出版社：清华大学出版社
年代：2011
定价：79.0
本书详尽讨论线性方程系统数值算法的精确性与稳定性，被誉为此领域的“圣经”类图书。
list of figures
list of tables
preface to second edition
preface to first edition
about the dedication
1 principles of finite precision computation
2 floating point arithmetic
3 basics
4 summation
5 polynomials
6 norms
7 perturbation theory for linear systems
8 triangular systems
9 lu factorization and linear equations
10 cholesky factorization
list of figures
list of tables
preface to second edition
preface to first edition
about the dedication
1 principles of finite precision computation
2 floating point arithmetic
3 basics
4 summation
5 polynomials
6 norms
7 perturbation theory for linear systems
8 triangular systems
9 lu factorization and linear equations
10 cholesky factorization
11 symmetric indefinite and skew-symmetric systems
12 iterative refinement
13 block lu factorization
14 matrix inversion
15 condition number estimation
16 the sylvester equation
17 stationary iterative methods
18 matrix powers
19 qr factorization
20 the least squares problem
21 underdetermined systems
22 vandermonde systems
23 fast matrix multiplication
24 the fast fourier transform and applications
25 nonlinear systems and newton's method
26 automatic error analysis
27 software issues in floating point arithmetic
28 a gallery of test matrices
a solutions to problems
b acquiring software
c program libraries
d the matrix computation toolbox
bibliography
name index
subject index
accuracy and stability of numerical
algorithms gives a thorough, up-to-date treatment of the behavior
of numerical algorithms in finite precision arithmetic. it combines
algorithmic derivations, perturbation theory, and rounding error
analysis, all enlivened by historical perspective and informative
quotations.
this second edition expands and updates the coverage of the
first edition (1996) and includes numerous improvements to the
original material. two new chapters treat symmetric indefinite
systems and skew-symmetric systems, and nonlinear systems and
newton's method. twelve new sections include coverage of additional
error bounds for gaussian elimination, rank revealing lu
factorizations, weighted and constrained least squares problems,
and the fused multiply-add operation found on some modern computer
architectures. although not designed specifically as a textbook,
this new edition is a suitable reference for an advanced course. it
can also be used by instructors at all levels as a supplementary
text from which to draw examples, historical perspective,
statements of results, and exercises.
| 书籍详细信息 | |||
| 书名 | 数值算法的精确性与稳定性站内查询相似图书 | ||
| 丛书名 | 国际著名数学图书 | ||
| 9787302244936 如需购买下载《数值算法的精确性与稳定性》pdf扫描版电子书或查询更多相关信息，请直接复制isbn,搜索即可全网搜索该ISBN | |||
| 出版地 | 北京 | 出版单位 | 清华大学出版社 |
| 版次 | 影印本 | 印次 | 1 |
| 定价(元) | 79.0 | 语种 | 英文 |
| 尺寸 | 26 × 19 | 装帧 | 平装 |
| 页数 | 印数 | 3000 | |
数值算法的精确性与稳定性是清华大学出版社于2011.出版的中图分类号为 O241 的主题关于 数值计算－计算方法－英文 的书籍。