Chuck Lawson passed away in July at the age of 83. Chuck was one of the people who introduced me to computing and mathematical software. I worked for him at Caltech's Jet Propulsion Laboratory during the summers of 1961 and 1962, just before and after my first year in grad school.... 続きを読む >>

"New Directions in Numerical Computation" was a conference in celebration of Nick Trefethen's 60th birthday held August 25-28 in the new Andrew Wiles building, which houses the Mathematical Institute of the University of Oxford.... 続きを読む >>

I got the idea for these test matrices from Gene Golub years ago, but the mathematical foundation comes from a paper by Divakar Viswanath and Nick Trefethen. ... 続きを読む >>

I have just returned from two meetings in Europe, the 26th Biennial Conference on Numerical Analysis at the University of Strathclyde in Glasgow, Scotland, and Sparse Days III in Saint-Girons, France.... 続きを読む >>

Augustin (Austin) Dubrulle deserves to be better known in the numerical linear algebra community. His version of the implicit QR algorithm for computing the eigenvalues of a symmetric tridiagonal matrix that was published in a half-page paper in Numerische Mathematik in 1970 is faster than Wilkinson's version published earlier. It is still a core algorithm in MATLAB today. ... 続きを読む >>

The 1960 programming language ALGOL 60 influenced the design of many subsequent languages, including C and a miniature language called PL/0. I based the design of the first MATLAB on PL/0.... 続きを読む >>

Fritz Bauer, eminent German computer scientist and last surviving member of the organizing committee of the 1964 Gatlingburg Conference on Numerical Algebra, passed away on March 26 at the age of 90.... 続きを読む >>

Single and double precision are combined to facilitate a triple precision accumulated inner product.... 続きを読む >>

Iterative refinement is a technique introduced by Wilkinson for reducing the roundoff error produced during the solution of simultaneous linear equations. Higher precision arithmetic is required for the calculation of the residuals.... 続きを読む >>

The Method of Particular Solutions computes a highly accurate approximation to the eigenvalue we have been seeking, and guaranteed bounds on the accuracy. It also provides flexibility involving the boundary conditions that leads to the MathWorks logo. ... 続きを読む >>