[किताब][B] Numerical methods for least squares problems
Å Björck - 2024 - SIAM
Excerpt More than 25 years have passed since the first edition of this book was published in
1996. Least squares and least-norm problems have become more significant with every …
1996. Least squares and least-norm problems have become more significant with every …
[किताब][B] Handbook of linear algebra
L Hogben - 2006 - books.google.com
The Handbook of Linear Algebra provides comprehensive coverage of linear algebra
concepts, applications, and computational software packages in an easy-to-use handbook …
concepts, applications, and computational software packages in an easy-to-use handbook …
[HTML][HTML] Assessing mixed-pixels effects in vineyard map** from Satellite: A proposal for an operational solution
Satellite-based multispectral remote sensing in the wine sector is expanding, aiming at
improving vineyard management for both environmental sustainability and vine quality/yield …
improving vineyard management for both environmental sustainability and vine quality/yield …
New regularization techniques for ill-conditioning problems and their applications: choices of regularization parameters
This is a continued study of Li et al.(2011) for the regularization of ill-conditioning problems,
where the minimal singular value σ min of discrete matrices is infinitesimal. To remove the …
where the minimal singular value σ min of discrete matrices is infinitesimal. To remove the …
Ill‐conditioning of the truncated singular value decomposition, Tikhonov regularization and their applications to numerical partial differential equations
ZC Li, HT Huang, Y Wei - Numerical Linear Algebra with …, 2011 - Wiley Online Library
This paper explores some intrinsic characteristics of accuracy and stability for the truncated
singular value decomposition (TSVD) and the Tikhonov regularization (TR), which can be …
singular value decomposition (TSVD) and the Tikhonov regularization (TR), which can be …
A contribution to the conditioning of the total least-squares problem
We derive closed formulas for the condition number of a linear function of the total least-
squares solution. Given an overdetermined linear system Ax≈ b, we show that this condition …
squares solution. Given an overdetermined linear system Ax≈ b, we show that this condition …
Mixed, componentwise condition numbers and small sample statistical condition estimation of Sylvester equations
We present a componentwise perturbation analysis for the continuous‐time Sylvester
equations. Componentwise, mixed condition numbers and new perturbation bounds are …
equations. Componentwise, mixed condition numbers and new perturbation bounds are …
[HTML][HTML] Mixed and componentwise condition numbers for a linear function of the solution of the total least squares problem
HA Diao, Y Sun - Linear Algebra and its Applications, 2018 - Elsevier
In this paper, we consider the mixed and componentwise condition numbers for a linear
function Lx of the solution to the total least squares (TLS) problem. We derive the explicit …
function Lx of the solution to the total least squares (TLS) problem. We derive the explicit …
[HTML][HTML] Structured condition numbers of structured Tikhonov regularization problem and their estimations
Both structured componentwise and structured normwise perturbation analysis of the
Tikhonov regularization are presented. The structured matrices under consideration include …
Tikhonov regularization are presented. The structured matrices under consideration include …
A note on stable perturbations of Moore–Penrose inverses
SUMMARY Perturbation bounds for Moore–Penrose inverses of rectangular matrices play a
significant role in the perturbation analysis for linear least squares problems. In this note, we …
significant role in the perturbation analysis for linear least squares problems. In this note, we …