We will present the Newton-Raphson algorithm, and the secant method. A MATLAB function for the Newton-Raphson method. The function.MATLAB has many tools that make this package well suited for numerical computations. The Newton-Raphson method for systems of nonlinear equations.The Newton-Raphson method, or Newton Method, is a powerful technique. Interesting is Section 3, where the birth of the N...

Scientific legacy code in MATLAB/Octave not compatible with modernization of research workflows is vastly abundant throughout academic community. Performance of non-vectorized code written in MATLAB/Octave represents a major burden. A new programming language for technical computing Julia, promises to address these issues. Although Julia syntax is similar to MATLAB/Octave, porting code to Julia...

MATLAB is a numeric computation software for engineering and scientific calculations. MATLAB is being used to teach circuit theory, filter design, random processes, control systems and communication theory. MATLAB matrix functions are shown to be versatile in doing analysis of data obtained from electronics experiments. The graphical features of MATLAB are especially useful for display of frequ...

The Remote Objects Control Interface, or ROCI, is a framework used within the University of Pennsylvania’s GRASP Laboratory to manipulate a network of distributed sensory nodes. The objective of this project is to build interfaces for querying and controlling these nodes, and thusly the network that they compose. In particular, the goal is to bridge the MATLAB environment to ROCI. The end resul...

Dynamic array-based languages such as MATLAB provide a wide range of built-in operations which can be efficiently applied to all elements of an array. Historically, MATLAB and Octave programmers have been advised to manually transform loops to equivalent “vectorized” computations in order to maximize performance. In this paper we present the techniques and tools to perform automatic vectorizati...

We describe the problems associated with the creation of high performance code for mathematical computations. We discuss the advantages and disadvantages of using a high level language like MATLAB and then propose partial evaluation as a way of lessening the disadvantages at little cost. We then go on to describe the design of a partial evaluator for MATLAB and present results showing what perf...

Toolboxes are the name given by the MathWorks to related sets of MATLAB functions aimed at solving a particular class of problems. Toolboxes of functions useful in signal processing, optimization, statistics, finance and a host of other areas are available from the MathWorks as add-ons to the standard MATLAB software distribution. I use the term Spatial Econometrics Toolbox to refer to my publi...

dde23 aims to make it as easy as possible to solve effectively delaydifferential equations (DDEs) with constant delays in Matlab. In this paper we discuss some of its features, including discontinuity tracking, iteration for short delays, and event location. We also develop some theoretical results that underlie the solver, including convergence, error estimation, and the effects of short delay...