Generalized Gohberg-Semencul Formulas for Matrix Inversion.

机译：矩阵求逆的广义Gohberg-semencul公式。

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摘要

We give a constructive and elementary proof of the Gohberg-Semencul formula for the inverse of a Toeplitz matrix. Our approach suggests a natural generalization of the formula to matrices with displacement structure. Keywords: Toeplitz matrices; Hermitian matrices; Schur complements; Displacement representations; Linear algebra; and Matrices(mathematics), Reprints. (JG)

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Kailath, T.; Chun, J.;
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年度 1989
页码 1-17
总页数 17
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Linear algebra; Matrices(Mathematics); Displacement; Reprints;

机译：线性代数;矩阵（数学）;位移;重印;

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2. Gohberg-Semencul type formulas via embedding of Lyapunov equations (signal processing) [J] . Pal D. IEEE Transactions on Signal Processing . 1993,第6期

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3. Generalized Duty-Ratio-Based Pulsewidth Modulation Technique for a Three-to- $k$ Phase Matrix Converter [J] . Ahmed S. M., Iqbal A., Abu-Rub H. Industrial Electronics, IEEE Transactions on . 2011,第9期

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7. A constructive proof of the Gohberg-Semencul formula [O] . Chun J., Kailath T. 1989

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8. Formulas for Updating the Generalized Inverse of a Symmetric Matrix Perturbed by a Symmeric Rank Two Matrix Composed of Two Nonsymmetric DYADS [R] . Leaver, S. G., McCormick, G. P. 1984

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Generalized Gohberg-Semencul Formulas for Matrix Inversion.

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