scientific article

zbMath0529.30032MaRDI QIDQ3310894

Yuriy M. Dyukarev

Publication date: 1982

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

matrix inequalitiesprincipal matrix inequalities

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Moment problems and interpolation problems in the complex plane (30E05) Linear operators on spaces with an indefinite metric (47B50)

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Carathéodory sequence parametrizations of Potapov-normalized full-rank \(J_ q\)-elementary factors ⋮ On resolvent matrices for nondegenerate matricial Schur problems ⋮ On truncated matricial Stieltjes type moment problems ⋮ A generalized Stieltjes criterion for the complete indeterminacy of interpolation problems ⋮ Transformations of matricial \({\alpha}\)-Stieltjes non-negative definite sequences ⋮ Complete indeterminacy of the Nevanlinna-Pick problem in the class \(S[a,b\)] ⋮ On resolvent matrix, Dyukarev-Stieltjes parameters and orthogonal matrix polynomials via \([0, \infty)\)-Stieltjes transformed sequences ⋮ A Potapov-Type Approach to a Truncated Matricial Stieltjes-Type Power Moment Problem ⋮ A Closer Look at the Solution Set of the Truncated Matricial Moment Problem "Equation missing" ⋮ On a simultaneous approach to the even and odd truncated matricial Stieltjes moment problem I: an \(\alpha\)-Schur-Stieltjes-type algorithm for sequences of complex matrices ⋮ A Schur-Nevanlinna type algorithm for the truncated matricial Hausdorff moment problem ⋮ On several types of resolvent matrices of nondegenerate matricial Carathéodory problems ⋮ Schur-sequence parametrizations of Potapov-normalized full-rank \(j_{pq}\)-elementary factors

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