3篇
您的检索式：作者名="Mahvish Samar"
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| 1 | Structured condition numbers and statistical condition estimation for the LDU factorization显示文摘In this article, we consider the structured condition numbers for LDU, factorization by using the modified matrix-vector approach and the differential calculus, which can be represented by sets of parameters. By setting the specific norms and weight parameters, we present the expressions of the structured normwise, mixed, componentwise condition numbers and the corresponding results for unstructured ones. In addition, we investigate the statistical estimation of condition numbers of LDU factorization using the probabilistic spectral norm estimator and the small-sample statistical condition estimation method, and devise three algorithms. Finally, we compare the structured condition numbers with the corresponding unstructured ones in numerical experiments. | Mahvish Samar Aamir Farooq MU Chun-lai | 2020 | Applied Mathematics(A Journal of Chinese Universities)2020，35，3： | 1 |
| 2 | Re ned rigorous perturbation bounds for the SR decomposition显示文摘In this article,some new rigorous perturbation bounds for the SR decomposition un-der normwise or componentwise perturbations for a given matrix are derived.Also,the explicit expressions for the mixed and componentwise condition numbers are presented by utilizing the block matrix-vector equation approach.Hypothetical and trial results demonstrate that these new bounds are constantly more tightly than the comparing ones in the literature. | Mahvish Samar Aamir Farooq | 2021 | Applied Mathematics(A Journal of Chinese Universities)2021，36，4： | 0 |
| 3 | Indefinite Least Squares Problem with Quadratic Constraint and Its Condition Numbers显示文摘In this paper,we consider the indefinite least squares problem with quadratic constraint and its condition numbers.The conditions under which the problem has the unique solution are first presented.Then,the normwise,mixed,and componentwise condition numbers for solution and residual of this problem are derived.Numerical example is also provided to illustrate these results. | Mahvish SAMAR Aamir FAROOQ Chunlai MU Iram MUSHTAQ | 2020 | Journal of Mathematical Research with Applications2020，40，1： | 0 |
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