Generalizing Cramer's Rule: Solving Uniformly Linear Systems of Equations
نویسندگان
چکیده
منابع مشابه
Solving Linear Systems of Equations
Seeking a basis for the null space of a rectangular and possibly rank deficient and ill conditioned matrix we apply randomization, augmentation, and aggregation to reduce our task to computations with well conditioned matrices of full rank. Our algorithms avoid pivoting and orthogonalization, preserve matrix structure and sparseness, and in the case of an ill conditioned input perform only a sm...
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ژورنال
عنوان ژورنال: SIAM Journal on Matrix Analysis and Applications
سال: 2005
ISSN: 0895-4798,1095-7162
DOI: 10.1137/s0895479802418860