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The Numerical Jordan Form by Petko H Petkov is a nonfiction available to read on EtoBox.

What is The Numerical Jordan Form about?

"The Numerical Jordan Form is the first book dedicated to exploring the algorithmic and computational methods for determining the Jordan form of a matrix, as well as addressing the numerical difficulties in finding it. Unlike the "pure" Jordan form, the numerical Jordan form preserves its structure under small perturbations of the matrix elements so that its determination presents a well-posed computational problem. If this structure is well conditioned, it can be determined reliably in the presence of uncertainties and rounding errors. This book addresses the form's application in solving some important problems such as the estimation of eigenvalue sensitivity and computing the matrix exponential. Special attention is paid to the Jordan-Schur form of a matrix which, the author suggests, is not exploited sufficiently in the area of matrix computations. Since the mathematical objects under consideration can be sensitive to changes in the elements of the given matrix, the book also investigates the perturbation analysis of eigenvalues and invariant subspaces. This study is supplemented by a collection over 100 M-files suitable for MATLAB in order to implement the state-of-the art alg

Who reads The Numerical Jordan Form?

Author

Petko H Petkov

Publisher

World Scientific Publishing Company

Published

2024

Language

EN

ISBN

9789811286445

Category

nonfiction

Subjects

Mathematics, Computer Science, Stem