 1; val[1] = 4.0; col[1] = 1; row[1] = 0; val[2] = 2.0; col[2] = 1; row[2] = 1; val[3] = 7.0; col[3] = 2; row[3] = 2; CoordinateSparseMatrixDouble S = new CoordinateSparseMatrixDouble(3, 3, 4, val, row, col); or, equivalently CoordinateSparseMatrixDouble S = new CoordinateSparseMatrixDouble(3, 3, 4); for (int i=0; i <3; i++) S.set_ith_element(i, row[i], col[i], val[i]); General set/get functions which treat the matrix as dense, are available but are not very efficient (i.e. they have an O(nz) cost). S.set(i,j, val); // equivalent to A[i][j] = val; v = S.get(i,j); // equivalent to v = A[i][j];

7. Python: Module Numpy.oldnumeric.linear_algebra numpy.oldnumeric.linear_algebra, index /usr/lib/python2. 4/sitepackages/numpy/oldnumeric/linear_algebra.py. Backward compatible with LinearAlgebra from http://dsnra.jpl.nasa.gov/software/Python/python-modules/numpy.oldnumeric.linear

numpy oldnumeric index /usr/lib/python2.4/site-packages/numpy/oldnumeric/linear_algebra.py Backward compatible with LinearAlgebra from Numeric Modules numpy.linalg Classes exceptions.Exception numpy.linalg.linalg.LinAlgError class LinAlgError exceptions.Exception # Error object Methods inherited from exceptions.Exception getitem init str Functions Heigenvalues (a, UPLO ='L' Heigenvectors (A) (a) determinant (a) eigenvalues (a) eigenvectors (A) (a, rcond inverse (a) (a, b, rcond returns x,resids,rank,s resids is the sum square residuals rank is the rank of A s is the rank of the singular values of A in descending order If b is a matrix then x is also a matrix with corresponding columns. If the rank of A is less than the number of columns of A or greater than the number of rows, then residuals will be returned as an empty array otherwise resids = sum((b-dot(A,x)**2). Singular values less than s[0]*rcond are treated as zero. (A, full_matrices (a, b) Data all = ['LinAlgError', 'solve_linear_equations', 'inverse', 'cholesky_decomposition', 'eigenvalues', 'Heigenvalues', 'generalized_inverse', 'determinant', 'singular_value_decomposition', 'eigenvectors', 'Heigenvectors', 'linear_least_squares']

8. Numarray.linear_algebra.eigenvectors Bug ? - Python numarray.linear_algebra.eigenvectors bug ?. Get answers to your questions in our Python forum. http://www.thescripts.com/forum/thread22909.html

window.onload = navMenuExp; Hello, Sign in or Create an account Help Site Map Advertise document.write(''); Discussions Introductions Cafe / Lounge Programming Challenges / IT Case Studies ... Forums Programming forums for software developers and programmers: Languages C / C++ Java .NET Visual Basic ... Python Web Development PHP Ruby / Rails Perl ASP ... HTML / CSS Database MySQL Oracle SQL Server PostgreSQL ... Access System Administration Apache IIS Networking Linux / Unix / BSD ... Windows More Software Development Mobile Development Misc Questions Howtos ... Python numarray.linear_algebra.eigenvectors bug ? Eugene Druker Guest n/a Posts July 18th, 2005 02:45 AM numarray.linear_algebra.eigenvectors bug ? Hi all, I need eigen values and vectors for symmetric matrices (like VCV). Solving with numarray and testing the results, I've got strange results - input and output matrices of some sizes are very different. That's an example of differencies: Size MaxDif(E.Val) MaxDif(E.Vect) This is for numarray 0.7 on W2K. I hoped to have all the differencies below 1e-15 or so.

9. Linear_algebra linear_algebra. http://vergil.chemistry.gatech.edu/notes/linear_algebra/

Next: Vectors Notes on Elementary Linear Algebra C. David Sherrill School of Chemistry and Biochemistry Georgia Institute of Technology Revised August 2005 Vectors Matrices Determinants Inverse Matrices ... About this document ... David Sherrill 2006-08-15

10. CiteULike: Tag Linear_algebra [8 Articles] posted to linear_algebra formal_theory by yakovenko on 200707-16 145825 as posted to linear_systems linear_algebra algebraic_geometry by yakovenko on http://www.citeulike.org/tag/linear_algebra

