Aaron Melman

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Online Matlab/Octave tutorial to help non-computer science engineering students improve programming skills

Maria Pantoja, Drazen Fabris, Aaron Melman, 2017 .

Bounds on the Extreme Eigenvalues of Real Symmetric Toeplitz Matrices

Aaron Melman, 2000, SIAM J. Matrix Anal. Appl..

Overshooting Properties of Newton-Like and Ostrowski-Like Methods

Aaron Melman, 2009, Am. Math. Mon..

A new linesearch method for quadratically constrained convex programming

Aaron Melman, A. Melman, 1994, Oper. Res. Lett..

On Pellet's Theorem for a class of lacunary polynomials

Aaron Melman, A. Melman, 2015, Math. Comput..

Analysis of third-order methods for secular equations

Aaron Melman, A. Melman, 1998, Math. Comput..

Extreme eigenvalues of real symmetric Toeplitz matrices

Aaron Melman, 2001, Math. Comput..

Optimality of a Polynomial Multiplier

Aaron Melman, 2018, Am. Math. Mon..

Computation of the Smallest Even and Odd Eigenvalues of a Symmetric Positive-Definite Toeplitz Matrix

Aaron Melman, 2004, SIAM J. Matrix Anal. Appl..

A Linesearch Procedure in Barrier Methods for Some Convex Programming Problems

Aaron Melman, 1996, SIAM J. Optim..

The Even-Odd Split Levinson Algorithm for Toeplitz Systems

Aaron Melman, 2001, SIAM J. Matrix Anal. Appl..

Computation of the Newton step for the even and odd characteristic polynomials of a symmetric positive definite Toeplitz matrix

Aaron Melman, 2006, Math. Comput..

A unifying convergence analysis of second-order methods for secular equations

Aaron Melman, A. Melman, 1997, Math. Comput..

An Optimization Framework for Polynomial Zerofinders

Aaron Melman, Bill Gragg, A. Melman, 2006, Am. Math. Mon..

Bounds on the Zeros of the Derivative of a Polynomial with All Real Zeros

Aaron Melman, 2008, Am. Math. Mon..

A recurrence relation for singular real symmetric Toeplitz matrices

Aaron Melman, 2000, IEEE Trans. Signal Process..

Implementation of Pellet’s theorem

Aaron Melman, 2013, Numerical Algorithms.

Modified Gershgorin Disks for Companion Matrices

Aaron Melman, 2012, SIAM Rev..

Eigenvalue bounds for matrix polynomials in generalized bases

Aaron Melman, 2018, Math. Comput..

The Twin of a Theorem by Cauchy

Aaron Melman, 2013, Am. Math. Mon..

The Newton modified barrier method for QP problems

Aaron Melman, R. Polyak, R. Polyak, 1996, Ann. Oper. Res..

The double-step Newton method for polynomials with all real zeros

Aaron Melman, 2007, Appl. Math. Lett..

An octagon containing the numerical range of a bounded linear operator pdf

Aaron Melman, A. Melman, 2021, ArXiv.

Zero Exclusion Sectors for Some Polynomials with Structured Coefficients

Aaron Melman, 2021, Am. Math. Mon..

Generalization and variations of Pellet's theorem for matrix polynomials

Aaron Melman, A. Melman, 2012, 1210.0172.

Ovals of Cassini for Toeplitz matrices

Aaron Melman, 2012 .

Symmetric centrosymmetric matrix-vector multiplication

Aaron Melman, 2000 .

Generalizations of Gershgorin disks and polynomial zeros

Aaron Melman, A. Melman, 2010 .

Spectral functions for real symmetric Toeplitz matrices

Aaron Melman, 1998 .