INFORMING THE STRUCTURE OF COMPLEX HADAMARD MATRIX SPACES USING A FLOW

FRANCIS C. MOTTA; PATRICK D. SHIPMAN

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INFORMING THE STRUCTURE OF COMPLEX HADAMARD MATRIX SPACES USING A FLOW

机译：使用流程通知复杂Hadamard矩阵空间的结构

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A complex Hadamard matrix H may be isolated or may lie in a higher-dimensional space of Hadamards. We provide an upper bound for this dimension as the dimension of the center subspace of a gradient ow and apply the Center Manifold Theorem of dynamical systems theory to study local structure in spaces of complex Hadamard matrices. Through examples, we provide several applications of our methodology including the construction of affine families of Hadamard matrices.

机译：复杂的Hadamard矩阵H可以被隔离或可以位于Hadamards的高尺寸空间中。我们为该维度提供了一个上限，作为梯度OW的中心子空间的维度，并应用动态系统理论的中心歧管定理，研究复杂Hadamard矩阵空间中的局部结构。通过示例，我们提供了我们的方法论的若干应用，包括建造Hadamard矩阵的仿射族。

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《Discrete and continuous dynamical systems▼hSeries S》 |2019年第8期|2349-2364|共16页
作者
FRANCIS C. MOTTA; PATRICK D. SHIPMAN;
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作者单位

Department of Mathematics Duke University Box 90320 Durham NC 27708-0320 USA;

Colorado State University 1874 Campus Delivery Fort Collins CO 80523-1874 USA;

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正文语种 eng
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关键词
Complex Hadamard matrix; matrix defect; center manifold reduction;

机译：复杂的Hadamard矩阵;矩阵缺陷;中心歧管减少;

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INFORMING THE STRUCTURE OF COMPLEX HADAMARD MATRIX SPACES USING A FLOW

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