Indefinite Linear Algebra and Applications
Indefinite Linear Algebra and Applications
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DOI：
10.1007/b137517
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发表时间：
2005-12
期刊：
影响因子：
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通讯作者：
I. Gohberg;P. Lancaster;L. Rodman
中科院分区：
文献类型：
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作者：
I. Gohberg;P. Lancaster;L. Rodman
这本书涵盖了具有不定内积的线性代数的最新结果。它包括对具有对称性的微分方程组和差分方程组、矩阵多项式和Riccati方程的应用。这些应用是基于具有不定内积的空间中的线性代数。后者形成了线性代数的一个独立分支，称为不定线性代数。这门新课程遵循了标准线性代数课程的原则。
This book covers recent results in linear algebra with indefinite inner product. It includes applications to differential and difference equations with symmetries, matrix polynomials and Riccati equations. These applications are based on linear algebra in spaces with indefinite inner product. The latter forms an independent branch of linear algebra called indefinite linear algebra. This new subject is presented following the principles of a standard linear algebra course.