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Вычислительные методы линейной алгебры

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Springer, 2023. — 259 p. — ISBN 978-3-031-29753-3. This book is entirely devoted to sampled-data control systems analysis and design from a new point of view, which has at its core a mathematical tool named Differential Linear Matrix Inequality - DLMI, a natural generalization of Linear Matrix Inequality - LMI, that had an important and deep impact on systems and control theory...
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Springer, 2010. — 323 p. — ISBN: 978-90-481-9273-1. Engineers and scientists need to have an introduction to the basics of linear algebra in a context they understand. Computer algebra systems make the manipulation of matrices and the determination of their properties a simple matter, and in practical applications such software is often essential. However, using this tool when...
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Springer, 2023. — 254 p. — (NecasCenter Series). — ISBN 978-3-031-25819-0. Алгоритмы для разреженных линейных систем Large sparse linear systems of equations are ubiquitous in science, engineering and beyond. This monograph focuses on factorization algorithms for solving such systems. It presents classical techniques for complete factorizations that are used in sparse direct...
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Springer, 2023. — 233 p. — (Springer Series in Computational Mathematics 60). — ISBN 978-981-19-8531-7. In many fields of scientific computing and Data Science, we frequently face the problem of solving large and sparse linear systems of the form Ax = b, which is one of the most time-consuming parts of all computations. From this fact, many researchers have devoted themselves...
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Springer, 2018. — 358 p. — (Developments in Mathematics). — ISBN 978-981-13-0146-9. This book begins with the fundamentals of the generalized inverses, then moves to more advanced topics.It presents a theoretical study of the generalization of Cramer's rule, determinant representations of the generalized inverses, reverse order law of the generalized inverses of a matrix...
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De Gruyter GmbH, 2020. — 303 p. — ISBN: 978-3-11-066371-6. The book focused on solving linear algebra practical problems with MatLAB. The input and manipulation of matrices are introduced first, followed by the matrix analysis and transformation problem solutions. Matrix equation solutions, matrix function evaluations, and various linear algebra applications are also...
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Пер. с англ. — М.: Мир, 1988. — 410 с., ил. ISBN: 5-03-000960-4. Книга американского специалиста, охватывающая практически все алгебраические задачи по разреженным матрицам. Представлено много фактического материала по технологии применения разреженных матриц, изложение последовательное и наглядное. Книга удачно дополняет имеющуюся на русском языке литературу по этой тематике....
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