By Gene H. Golub
This computationally orientated e-book describes and explains the mathematical relationships between matrices, moments, orthogonal polynomials, quadrature principles, and the Lanczos and conjugate gradient algorithms. The publication bridges varied mathematical components to procure algorithms to estimate bilinear varieties concerning vectors and a functionality of the matrix. the 1st a part of the ebook presents the mandatory mathematical historical past and explains the idea. the second one half describes the functions and offers numerical examples of the algorithms and methods constructed within the first part.
Applications addressed within the ebook comprise computing parts of features of matrices; acquiring estimates of the mistake norm in iterative tools for fixing linear platforms and computing parameters in least squares and overall least squares; and fixing ill-posed difficulties utilizing Tikhonov regularization.
This e-book will curiosity researchers in numerical linear algebra and matrix computations, in addition to scientists and engineers engaged on difficulties concerning computation of bilinear forms.
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