Information linkage between applied mathematics and industry 2 proceedings of the second annual workshop on the information linkage between applied mathematics and industry, Naval Postgraduate School, Monterey, California, February 22-24, 1979

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. Content: Front Matter , Page iii Copyright , Page iv NAVAL POSTGRADUATE SCHOOL SESSION CHAIRMEN , Page vii CONTRIBUTORS , Pages ix-x PREFACE , Pages xi-xii , Arthur L. Schoenstadt CONSTRAINED INTERVAL ESTIMATION FOR LINEAR MODELS WITH ILL-CONDITIONED EQUATIONS , Pages 1-38 , W.R. Burrus, B.W. Rust, J.E. Cope ROBUST STABILITY OF LINEAR SYSTEMS: ENGINEERING MOTIVATION , Pages 39-56 , G. Stein ROBUST STABILITY OF LINEAR SYSTEMS–SOME COMPUTATIONAL CONSIDERATIONS , Pages 57-84 , Alan J. Laub ELLIPTIC EQUATIONS IN METEOROLOGY , Pages 85-104 , Thomas E. Rosmond SOFTWARE FOR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS , Pages 105-113 , Roland A. Sweet BLOCK DIAGONALIZATION OF ILL-CONDITIONED MATRICES , Page 115 , John Jones Jr. APPLICATIONS OF EXACT INVERSION OF ARBITRARILY ILL-CONDITIONED MATRICES , Page 117 , Roy B. Leipnik OUT OF CORE GRAM-SCHMIDT ORTHOGONALIZATION FOR COMPUTERS WITH LIMITED CAPACITY , Pages 119-123 , James W. Longley, John B. Dash MATRIX EVALUATION OF PRODUCT-TYPE QUADRATURE COEFFICIENTS , Pages 125-134 , Joseph F. McGrath SOLVING EQUATIONS EXACTLY ON ILLIAC IV , Page 135 , Morris Newman AN IMPROVED DETERMINATION OF THE CHARACTERISTIC POLYNOMIAL FOR THE STANDARD EIGENVALUE PROBLEM , Page 137 , Richard W. Young AEROMAGNETIC COMPENSATION AS A LINEAR REGRESSION PROBLEM , Pages 139-161 , Barrie W. Leach CALCULATION OF RESPONSE CORRELATION MATRICES FOR AIRCRAFT SUBJECT TO THREE-DIMENSIONAL TURBULENCE , Pages 163-177 , Uy-Loi Ly A NEW PARALLEL IDENTIFICATION ALGORITHM FOR LINEAR TIME-INVARIANT SYSTEMS: PRELIMINARY RESULTS , Pages 179-192 , J. Gary Reid TWO-DIMENSIONAL POWER SERIES APPROXIMATION OF EQUATION-OF-STATE SURFACES , Page 193 , Horst P. Richter LINEAR REGRESSION WITH OPTIMAL +1, 0, and −1 WEIGHTS: STATISTICAL AND COMPUTATIONAL THEORY , Page 195 , Peter M. Bentier, J. Arthur Woodward DECOUPLING AND ORDER REDUCTION OF TWO-TIME-SCALE CONTROL SYSTEMS , Pages 197-213 , Leonard R. Anderson ON THE APPLICATION OF MATRIX GENERALIZED INVERSES TO THE DETERMINATION OF UNKNOWN INPUTS OF LINEAR CONTROL SYSTEMS , Pages 215-220 , Victor Lovass-Nagy, David L. Powers, Rangaswamy Mukundan COMPUTER AIDED FORMAL DESIGN OF LINEAR SYSTEMS , Page 221 , Theodore Mairson APPLICATION OF THE RICATTI EQUATION TO FINDING INITIAL VALUES IN ILL-CONDITIONED CONTROL SYSTEMS , Pages 223-232 , A. Shamaly, G.S. Christensen, M.E. El-Hawary ON SOLUTION OF LINEAR TIME-VARYING SYSTEMS , Pages 233-248 , Min-Yen Wu GENERALIZED TENSORS AND MATRICES , Pages 249-250 , S.F. Borg AN ANALYSIS PROGRAM FOR BEAM-SLAB ON ELASTIC FOUNDATION , Page 251 , Chung-Yen Chiu COOP, A PROGRAM FOR COMPREHENSIVE OPTIMIZATION OF SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS BY CONJUGATE GRADIENT DESCENT , Pages 253-267 , Horst W. Kriebel TWO-DIMENSIONAL DIGITAL FILTERING USING TRANSFORMS OVER EXTENSIONS OF FINITE RINGS , Pages 269-278 , David P. Maher THE DETERMINATION OF ADSORPTION ENERGY DISTRIBUTIONS , Pages 279-280 , P.H. Merz A FINITE ELEMENT METHOD ANALYSIS OF THE EARTH ANCHOR-SOIL SYSTEM , Page 281 , Luis A. Prieto-Portar APPROXIMATION ALGORITHM USING FUNCTION AND DERIVATIVE VALUES , Pages 283-284 , Horst P. Richter DECONVOLUTION OF SPECTRAL-DEPENDENT MEASUREMENTS , Pages 285-293 , Horst P. Richter