Some applications of optimization in matrix theory

DOI10.1016/0024-3795(81)90143-9zbMath0472.90078OpenAlexW2076767912WikidataQ94994177 ScholiaQ94994177MaRDI QIDQ1158352

Henry Wolkowicz

Publication date: 1981

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(81)90143-9

zbMATH Keywords

Lagrange multipliersduality gapFarkas' lemmalinear programming over conesmatrix best approximation

Mathematics Subject Classification ID

Convex programming (90C25) Matrix equations and identities (15A24) Best approximation, Chebyshev systems (41A50) Programming in abstract spaces (90C48) Methods involving semicontinuity and convergence; relaxation (49J45) Duality theory for topological vector spaces (46A20) Topological linear spaces and related structures (46A99)

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Cites Work

• Regularizing the abstract convex program
• Cones of diagonally dominant matrices
• Linear equations and inequalities on finite dimensional, real or complex, vector spaces: a unified theory
• Cones, matrices and mathematical programming
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