A Unified Treatment for the Matrix Stieltjes Moment Problem in Both Nondegenerate and Degenerate Cases

Chen, Gong-Ning; Hu, Yongjian

doi:10.1006/jmaa.2000.7195

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2005

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Cited by 13 publications

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General Solution of the Stieltjes Truncated Matrix Moment Problem

Adamyan¹,

Ткаченко²

2005

Operator Theory and Indefinite Inner Product Spaces

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Abstract. The description of all solutions of the truncated Stieltjes matrix moment problem consisting in finding all s × s matrix measures dσ (t) on [0, ∞) with given first 2n + 1 power s × s matrix moments (Cj ) n j=0 is obtained in a general case, when the block Hankel matrix Γn := (C j+k ) n j,k=0 may be non-invertible. Special attention is paid to the description of canonical solutions for which dσ (t) is a sum of at most sn + s point matrix "masses" with the minimal sum of their ranks. Mathematics Subject Classification (2000). Primary 30E05, 30E10; Secondary 82C70, 82D10.

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