Linear Systems

Companion software for the Signal Processing & Linear Systems book by B.P. Lathi

This book is written for computational scientists who would like to incorporate state-of-the-art computational methods for solving large sparse systems of linear equations.For a full book description and ordering information, please visithttp://www.mathworks.com/support/books/boo...=-1&language=-1

These are the slides of a plenary talk given at the 2006 SIAM Annual Meeting, on July 11, 2006.The talk describes how x=Ab works in MATLAB, when A is sparse.You can view the video at http://www.cise.ufl.edu/research/sparse/SIAM06. Follow along with these slides as you view the video. The slides...


Platforms: Matlab

SolverNxN is designed to solve many small linear system in a vectorized way in order to improve time perfomaces. It is in practice a faster alternative to the matlab commands: for k = 1:number_of_systemsx=Ab;end The Matlab looping speed can visibly slow down this process so most of the time is...


Platforms: Matlab

This book focuses on the theory, implementation, and applications of subspace identification algorithms for linear time-invariant finite-dimensional dynamical systems.For a full book description and ordering information, please refer to http://www.mathworks.com/support/books/book1458.jsp.


Platforms: Matlab

You can solve non-linear systems of 3 variables. Only write "newtonv1" on the command window. Then write the 3 equations, the number of iterations y the precision tolerance. The partial derivatives for the gradients are calculated by the program


Platforms: Matlab

A problem from Dynamics of Structures - Anil K. Chopra is picked and code written to solve the problem.The problem is to get the dynamic response of a structure using Newmark's method. System is a linear system.


Platforms: Matlab

Solve multiple (2x2) or (3x3) linear systems:A(:,:,k)*X(:,:,k) = B(:,:,k) for k=1,2,...,NThe method used here is basic cofactor/determinant.DISADVANTAGE: This method may be less accurate than Matlab backslash (using in for-loop) when the matrices are ill-conditioned.ADVANTAGE: for a large number...


Platforms: Matlab

Middle-School (grades 5 through 9) math program written to provide skills in context. Students manipulate weights on two balance beams to solve two simultaneous equations.


Platforms: Mac

This vector class stores elements in a list and hence allows the 'vector' to grow dynamically. Common mathematical functions (sin, cosh, etc) are supported elementwise and so are a number of 'external' operations (dot for the inner product between vectors, norm, sum etc.).This class does not rely...


Platforms: Windows, Mac, *nix, Python, BSD Solaris

Inversion of Laplace transforms is a very important procedure used in solution of complex linear systems.The function f(t)=INVLAP(F(s)) offers a simple, effective and reasonably accurate way to achieve the result. It is based on the paper:J. Valsa and L. Brancik: Approximate Formulae for...


Platforms: Matlab

This is a dedicated mex-file for use with UMFPACK to efficiently complete the permuted forward/back substitution to solve linear systems, A*x = b when A is sparse and b is a dense vector.UMFPACK is used when the MATLAB function "lu" is called with 4 outputs:[L,U,P,Q] = lu(A, tol);The mex-file...


Platforms: Matlab

MATLAB sparse matrix converter to HypreMATLAB vector converter to HypreHypre sparse matrix converter to MATLABHypre vector converter to MATLABThe Parallel High Performance Preconditioners (hypre) is a library of routines for scalable (parallel) solution of linear systems. The built-in BLOPEX...


Platforms: Matlab

The following problem is considered: given a matrix A in R(mxn), a vector b in R(m) and e>0, compute a vector x satisfying norm(Ax-b)


Platforms: Matlab

OFELI is a free and open source object oriented library of C++ classes that will help you develop finite element codes. OFELI is intended for teaching, research and industrial developments as well. Here are some key features of "OFELI": ?*A* Various storage schemes of matrices (dense, sparse,...


Platforms: Mac

The second edition of "Linear Signals and Systems" (LSS2) by B. P. Lathi provides a significant MATLAB component, which is presented from a signals and systems perspective. All of the text's MATLAB code is available from this site. Code for the computer examples in chapter xx is named CExx.m....


Platforms: Matlab

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 library for high performance linear algebra computations. This version includes support for solving linear systems using LU, Cholesky, QR matrix factorizations, for real and complex matrices. Features . Real and complex-valued Matrix Operations . Fast Linear Equation...


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

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