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Full-Text Articles in Physical Sciences and Mathematics
An Unnoticed Consequence Of Szego's Distribution Theorem, William F. Trench
An Unnoticed Consequence Of Szego's Distribution Theorem, William F. Trench
William F. Trench
No abstract provided.
Inverse Problems For Unilevel Block $\Alpha$-Circulants, William F. Trench
Inverse Problems For Unilevel Block $\Alpha$-Circulants, William F. Trench
William F. Trench
No abstract provided.
Characterization And Properties Of $(R,S_\Sigma)$-Commutative Matrices, William F. Trench
Characterization And Properties Of $(R,S_\Sigma)$-Commutative Matrices, William F. Trench
William F. Trench
No abstract provided.
Asymptotic Preconditioning Of Linear Homogeneous Systems Of Differential Equations, William F. Trench
Asymptotic Preconditioning Of Linear Homogeneous Systems Of Differential Equations, William F. Trench
William F. Trench
No abstract provided.
Functional Perturbations Of Nonoscillatory Second Order Difference Equations, William F. Trench
Functional Perturbations Of Nonoscillatory Second Order Difference Equations, William F. Trench
William F. Trench
No abstract provided.
Characterization And Properties Of $(R,S)$-Symmetric, $(R,S)$-Skew Symmetric, And $(R,S)$-Conjugate Matrices, William F. Trench
Characterization And Properties Of $(R,S)$-Symmetric, $(R,S)$-Skew Symmetric, And $(R,S)$-Conjugate Matrices, William F. Trench
William F. Trench
No abstract provided.
Asymptotic Relationships Between Singular Values Of Structured Matrices Similarly Generated By Different Formal Expansions Of A Rational Function, William F. Trench
Asymptotic Relationships Between Singular Values Of Structured Matrices Similarly Generated By Different Formal Expansions Of A Rational Function, William F. Trench
William F. Trench
No abstract provided.
Simplification And Strengthening Of Weyl's Definition Of Asymptotic Equal Distribution Of Two Families Of Finite Sets, William F. Trench
Simplification And Strengthening Of Weyl's Definition Of Asymptotic Equal Distribution Of Two Families Of Finite Sets, William F. Trench
William F. Trench
No abstract provided.
Spectral Distribution Of Hermitian Toeplitz Matrices Formally Generated By Rational Functions, William F. Trench
Spectral Distribution Of Hermitian Toeplitz Matrices Formally Generated By Rational Functions, William F. Trench
William F. Trench
No abstract provided.
Asymptotically Constant Solutions Of Functional Difference Systems, William F. Trench
Asymptotically Constant Solutions Of Functional Difference Systems, William F. Trench
William F. Trench
No abstract provided.
Systems Of Difference Equations With Asymptotically Constant Solutions, William F. Trench
Systems Of Difference Equations With Asymptotically Constant Solutions, William F. Trench
William F. Trench
No abstract provided.
Conditional Convergence Of Infinite Products, William F. Trench
Conditional Convergence Of Infinite Products, William F. Trench
William F. Trench
No abstract provided.
Linear Asymptotic Equilibrium For Nilpotent Systems Of Difference Equations, William F. Trench
Linear Asymptotic Equilibrium For Nilpotent Systems Of Difference Equations, William F. Trench
William F. Trench
No abstract provided.
Trench's Canonical Form For A Disconjugate $N$Th-Order Linear Difference Equation, William F. Trench, Bennette Harris, Robert Krueger
Trench's Canonical Form For A Disconjugate $N$Th-Order Linear Difference Equation, William F. Trench, Bennette Harris, Robert Krueger
William F. Trench
No abstract provided.
Numerical Solution Of The Inverse Eigenvalue Problem For Real Symmetric Toeplitz Matrices, William F. Trench
Numerical Solution Of The Inverse Eigenvalue Problem For Real Symmetric Toeplitz Matrices, William F. Trench
William F. Trench
No abstract provided.
