Newton's method and secant methods: a longstanding relationship from vectors to matrices
DOI10.4171/PM/1901zbMath1248.65051OpenAlexW1981217254MaRDI QIDQ658578
Marcos Raydan, Marlliny Monsalve
Publication date: 13 January 2012
Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/pm/1901
Newton's methodRiccati equationsecant methodquadratic equationmatrix exponentialmatrix inversereview papermatrix logarithmmatrix \(p\)-th rootmatrix rational equationnonlinear matrix problemssign of a matrix
Newton-type methods (49M15) Numerical computation of solutions to systems of equations (65H10) Methods of quasi-Newton type (90C53) Nonlinear differential equations in abstract spaces (34G20) Matrix equations and identities (15A24) Matrix exponential and similar functions of matrices (15A16)
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