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Hermitian

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Hermitian
Hermitian, a. Math. (hɜːˈmɪʃən) Also herm-, -ean. [ad. F. hermitien n. and adj. (L. Autonne 1902, in Rendiconti d. Circolo matem. XVI. 104), f. the name of C. Hermite (1822–1905), French mathematician: see -ian.] Applied to a matrix in which pairs of elements symmetrically placed with respect to the... Oxford English Dictionary
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Hermitian function
Since the Fourier transform of a real signal is guaranteed to be Hermitian, it can be compressed using the Hermitian even/odd symmetry. If f is Hermitian, then . Where the is cross-correlation, and is convolution. If both f and g are Hermitian, then . wikipedia.org
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Hermitian manifold
A Hermitian manifold is a complex manifold with a Hermitian metric on its holomorphic tangent bundle. These are Hermitian manifolds for which the Hermitian form is closed: In this case the form ω is called a Kähler form. wikipedia.org
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Hermitian connection
In mathematics, a Hermitian connection is a connection on a Hermitian vector bundle over a smooth manifold which is compatible with the Hermitian metric If is a complex manifold, and the Hermitian vector bundle on is equipped with a holomorphic structure, then there is a unique Hermitian connection whose wikipedia.org
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Hermitian matrix
Sum of Hermitian matrices The sum of any two Hermitian matrices is Hermitian. ABA Hermitian If A and B are Hermitian, then ABA is also Hermitian. wikipedia.org
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Hermitian symmetric space
In mathematics, a Hermitian symmetric space is a Hermitian manifold which at every point has an inversion symmetry preserving the Hermitian structure. Classification Any Hermitian symmetric space of compact type is simply connected and can be written as a direct product of irreducible hermitian symmetric wikipedia.org
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Hermitian Yang–Mills connection
Hermitian Yang–Mills equations Hermite-Einstein connections arise as solutions of the Hermitian Yang-Mills equations. Let be a Hermitian connection on a Hermitian vector bundle over a Kähler manifold of dimension . wikipedia.org
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厄米特矩阵（Hermitian Matrix） - 知乎 - 知乎专栏
酉矩阵. 我们知道正交矩阵满足 \bold Q^ {T}\bold Q=\bold I ，正交矩阵的列是单位正交的列向量。. 将这个定义中的正交用复向量正交代替，我们就有 \bold U^ {H}\bold U=\bold I ，此时的复数矩阵 \bold U 叫 酉矩阵（unitary matrix） ，也叫 幺正矩阵 。. 酉矩阵的向量长度为 1 ...
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Hermitian Morita Theory and Unitary Groups of Modules over Semisimple ...
This article investigates isomorphisms between certain subgroups of the projective unitary groups of hermitian modules over semisimple Artinian rings with anti-structures. These subgroups contain the commutator subgroups of the projective unitary groups. Specifically, the article provides conditions under which these isomorphisms are induced by and the underlying rings are connected by ...
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3.2 埃尔米特转置_hermitian transpose-CSDN博客
Feb 9, 2023对于复矩阵， 转置 又不一样，常见的操作是共轭转置，也叫埃尔米特转置 Hermitian transpose 。. 埃尔米特转置就是对矩阵先共轭，再转置，一般来说用三种符号表示埃尔米特转置：. 第一种符号是. A H A^H. AH ，这是国内教材通用的做法，H是埃尔米特名字首字母 ...
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Skew-Hermitian matrix
is skew-Hermitian if and only if (or equivalently, ) is Hermitian. If is skew-Hermitian, then is Hermitian if is an even integer and skew-Hermitian if is an odd integer. wikipedia.org
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[VASP] VASP能带计算Sub-Space-Matrix is not hermitian in DAV
Dec 10, 2022注册 Register. 结构优化，静态自洽，dos计算都正常结束，能带计算报错： 尝试了网上的各种方法都没能解决，包括：scf计算时加上LMAXMIX = 4；ALGO = Very_fast等。. 被这个问题折磨了好久，不知道大家知不知道怎么解决，输入文件如下： INCAR (744 Bytes, 下载次数 Times of ... bbs.keinsci.com
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Sub-Space-Matrix is not hermitian in DAV - My Community
Sub-Space-Matrix is not hermitian in DAV. thanks for the response. The structures have been generated for doing cluster expansion calculations and their respective energies are obtained in a high-throughput way. (runstruct_vasp in ATAT) I would like to know how to avoid this problem of unreasonable geometry..
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Message of " Sub-Space-Matrix is not hermitian " - My Community
1) if you set USE_ZHEEVX DSYEVX instead of DSYEV is used if gamma_real ZHEEVX ZHEEV all other cases. so it does not only affect the gamma-real version.
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有哪些方法可以求解非厄米（Non-Hermitian）系统的本征值？
如果矩阵M具有Pseudo Hermitian，那么它的谱会满足下面的条件 如果我们要想使谱始终为实，可以对 \eta 作更强的限制 之所以如果矩阵满足 OO^{\dagger}-pseudo-Hermitian 就一定出现实谱，是因为我们可以证明它会相似于厄米矩阵。 ④ quasi-Hermitian 前面的回答里已经提到了quasi-Hermitian，quasi-Hermitian和pseudo-Hermitian的定义有比较小但是很重要的差别。 如果哈密顿量具有quasi-Hermitian，它的谱全为实(前面的回答已经说明了这一点)。 zhihu
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