A Jacobi type Christoffel-Darboux formula for multiple orthogonal polynomials of mixed type

作者：Araznibarreta Gerardo; Manas Manuel^*

来源：Linear Algebra and Its Applications, 2015, 468: 154-170.

DOI：10.1016/j.laa.2014.04.030

• Multiple orthogonal polynomials
• Christoffel-Darboux formula
• Moment matrices
• Jacobi type matrices
• Gauss decomposition

An alternative expression for the Christoffel-Darboux formula for multiple orthogonal polynomials of mixed type is derived from the LU factorization of the moment matrix of a given measure and two sets of weights. We use the action of the generalized Jacobi matrix J, also responsible for the recurrence relations, on the linear forms and their duals to obtain the result.

• 出版日期2015-3-1