A Note On Computing Eigenvalues Of Banded Hermitian Toeplitz Matrices, William F. Trench
A Note On Computing Eigenvalues Of Banded Hermitian Toeplitz Matrices, William F. Trench
William F. Trench
No abstract provided.
Global Solutions Of Nonlinear Differential Equations, William F. Trench
Global Solutions Of Nonlinear Differential Equations, William F. Trench
William F. Trench
No abstract provided.
Asymptotic Behavior Of Solutions Of Functionally Perturbed Nonoscillatory Second Order Differential Equations, William F. Trench
Asymptotic Behavior Of Solutions Of Functionally Perturbed Nonoscillatory Second Order Differential Equations, William F. Trench
William F. Trench
No abstract provided.
Spectral Evolution Of A One-Parameter Extension Of A Real Symmetric Toeplitz Matrix, William F. Trench
Spectral Evolution Of A One-Parameter Extension Of A Real Symmetric Toeplitz Matrix, William F. Trench
William F. Trench
No abstract provided.
General Functional Differential Systems With Asymptotically Constant Solutions, William F. Trench
General Functional Differential Systems With Asymptotically Constant Solutions, William F. Trench
William F. Trench
No abstract provided.
Existence Of Solutions Of Functional-Differential Systems With Prescribed Asymptotic Behavior, William F. Trench
Existence Of Solutions Of Functional-Differential Systems With Prescribed Asymptotic Behavior, William F. Trench
William F. Trench
No abstract provided.
Toeplitz Systems Associated With The Product Of A Formal Laurent Series And A Laurent Polynomial, William F. Trench
Toeplitz Systems Associated With The Product Of A Formal Laurent Series And A Laurent Polynomial, William F. Trench
William F. Trench
No abstract provided.
Numerical Solution Of The Eigenvalue Problem For Symmetric Rationally Generated Toeplitz Matrices, William F. Trench
Numerical Solution Of The Eigenvalue Problem For Symmetric Rationally Generated Toeplitz Matrices, William F. Trench
William F. Trench
No abstract provided.
Asymptotic Integration Of A Perturbed Constant Coefficient Differential Equation Under Mild Integral Smallness Conditions, William F. Trench
Asymptotic Integration Of A Perturbed Constant Coefficient Differential Equation Under Mild Integral Smallness Conditions, William F. Trench
William F. Trench
No abstract provided.
Efficient Application Of The Schauder-Tychonoff Theorem To Functional Perturbations Of $X^(N)=0$, William F. Trench
Efficient Application Of The Schauder-Tychonoff Theorem To Functional Perturbations Of $X^(N)=0$, William F. Trench
William F. Trench
No abstract provided.
On The Eigenvalue Problem For A Class Of Band Matrices Including Those With Toeplitz Inverses, William F. Trench
On The Eigenvalue Problem For A Class Of Band Matrices Including Those With Toeplitz Inverses, William F. Trench
William F. Trench
No abstract provided.
Existence Of Global Solutions With Prescribed Asymptotic Behavior For Nonlinear Differential Equations, William F. Trench
Existence Of Global Solutions With Prescribed Asymptotic Behavior For Nonlinear Differential Equations, William F. Trench
William F. Trench
No abstract provided.
On The Eigenvalue Problem For Toeplitz Matrices Generated By Rational Functions, William F. Trench
On The Eigenvalue Problem For Toeplitz Matrices Generated By Rational Functions, William F. Trench
William F. Trench
We give formulas for the characteristic polynomial and eigenvectors of of $n\times n$ Toeplitz matrices generated by a formal Laurent series of a rational function $R(z)$. The formulas are in terms of a certain fixed polynomial with coefficients that are simple functions of $\lambda$ and the coefficients of $R(z)$. The complexity of the formulas is independent of $n$.
Functional Perturbations Of Second Order Differential Equations, William F. Trench
Functional Perturbations Of Second Order Differential Equations, William F. Trench
William F. Trench
No abstract provided.
Explicit Inversion Formulas For Toeplitz Band Matrices, William F. Trench
Explicit Inversion Formulas For Toeplitz Band Matrices, William F. Trench
William F. Trench
No abstract provided.