Register Log in FAQ Sponsored link CiteULike News CiteGeist Discussion Journals Browse current issues Groups Search groups Tag linear_algebra [8 articles] Recent papers classified by the tag linear_algebra. How and why to solve the operator equation $AX-XB=Y$ Bull. London Math. Soc. , Vol. 29, No. 1. (1997), pp. 1-21. by Rajendra Bhatia , Peter Rosenthal posted to by yakovenko on 2007-07-16 14:58:25 as along with 3 people artur TooMuchCoffeeMan ansobol ... Middle convolution of Fuchsian systems and the construction of rigid differential systems Journal of Algebra , Vol. 318, No. 1. (1 December 2007), pp. 1-24. by Michael Dettweiler , Stefan Reiter posted to by yakovenko on 2007-10-25 10:10:11 as Determinant Maximization with Linear Matrix Inequality Constraints SIAM Journal on Matrix Analysis and Applications , Vol. 19, No. 2. (1998), pp. 499-533. by Lieven Vandenberghe , Stephen Boyd , Shao P Wu posted to maximization determinant by patrickmo on 2008-01-18 01:12:58 as along with 1 person teesid How to Calculate the Exponential of Matrices (17 Apr 2006) by Kazuyuki Fujii , Hiroshi Oike posted to mathematics by NitinCR on 2006-07-04 16:42:35 as along with 5 people BrendaChng kriskrogh proportional ... Computing a nearest symmetric positive semidefinite matrix Linear Algebra and its Applications , Vol. 103 (May 1988), pp. 103-118.

11. Linear_algebra - SWiK Erase linear_algebra? The contents of linear_algebra page and all pages directly attached to linear_algebra will be erased. http://swik.net/linear_algebra

SWiK login / register changes) Your tags: or Cancel New Page Wiki RSS Feed Blog Bookmarks Enter RSS URL to Syndicate here: (Feed found, click Add Page to syndicate.) Error finding feed, please try again A Blog Page allows you to add entries, for news or other time sensitive postings A Bookmarks page is a really simple list of links - ordered by date. Enter a title for this page this list of links the feed this blog Formatting help Login required to save to your tagged pages.) Add to your tagged pages? Enter space separated tags: (or Cancel var g_swipEditType = 'wiki'; var g_swipChangeType = 'wiki'; Wiki Page Open Source Project Finding project information from the web - complete. Preview Formatting Preview your edits: Make further edits (or Cancel Homepage Author License Login required to save to your tagged pages.)

12. Projects Tagged ‘3d’, ‘library’, ‘linear_algebra’, Projects tagged ‘3d’, ‘library’, ‘linear_algebra’, and ‘math’ Filtered by Project Tags 3d library linear_algebra math. 1 total http://www.ohloh.net/tags/3d/library/linear_algebra/math

Root Classifieds Labs Register Login ... Register Jump to tag: Filtered by library math [1 total ] CML Primary Language: C/C++ Licensed as: Boost Software License The Configurable Math Library (CML) is an open-source C++ library designed for use in games, graphics, computational geometry, and related applications. It includes vector, matrix, and quaternion classes, and a large library of related functions. [More] Vectors and matrices can be of arbitrary size, and all classes are parameterized by element type. Other options, such as matrix layout and choice of row- or column-vector notation, are available as well. The CML can be used as an extension to an existing math library, in lieu of or as an extension to the DirectX math library, or as a drop-in solution for OpenGL-based applications. [Less] Metrics updated about 8 hours ago Popular Tags java c++ web development ... tools Ohloh About FAQ Blog News ... Privacy New Projects Incredibly Versatile Distributed FS IDMS DBMA IVS Milter BootUtils ... As a web developer, I am developing XHTML 1.1 pages and moving towards other standards such as SV...

13. BlackBox : Tag Linear_algebra apple chama code dsl grails graphics groovy iphone java linear_algebra math matrix maven oss ruby search tapestry writing_tips writings yaml http://www.warneronstine.com/blog/articles/tag/linear_algebra

BlackBox Where technology and art disappear Math DSL Part Deux - Elementary Row Operations (EROs) Posted by Warner Onstine Mon, 26 Nov 2007 18:59:24 GMT Create a new MetaClass using ExpandoMetaClass Define a new class that understood what row and matrix it was going to operate on (so it can have its own operator overloading) Yes it was a little bit of extra work, but worth it. I also implemented my or operator overloading so that I can specify augmented matrices in three formats: for the identity matrix (only works on square matrices) for the zero column, used for solving the set of linear equations for a vector column, also used for solving the set of linear equations When dealing with EMC (ExpandoMetaClass) watch out for the use of the this keyword GroovyObjectSupport Overriding the or operator works fine until you get to an object that has overridden the equals operator. In this case Groovy kept trying to find out if my Matrix was equal to my MatrixColumn . Once I figured this out I just returned false if the MatrixColumn was being compared against a Matrix then it worked as expected.

