The Lanczos and Conjugate Gradient Algorithms is popular PDF and ePub book, written by Gerard Meurant in 2006-01-01, it is a fantastic choice for those who relish reading online the Computers genre. Let's immerse ourselves in this engaging Computers book by exploring the summary and details provided below. Remember, The Lanczos and Conjugate Gradient Algorithms can be Read Online from any device for your convenience.
The Lanczos and Conjugate Gradient Algorithms Book PDF Summary
The Lanczos and conjugate gradient (CG) algorithms are fascinating numerical algorithms. This book presents the most comprehensive discussion to date of the use of these methods for computing eigenvalues and solving linear systems in both exact and floating point arithmetic. The author synthesizes the research done over the past 30 years, describing and explaining the "average" behavior of these methods and providing new insight into their properties in finite precision. Many examples are given that show significant results obtained by researchers in the field. The author emphasizes how both algorithms can be used efficiently in finite precision arithmetic, regardless of the growth of rounding errors that occurs. He details the mathematical properties of both algorithms and demonstrates how the CG algorithm is derived from the Lanczos algorithm. Loss of orthogonality involved with using the Lanczos algorithm, ways to improve the maximum attainable accuracy of CG computations, and what modifications need to be made when the CG method is used with a preconditioner are addressed.
Detail Book of The Lanczos and Conjugate Gradient Algorithms PDF
- Author : Gerard Meurant
- Release : 01 January 2006
- Publisher : SIAM
- ISBN : 0898718147
- Genre : Computers
- Total Page : 380 pages
- Language : English
- PDF File Size : 16,7 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book The Lanczos and Conjugate Gradient Algorithms by Gerard Meurant, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.