NORMAL VECTOR AS AN EIGENVECTOR OF THE WEINGARTEN MATRIX

被引：0

作者：

Kiran, N. Uday ^{[1
]}

Sharma, Ramesh ^{[2
]}

Srinath, M. S. ^{[1
]}

机构：

[1] Sri Satya Sai Univ, Dept Math & Comp Sci, Sehore, Madhya Pradesh, India

[2] Univ New Haven, Dept Math, West Haven, CT USA

来源：

INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY | 2011年 / 4卷 / 01期

关键词：

Normal vector; Weingarten matrix; pivot point; Pivot vector;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the condition under which the normal space (the linear span of the normal vector) becomes invariant subspace of the Weingarten matrix at preferred points (called pivotal points) on a surface represented as a level set of a function. This condition has been obtained in terms of the critical points of the norm of the gradient of the surface function.

引用

页码：125 / 128

页数：4

共 50 条

[21] Noise sensitivity of the top eigenvector of a Wigner matrix
Bordenave, Charles
Lugosi, Gabor
Zhivotovskiy, Nikita
PROBABILITY THEORY AND RELATED FIELDS, 2020, 177 (3-4) : 1103 - 1135
[22] COMPUTING MAXIMAL EIGENVALUE AND EIGENVECTOR OF A POSITIVE MATRIX
HALL, CA
PORSCHING, TA
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1968, 5 (02) : 269 - +
[23] Calculation of eigenvalue and eigenvector derivatives of a defective matrix
Zhang, ZY
Zhang, HS
APPLIED MATHEMATICS AND COMPUTATION, 2006, 176 (01) : 7 - 26
[24] Robust Eigenvector of a Stochastic Matrix with Application to PageRank
Juditsky, Anatoli
Polyak, Boris
2012 IEEE 51ST ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2012, : 3171 - 3176
[25] ON AN ISOLATED EIGENVALUE OF A MATRIX AND THE STRUCTURE OF THE CORRESPONDING EIGENVECTOR
PUPKOV, VA
USSR COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1983, 23 (06): : 14 - 20
[26] On the exact and approximate distributions of the product of a Wishart matrix with a normal vector
Bodnar, Taras
Mazur, Stepan
Okhrin, Yarema
JOURNAL OF MULTIVARIATE ANALYSIS, 2013, 122 : 70 - 81
[27] INDIVIDUAL TRACKING OF AN EIGENVALUE AND EIGENVECTOR OF A PARAMETERIZED MATRIX
KALABA, R
SPINGARN, K
TESFATSION, L
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1981, 5 (04) : 337 - 340
[28] Research of acquiring eigenvector of real symmetric matrix
Luo Feng
He Kun
Wu Shunjun
Proceedings of 2006 CIE International Conference on Radar, Vols 1 and 2, 2006, : 1498 - 1500
[29] EIGENVECTOR SCALING IN A SOLUTION OF MATRIX RICCATI EQUATION
WALTER, OHD
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1970, AC15 (04) : 486 - &
[30] Noise sensitivity of the top eigenvector of a Wigner matrix
Charles Bordenave
Gábor Lugosi
Nikita Zhivotovskiy
Probability Theory and Related Fields, 2020, 177 : 1103 - 1135

← 1 2 3 4 5 →