Two-square theorems for infinite matrices on certain fields

Cites Work

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On dominating sequence method in the point estimate and Smale's theorem
Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains
Extraneous fixed points, basin boundaries and chaotic dynamics for Schröder and König rational iteration functions
Families of rational maps and iterative root-finding algorithms
Strong uniqueness and second order convergence in nonlinear discrete approximation
Convergence of the iteration of Halley's family and Smale operator class in Banach space
Convergence on the iteration of Halley family in weak conditions
Estimations for the separation number of a polynomial system
Definite version on precise point estimate
Convergence of iterations of Euler family under weak condition
Extraneous fixed points of Euler iteration and corresponding Sullivan's basin
A Gauss-Newton method for convex composite optimization
Local properties of algorithms for minimizing nonsmooth composite functions
On the efficiency of algorithms of analysis
The fundamental theorem of algebra and complexity theory
Convergence and Complexity of Newton Iteration for Operator Equations
Convergence of Newton’s method and inverse function theorem in Banach space
Approximate Zeros of Quadratically Convergent Algorithms
COMPLEXITY AND REAL COMPUTATION: A MANIFESTO
Convergence of Newton's method and uniqueness of the solution of equations in Banach space
Some remarks on Smale's “Algorithms for solving equations”
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