Information Linkage Between Applied Mathematics and Industry

1st Edition - January 1, 1980
Editor: Arthur Schoenstadt
Language: English
eBook ISBN:
9 7 8 - 0 - 3 2 3 - 1 5 1 7 4 - 0

Information Linkage between Applied Mathematics and Industry II presents the proceedings of the Second Annual Workshop on the Information Linkage between Applied Mathematics and… Read more

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Information Linkage between Applied Mathematics and Industry II presents the proceedings of the Second Annual Workshop on the Information Linkage between Applied Mathematics and Industry, held in Monterey, California on February 22–24, 1979. This book focuses on the linear systems of equations in practical applications. Comprised of two parts encompassing 29 chapters, this volume starts with an analysis of the undetermined systems of linear algebraic equations that are frequently encountered in solving physical problems. This book then discusses the guiding principles of the methods used to stabilize the problem against ill-conditioning and rank deficiency. This text explains the methods that are developed to solve the typical radiation spectrum unfolding problems. Other chapters describe the mathematical technique that is the basis of unfolding code called FERD. Finally, the reader is introduced to integral and differential equations by using a point-by-point approach. Mathematicians, engineers, researchers, and students will find this book extremely useful.

Contributors

Preface

Invited Papers

Constrained Interval Estimation for Linear Models with Ill-Conditioned Equations

Robust Stability of Linear Systems: Engineering Motivation

Robust Stability of Linear Systems—Some Computational Considerations

Elliptic Equations in Meteorology

Software for Elliptic Partial Differential Equations

Contributed Papers and Abstracts of Contributed Papers

Theory and Computation of Linear Systems

Block Diagonalization of Ill-Conditioned Matrices

Applications of Exact Inversion of Arbitrarily Ill-Conditioned Matrices

Out of Core Gram-Schmidt Orthogonalization for Computers with Limited Capacity

Matrix Evaluation of Product-Type Quadrature Coefficients

Solving Equations Exactly on Illiac IV

An Improved Determination of the Characteristic Polynomial for the Standard Eigenvalue Problem

Least Squares, Regression, and Systems Identification

Aeromagnetic Compensation as a Linear Regression Problem

Calculation of Response Correlation Matrices for Aircraft Subject to Three-dimensional Turbulence

A New Parallel Identification Algorithm for Linear Time-Invariant Systems: Preliminary Results

Two-Dimensional Power Series Approximation of Equation-of-State Surfaces

Linear Regression with Optimal +1 ,0 , -1 Weights: Statistical and Computational Theory

Applications in Controls

Decoupling and Order Reduction of Two-time-Scale Control Systems

On the Application of Matrix Generalized Inverses to the Determination of Unknown Inputs of Linear Control Systems

Computer-Aided Formal Design of Linear Systems Theodore Mairson

Application of the Ricatti Equation to Finding Initial Values In Ill-Conditioned Control Systems

On Solution of Linear Time-Varying Systems

General Applications

Generalized Tensors and Matrices

An Analysis Program for Beam-Slab on Elastic Foundation

COOP, Program for Comprehensive Optimization of Solutions of Ordinary Differential Equations by Conjugate Gradient Descent

Two-Dimensional Digital Filtering Using Transforms over Extensions of Finite Rings

The Determination of Adsorption Energy Distributions

A Finite Element Method Analysis of the Earth Anchor-Soil System

Approximation Algorithm Using Function and Derivative Values

Deconvolution of Spectral-Dependent Measurements