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This textbook introduces the theory and practical algorithms of numerical linear algebra, with a focus on matrix factorizations and their applications in scientific computing. Topics include solving systems of linear equations, least-squares problems, eigenvalue computations, numerical stability, and matrix decomposition methods such as LU, QR, Cholesky, and Singular Value Decomposition (SVD). The book emphasizes both mathematical foundations and computational implementation.
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Publisher: Springer Nature Switzerland
Publishing Year: 2020
ISBN: 978-3-030-36468-7
Pages: 376