From Sensitivity Analysis to Random Floating Point Arithmetics - Application to Sylvester Equations

@incollection{citeulike:2765697, abstract = {Classical accuracy estimation in problem solving is basically based upon sensitivity analysis and conditionning computation. Such an approach is frequently much more dificult than solving the problem itself. Here a generic alternative through the concept of random arithmetic is presented. These two alternatives are developped around the well know Sylvester equations. Matlab implentation as a new object class is discussed and numerically illustrated.}, author = {Barraud, Alain and Lesecq, Suzanne and Christov, Nicolai }, citeulike-article-id = {2765697}, doi = {10.1007/3-540-45262-1\_5}, journal = {Numerical Analysis and Its Applications}, keywords = {floating\_point, mixed\_precision}, pages = {1--10}, posted-at = {2008-05-07 14:08:08}, priority = {2}, title = {From Sensitivity Analysis to Random Floating Point Arithmetics - Application to Sylvester Equations}, url = {http://dx.doi.org/10.1007/3-540-45262-1\_5}, year = {2001} }

TY - CHAP ID - citeulike:2765697 L3 - citeulike-article-id:2765697 TI - From Sensitivity Analysis to Random Floating Point Arithmetics - Application to Sylvester Equations JF - Numerical Analysis and Its Applications SP - 1 EP - 10 N2 - Classical accuracy estimation in problem solving is basically based upon sensitivity analysis and conditionning computation. Such an approach is frequently much more dificult than solving the problem itself. Here a generic alternative through the concept of random arithmetic is presented. These two alternatives are developped around the well know Sylvester equations. Matlab implentation as a new object class is discussed and numerically illustrated. KW - floating_point KW - mixed_precision AU - Barraud, Alain AU - Lesecq, Suzanne AU - Christov, Nicolai PY - 2001/// UR - http://dx.doi.org/10.1007/3-540-45262-1_5 ER -