The Jordan Canonical Forms of complex orthogonal and skew-symmetric matrices
نویسندگان
چکیده
منابع مشابه
The Jordan Canonical Forms of complex orthogonal and skew-symmetric matrices: characterization and examples
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Exponentials of skew-symmetric matrices and logarithms of orthogonal matrices
The authors show that there is a generalization of Rodrigues’ formula for computing the exponential map exp: so(n)→SO(n) from skewsymmetric matrices to orthogonal matrices when n ≥ 4, and give a method for computing some determination of the (multivalued) function log: SO(n) → so(n). The key idea is the decomposition of a skew-symmetric n×n matrix B in terms of (unique) skew-symmetric matrices ...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1999
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(99)00199-8