TY - JOUR T1 - Symbiosis between Linear Algebra and Optimization JF - Journal of Computational and Applied Mathematics Y1 - 2000 A1 - O'Leary, Dianne P. AB - The efficiency and effectiveness of most optimization algorithms hinges on the numerical linearalgebra algorithms that they utilize. Effective linearalgebra is crucial to their success, and because of this, optimization applications have motivated fundamental advances in numerical linearalgebra. This essay will highlight contributions of numerical linearalgebra to optimization, as well as some optimization problems encountered within linearalgebra that contribute to a symbiotic relationship. VL - 123 ER -