Aaron Melman

28 papers Journal 28
YearRankTypeTitle / Venue / Authors
2024 J jnl
An efficient approximation to the Cauchy radius.
Numer. Algorithms
Aaron Melman
2022 J jnl
Polynomials Whose Zeros Are Powers of a Given Polynomial's Zeros.
Am. Math. Mon.
Aaron Melman
2022 J jnl
Root finding techniques that work.
CoRR
Aaron Melman
2021 J jnl
An octagon containing the numerical range of a bounded linear operator.
CoRR
Aaron Melman
2021 J jnl
Zero Exclusion Sectors for Some Polynomials with Structured Coefficients.
Am. Math. Mon.
Aaron Melman
2018 J jnl
Eigenvalue bounds for matrix polynomials in generalized bases.
Math. Comput.
Aaron Melman
2018 J jnl
Optimality of a Polynomial Multiplier.
Am. Math. Mon.
Aaron Melman
2016 J jnl
On Pellet's Theorem for a class of lacunary polynomials.
Math. Comput.
Aaron Melman
2014 J jnl
Implementation of Pellet's theorem.
Numer. Algorithms
Aaron Melman
2013 J jnl
The Twin of a Theorem by Cauchy.
Am. Math. Mon.
Aaron Melman
2012 J jnl
Modified Gershgorin Disks for Companion Matrices.
SIAM Rev.
Aaron Melman
2009 J jnl
Overshooting Properties of Newton-Like and Ostrowski-Like Methods.
Am. Math. Mon.
Aaron Melman
2008 J jnl
Bounds on the Zeros of the Derivative of a Polynomial with All Real Zeros.
Am. Math. Mon.
Aaron Melman
2007 J jnl
The double-step Newton method for polynomials with all real zeros.
Appl. Math. Lett.
Aaron Melman
2006 J jnl
An Optimization Framework for Polynomial Zerofinders.
Am. Math. Mon.
Aaron Melman, Bill Gragg
2006 J jnl
Computation of the Newton step for the even and odd characteristic polynomials of a symmetric positive definite Toeplitz matrix.
Math. Comput.
Aaron Melman
2004 J jnl
Computation of the Smallest Even and Odd Eigenvalues of a Symmetric Positive-Definite Toeplitz Matrix.
SIAM J. Matrix Anal. Appl.
Aaron Melman
2001 J jnl
Extreme eigenvalues of real symmetric Toeplitz matrices.
Math. Comput.
Aaron Melman
2001 J jnl
The Even-Odd Split Levinson Algorithm for Toeplitz Systems.
SIAM J. Matrix Anal. Appl.
Aaron Melman
2000 J jnl
A recurrence relation for singular real symmetric Toeplitz matrices.
IEEE Trans. Signal Process.
Aaron Melman
2000 J jnl
An Efficient Method for a Class of Continuous Nonlinear Knapsack Problems.
SIAM Rev.
Aaron Melman, Gad Rabinowitz
2000 J jnl
Bounds on the Extreme Eigenvalues of Real Symmetric Toeplitz Matrices.
SIAM J. Matrix Anal. Appl.
Aaron Melman
1998 J jnl
Analysis of third-order methods for secular equations.
Math. Comput.
Aaron Melman
1997 J jnl
A unifying convergence analysis of second-order methods for secular equations.
Math. Comput.
Aaron Melman
1997 J jnl
Classroom Note: Geometry and Convergence of Euler's and Halley's Methods.
SIAM Rev.
Aaron Melman
1996 J jnl
A Linesearch Procedure in Barrier Methods for Some Convex Programming Problems.
SIAM J. Optim.
Aaron Melman
1996 J jnl
The Newton modified barrier method for QP problems.
Ann. Oper. Res.
Aaron Melman, R. Polyak
1994 J jnl
A new linesearch method for quadratically constrained convex programming.
Oper. Res. Lett.
Aaron Melman