Mathematical Engineering

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• Understanding Sparse Matrix Storage

  Sparse matrices are powerful tools that can be used to save memory when processing and storing matrices that contain a lot of zero values. Within a sparse matrix, only the non-zero values are stored which can mean significant memory savings. For example, a 501-by-501 tri-diagonal matrix contains 251,001 values as a full matrix while it… Continue reading »

• Sparse and Automatic Accumulation

  The sparse function is normally used to create sparse matrices but it has a trick up its sleeve!  This post reveals one of my favorite MATLAB tricks. When used with the tuple syntax, sparse(i,j,v) or sparse(i,j,v,m,n), any repeated (i,j) elements are automatically accumulated! In other words, the sparse function automatically sums any values that are… Continue reading »

• Custom Software Development

  We have a track record of creating complete end-to-end solutions, including software that runs on multiple platforms and utilizing multiple languages such as MATLAB, C/C++, perl, PHP, Unix shell scripts and SQL. We have created solutions for mobile devices such as iPhone, Palm OS, Windows Mobile, as well as for Mac OS, Windows, and Unix… Continue reading »

• Engineering With Software

  At Mathematical Engineering™ we use software and mathematics to create trouble-free custom solutions for your business. We can assist with analyzing your results, speeding up your m-files or creating a sophisticated mathematical model. We can create visualization tools to help you gain insights or a graphical user interface (GUI) to automate your investigations. With specializations… Continue reading »

• Expert MATLAB Consulting

  Dr. Clay M. Thompson is one of the world’s foremost MATLAB programmers. He knows MATLAB inside and out, and specializes in using MATLAB to develop cost-effective, custom, proprietary applications for our clients. Dr. Thompson worked at The MathWorks, Inc. (the makers of MATLAB) for 9 years developing toolboxes and writing m-files. He was the chief… Continue reading »