A NOTE ON EIGENVALUES OF MATRICES WHICH ARESELF-ADJOINT IN SYMMETRIC BILINEAR FORMS

ZHI-HAO CAO

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A NOTE ON EIGENVALUES OF MATRICES WHICH ARESELF-ADJOINT IN SYMMETRIC BILINEAR FORMS

机译：关于对称双线性形式中自伴矩阵的特征值的一个注记

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In this note we discuss the eigenvalue properties of matrices which are self-adjointin symmetric bilinear forms and point out that an assertion given by Stoll and Wathen in [SIAMJ. Matrix Anal. Appl., 30 (2008), pp. 582-608] is not true.

机译：在本文中，我们讨论了矩阵的特征值属性，这些矩阵是自伴对称双线性形式，并指出Stoll和Wathen在[SIAMJ。矩阵肛门。 Appl。，30（2008），582-608页]是不正确的。

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《SIAM Journal on Matrix Analysis and Applications》 |2009年第4期|共3页
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ZHI-HAO CAO;
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正文语种 eng
中图分类矩阵论;
关键词
eigenvalues; symmetric bilinear forms; symmetric indefinite matrices;

机译：特征值对称双线性形式对称不定矩阵;

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专利

1. A NOTE ON EIGENVALUES OF MATRICES WHICH ARESELF-ADJOINT IN SYMMETRIC BILINEAR FORMS [J] . ZHI-HAO CAO SIAM Journal on Matrix Analysis and Applications . 2009,第4期

机译：关于对称双线性形式中自伴矩阵的特征值的一个注记
2. Tridiagonal canonical matrices of bilinear or sesquilinear forms and of pairs of symmetric, skew-symmetric, or Hermitian forms [J] . Vyacheslav Futorny, Roger A. Horn, Vladimir V. Sergeichuk Journal of Algebra . 2008,第6期

机译：双线性或半线性形式以及成对的对称，倾斜对称或埃尔米特形式的三对角正则矩阵
3. Explicit eigenvalue bounds of differential operators defined by symmetric positive semi-definite bilinear forms [J] . Journal of Computational and Applied Mathematics . 2020,第期

机译：由对称正半定义Bilinear形式定义的差分运算符的显式特征值范围
4. Notes On Some Inequalities of Eigenvalues and Norm of Real Symmetrical Matrices [C] . Xie Qingming, Zhu Li International Conference on Matrix Theory and Its Applications in China . 2006

机译：关于实际对称矩阵特征值和规范的一些不等式的注意事项
5. Relationship between symmetric and skew-symmetric bilinear forms on V = k(n) and involutions of SL(n,k) and SO(n,k,beta) [D] . Dometrius, Christopher Edward 2003

机译：V = k（n）上对称和偏斜对称双线性形式与SL（n，k）和SO（n，k，beta）的对合的关系
6. Remark on Weyls Note Inequalities Between the Two Kinds of Eigenvalues of a Linear Transformation [O] . George Polya 1950

机译：关于Weyl的注释线性变换的两种特征值之间的不等式
7. Tridiagonal canonical matrices of bilinear or sesquilinear forms and of pairs of symmetric, skew-symmetric, or Hermitian forms [O] . FUTORNY, Vyacheslav, HORN, Roger A., SERGEICHUK, Vladimir V. 2008

机译：双线性或半线性形式以及成对的对称，倾斜对称或埃尔米特形式的三对角正则矩阵
8. LAPACK Working Note No. 2: Block Reduction of Matrices to Condensed Forms for Eigenvalue Computations [R] . Dongarra, J. J. , Hammarling, S. J. , Sorensen, D. C. 1987

机译：LapaCK工作注释2：特征值计算的矩阵块缩减为凝聚形式

A NOTE ON EIGENVALUES OF MATRICES WHICH ARESELF-ADJOINT IN SYMMETRIC BILINEAR FORMS

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