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<p>We prove that certain three-row almost Hermitian incidence matrices are regular, that is, the associated Birkhoff interpolation problem with algebraic polynomials possesses a unique solution. Our proof is based on investigation of certain quadratic forms of specific Jacobi polynomials and their derivatives.</p>

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On the Regularity of Certain Three-Row Almost Hermitian Incidence Matrices

  • 期刊论文

  • 发表日期：

    2025年5月16日

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  • Borislava Konstantinova,
  • Geno Nikolov

摘要

We prove that certain three-row almost Hermitian incidence matrices are regular, that is, the associated Birkhoff interpolation problem with algebraic polynomials possesses a unique solution. Our proof is based on investigation of certain quadratic forms of specific Jacobi polynomials and their derivatives.