Solving Linear Systems

DIRECT METHODS FOR SOLUTION OF LINEAR SYSTEMSGaussian Elimination AlgorithmGauss-Jordan AlgorithmFactoring algorithmITERATIVE METHODS FOR SOLVING SYSTEMS OF EQUATIONSJacobi algorithmGauss-Seidel algorithm

The libMesh library provides a framework for the numerical simulation of partial differential equations using arbitrary unstructured discretizations on serial and parallel platforms. libMesh currently supports 1D, 2D, and 3D steady and transient finite element simulations. The library makes use...

la4j (Linear Algebra for Java) - is a elegant and pure Java library for solving problems of linear algebra. It is support sparse and dense matrices and vectors. la4j - is a try to design nice object oriented implementation of linear math library. Features single-threaded; uniform...


Platforms: Mac

The NA_WorkSheet is a collective aggregation of algorithms coded in Java that implements various Numerical Analysis solutions/techniques in one easy to use open source tool. The application may be used for graphing, root finding, differentiation, integration, interpolation, linear systems...


Platforms: Mac

Performs computations associated with 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...


Platforms: Windows

LAPACK is a linear algebra library, based on LINPACK and EISPACK. LAPACK is written in Fortran77 and provides routines for solving systems of simultaneous linear equations, least-squares solutions of linear systems of equations, eigenvalue problems, and singular value problems. The associated...


Platforms: *nix

DOLFIN is the C++/Python interface of FEniCS, providing a consistent PSE (Problem Solving Environment) for ordinary and partial differential equations. Features * Simple, consistent and intuitive object-oriented API in C++ or Python * Automatic and efficient evaluation of finite element...


Platforms: *nix

The Bluebit .NET Matrix Library provides classes for object-oriented linear algebra in the .NET platform. It can be used to solve systems of simultaneous linear equations, least-squares solutions of linear systems of equations, eigenvalues and eigenvectors problems, and singular value...


Platforms: Windows

This Simulation model simulates Exercise problem 1.18 of Non Linear Systems by Hassan H.Khalil.Details About the parameters can be seen from the Model.


Platforms: Matlab

This e-book is based on the Student Edition of MATLAB 7, which includes a symbolic toolbox. The Professional Edition may of course also be used. The goal is to exploit a restricted subset of MATLAB commands and functions to explore most of the elements of undergraduate mathematics. All items from...


Platforms: Matlab

The reduction of complex linear system is always a very important topic in many courses. In Signal and System it is the analysis of Signal Flow graph(Mason's Rule). In Signal Processing it is to find out the system function from complex filter structure. In Automatic Control it is the reduction...


Platforms: Matlab

We can exploit the symmetry of a real, positive definite, symmetric matrix by using the Cholesky decomposition to compute the inverse.The built-in MATLAB inv function uses LU decomposition which requires extra pivots and operations. Rarely does one actually need to compute the inverse of a matrix...


Platforms: Matlab

Matlab software associated to the paper:L.G. Van Willigenburg, W.L. De Koning, 1999, "Optimal reduced-order compensators for time-varying discrete-time systemswith deterministic and white parameters",Automatica, 35, 129-138.Systems with white parameters (with multiplicative white noise) are...


Platforms: Matlab

For those of us who like to provide our own partial derivative sensitivity matrix. Can be used for both linear and non-linear systems.x = nrsolve( F, dFdx, xi, tol, max_iter, c1, c2.... )Given a system of equations F = {F1;F2;...}, defined sensitivity matrix dFdx (matlab functions allowed), and...


Platforms: Matlab

This package contains program adaptations to invert large matrices with thousands of elements and solve linear system with many variables (up to 250 ). Operations performed are: inversion, multiplication, solving linear system, linear regression and polynomial regression. A useful Excel addin is...


Platforms: MS Excel Add-in

Math::Symbolic::MiscAlgebra contains miscellaneous algebra routines like det(). SYNOPSIS use Math::Symbolic qw/:all/; use Math::Symbolic::MiscAlgebra qw/:all/; # not loaded by Math::Symbolic @matrix = ([x*y, z*x, y*z],[x, z, z],[x, x, y]); $det = det @matrix; @vector = (x, y, z);...


Platforms: *nix

Free Scripting Addition to provide advanced mathematical commands. Includes:linear algebra (eigenvalues, linear systems solving, etc.)signal processing (1d, 2d, and n-d FFT, cross- and self-correlations, convolution, interpolation)image processing (import/export, particle analysis)3D arrays...


Platforms: Mac

OptiVec contains more than 3500 hand-optimized, Assembler-written functions for all floating-point and integer data types from the following fields: 1. Vectorized form of arithmetic operators and math functions. 2. Matrix operations, e.g.: multiplication, inversion, LU decomposition, singular...


Platforms: Windows, Other

OptiVec contains more than 3500 hand-optimized, Assembler-written functions for all floating-point and integer data types from the following fields: 1. Vectorized form of arithmetic operators and math functions. 2. Matrix operations, e.g.: multiplication, inversion, LU decomposition, singular...


Platforms: Windows, Other

OptiVec contains more than 3500 hand-optimized, Assembler-written functions for all floating-point and integer data types from the following fields: 1. Vectorized form of arithmetic operators and math functions. 2. Matrix operations, e.g.: multiplication, inversion, LU decomposition, singular...


Platforms: Windows, Other