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On inversion of square matrices partitioned into non-square blocks

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Abstract

Inversion theorems for structured block matrices with non-square blocks are presented. The considered classes contain Toeplitz, Toeplitz plus Hankel and Van der Monde type matrices.

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References

  1. A. Ben-Artzi and T. Shalom: On inversion of Toeplitz and close to Toeplitz matrices. Lin. Alg. and Appl. 75, 173–192 (1986).

    Google Scholar 

  2. A. Ben-Artzi and T. Shalom: On inversion of block Toeplitz matrices. Integral Eq. and Oper. Th. 8 (1985), 751–779.

    Google Scholar 

  3. I. C. Gohberg and G. Heinig: Inversion of finite-section Toeplitz matrices consisting of elements of non-commutative algebra. Rev. Roum. Math. Pures et Appl. 19, 5 (1974), 623–663 [Russian].

    Google Scholar 

  4. I. Gohberg and T. Shalom: On Bezoutian of non-square matrix polynomials and inversion of matrices with non-square blocks. (in press).

  5. L. Lerer and M. Tismenetsky: Generalized Bezoutians and the inversion problem for block matrices, I. General Scheme. Integral Eq. and Oper. Th. 9 (1986), 790–819.

    Google Scholar 

  6. L. Lerer and M. Tismenetsky: Toeplitz classification of matrices and inversion formulas. II. Block Toeplitz and perturbed block Toeplitz Matrices. TR88. 197, IBM-Israel Scientific Center, Haifa, Aug. 1986.

    Google Scholar 

  7. A. L. Sahnovic: On a method of inversion of finite Toeplitz matrices. Mat. Issled. 8(4) (1973), 180–186 [Russian].

    Google Scholar 

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Gohberg, I., Shalom, T. On inversion of square matrices partitioned into non-square blocks. Integr equ oper theory 12, 539–566 (1989). https://doi.org/10.1007/BF01199458

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