Principal pivot transforms: properties and applications

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dc.creatorTsatsomeros, Michael
dc.date1998-07-23
dc.date.accessioned2026-07-07T06:32:59Z
dc.date.available2026-07-07T06:32:59Z
dc.descriptionThe principal pivot transform (PPT) of a matrix A partitioned relative to an invertible leading principal submatrix is a matrix B such that A [x_1^T x_2^T]^T = [y_1^T y_2^T]^T if and only if B [y_1^T x_2^T]^T = [x_1^T y_2^T]^T, where all vectors are partitioned conformally to A. The purpose of this paper is to survey the properties and manifestations of PPTs relative to arbitrary principal submatrices, make some new observations, present and possibly motivate further applications of PPTs in matrix theory. We pay special attention to PPTs of matrices whose principal minors are positive.
dc.description12 pages, LaTex2e file
dc.identifierhttps://arxiv.org/abs/math/9807132
dc.identifierhttp://arxiv.org/abs/math/9807132
dc.identifierLinear Algebra and Its Applications, 300:151-165, 2000
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99043
dc.subjectRings and Algebras
dc.subject15A06; 15A09; 15-02; 90C33
dc.titlePrincipal pivot transforms: properties and applications
dc.typetext

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