14. G. Linear_Algebra Module Code Listing The main documentation of the linear_algebra Module contains additional explanation CVS Info $Id linear_algebra.F90,v 1.6 2004/06/15 225750 hall Exp http://www.lanl.gov/Caesar/node506.html

Next: G.1 Mathematic_Vector Class Code Up: Previous: F.1.13 Timer Class Unit G. Linear_Algebra Module Code Listing The main documentation of the Linear_Algebra Module contains additional explanation of this code listing. ! ! Author: Michael L. Hall ! P.O. Box 1663, MS-D413, LANL ! Los Alamos, NM 87545 ! ph: 505-665-4312 ! email: Hall@LANL.gov ! ! Created on: 09/16/03 ! CVS Info: $Id: linear_algebra.F90,v 1.6 2004/06/15 22:57:50 hall Exp $ module Caesar_Linear_Algebra_Module ! Global use associations. use Caesar_Data_Structures_Module use Caesar_Mathematic_Vector_Class use Caesar_ELL_Matrix_Class use Caesar_Solver_Class !use Caesar_Matrix_Class !use Caesar_Full_Matrix_Class ! Start up with everything untyped and public. ! Note: this module contains no private information. implicit none public end module Caesar_Linear_Algebra_Module Subsections G. Mathematic_Vector Class Code Listing G. Initialize_Mathematic_Vector Procedure ... Michael L. Hall

15. LINEAR_ALGEBRA: What Is A Subspace Of V = F(R, R), The Vector Space Of All Real linear_algebra What is a subspace of V = F(R, R), the vector space of all real funcs Calculus Beyond. http://www.physicsforums.com/showthread.php?t=133616

16. PGM Image: Linear_Algebra Class Reference Definition at line 1006 of file linear_algebra.cpp. References Matrixrow_size(), and Vectorsize(). Referenced by QR(). http://www.cs.utk.edu/~spires/html/content/code/Image/doc/classLinear__Algebra.h

Main Page Class List Directories File List ... File Members Linear_Algebra Class Reference Class of static methods for solving linear systems. More... Linear_Algebra.hpp List of all members. Public Types typedef Matrix::value_type typedef Matrix::size_type Public Member Functions Static Public Member Functions static det (const Matrix static Matrix (const Matrix static Vector (const Matrix Vector static Vector jacobi Matrix Vector static Vector Matrix Vector static Vector SOR Matrix Vector static Matrix Matrix =DEFAULT_TOL, unsigned=DEFAULT_ITER) static Matrix Matrix =DEFAULT_TOL, unsigned=DEFAULT_ITER) static (const Matrix static Matrix Matrix =DEFAULT_TOL, unsigned=DEFAULT_ITER) static void eigen (const Matrix Vector Matrix static Vector (const Matrix static void householder Matrix static Vector QR (const Matrix =DEFAULT_TOL, unsigned=DEFAULT_ITER) Static Protected Member Functions static void Matrix static void Matrix Vector Vector static int Matrix Vector Vector static void static Vector (const Matrix static Vector (const Matrix static Matrix Vector Vector static Vector Vector Vector Detailed Description Class of static methods for solving linear systems.

17. Arroyo: Linear_algebra.h File Reference linear_algebra.h File Reference. Go to the source code of this file. Namespaces. namespace, Arroyo. Functions. template class T http://eraserhead.caltech.edu/arroyo/releases/1.0.0/html/linear__algebra_8h.html

Main Page Namespace List Class Hierarchy Alphabetical List ... lib linear_algebra.h File Reference Go to the source code of this file. Namespaces namespace Arroyo Functions void Function Documentation void singular_value_decomposition char * jobu char * jobvt m n T * a lda T * s T * u ldu T * vt ldvt T * work lwork info Generated on Thu Nov 29 17:16:32 2007 for arroyo by

18. Index Of /~insall/Problems/Linear_Algebra . Parent Directory Dynamical_System/ 31-Oct-2006 2240 - New Folder/......Index of /~insall/Problems/linear_algebra. Name Last modified Size http://web.mst.edu/~insall/Problems/Linear_Algebra/

Index of /~insall/Problems/Linear_Algebra Name Last modified Size Description ... Parent Directory 31-Oct-2006 22:40 - New Folder/ 31-Oct-2006 22:40 - Apache/2.0.52 (Red Hat) Server at web.mst.edu Port 80

19. People Tagged Linear_algebra @ Consumating A New Way To Find There is 1 person tagged linear_algebra. or, see conversations about linear_algebra. Are you tagged linear_algebra? Join Consumating! http://www.consumating.com/tags/linear_algebra

20. Numarray.linear_algebra.eigenvectors Bug ? Thanks, Eugene Druker import numarray, numarray.linear_algebra EigenVectors = numarray.linear_algebra.eigenvectors Multiply = numarray.matrixmultiply Zeros http://mail.python.org/pipermail/python-list/2003-September/225754.html

numarray.linear_algebra.eigenvectors bug ? Eugene Druker eugene_druker at yahoo.com Fri Sep 19 23:28:40 CEST 2003 Previous message: return codes from py2exe python script Next message: numarray.linear_algebra.eigenvectors bug ? Messages sorted by: [ date ] [ thread ] [ subject ] [ author ] Previous message: return codes from py2exe python script Next message: numarray.linear_algebra.eigenvectors bug ? Messages sorted by: [ date ] [ thread ] [ subject ] [ author ] ... More information about the Python-list mailing list

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