. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 Matrix Algebra 2.1 Terminology . . . . . . . . . . . . . . . . . 2.2 Matrix Multiplication . . . . . . . . . . . 2.3 Trace . . . . . . . . . . . . . . . . . . . . . 2.4 Inverse . . . . . . . . . . . . . . . . . . . . 2.5 Eigenvalues . . . . . . . . . . . . . .
Premium Regression analysis Linear algebra
by making use of important geometric and econometric concepts such as a ‘linear manifold’‚ a ‘plane of support’‚ a ‘projection matrix’‚ ‘linearly estimable parametric functions’‚ ‘minimum variance estimators’ and ‘linear transformations’‚ seeks to explore the role of a Concentration Ellipsoid as a geometric tool in the interpretation of certain key econometric results connected with the efficiency of estimators of the linear regression model and thereby present these econometric results in a whole
Premium Linear algebra
Mathematics Department King’s College London London‚ WC2R 2LS‚ UK ivan.wilde@kcl.ac.uk www.jntuworld.com www.jntuworld.com www.jwjobs.net Contents 1 Matrix Memory . . . . . . . . . . . . . . . . . . . . . . . . . . 1 2 Adaptive Linear Combiner .................... 21 3 Artificial Neural Networks .................... 35 .......................... 45 5 Multilayer Feedforward Networks . . . . . . . . . . . . . . . . . 75 6 Radial Basis Functions 95
Premium Linear algebra
CLAS 133A‚ Greek Art December 6‚ 2006 Ancient Crete: The Double-Axe and Minoan Linear A MFA object # 58.1009 Votive Double Axe Late Minoan I A‚ about 1550-1500 B.C.E From the Arkalochori Cave on Crete Gold When Heinrich Schliemann with his literal belief in Homer discovered Hissarlik (his Troy) and Mycenae‚ he opened up a whole new idea in classical archaeology- that of myths being reality. Before his discoveries‚ the earliest recorded date in Greek history was the 778 B.C.E- the
Premium Minoan civilization Linear B
Linear Programming Concept Paper There are two types of linear programming: 1. Linear Programming- involves no more than 2 variables‚ linear programming problems can be structured to minimize costs as well as maximize profits. Due to the increasing complexity of business organizations‚ the role of the management executive as a decision maker is becoming more and more difficult. Linear programming is a useful technique to solve such problems. The necessary condition is that the data must be
Premium Optimization Linear programming Operations research
optimal investment strategy that would allow J. D. Williams‚ Inc. to maximize the annual yield of an investment of $800‚000 in a diversified portfolio of funds. To find the investment that would result in the greatest annual yield we have formulated a linear program that takes into account the requirements for the client of J. D. Williams‚ Inc. The requirements for the investment portfolio can be found on the section titled “Problem Description” The greatest annual yield that can be expected while
Premium Investment Optimization Mutual fund
Linear Programming Application Transportation Problem The Navy has 9‚000 pounds of material in Albany‚ Georgia that it wishes to ship to three installations: San Diego‚ Norfolk‚ and Pensacola. They require 4‚000‚ 2‚500‚ and 2‚500 pounds‚ respectively. Government regulations require equal distribution of shipping among the three carriers. The shipping costs per pound for truck‚ railroad‚ and airplane transit are shown below. Formulate and solve a linear program to determine the shipping
Premium Optimization Linear programming Operations research
Proceedings of the 2010 International Conference on Industrial Engineering and Operations Management Dhaka‚ Bangladesh‚ January 9 – 10‚ 2010 Application of Integer Linear Programming Model for Vendor Selection in a Two Stage Supply Chain A. John Rajan Department of Mechanical and Production Engineering Sathyabama University‚ Chennai‚ India K. Ganesh Senior consultant‚ Global Business Services‚ IBM India Private Limited‚ Mumbai‚ India K.V. Narayanan Controller of Examinations‚ Sathyabama
Premium Optimization Linear programming Operations research
blind (or group-blind) linear multiuser detection‚ the detector is estimated from the received signals‚ with the prior knowledge of only the signature waveform of the desired user (or the signature waveforms of some but not all users). The performance of a number of such estimated linear detectors‚ including the direct-matrix-inversion (DMI) blind linear minimum mean square error (MMSE) detector‚ the subspace blind linear MMSE detector‚ and the form-I and form-II group-blind linear hybrid detectors‚ are
Premium Signal processing Variance Linear algebra
------------------------------------------------- Applications [edit]Linear independence As mentioned above‚ the determinant of a matrix (with real or complex entries‚ say) is zero if and only if the column vectors of the matrix are linearly dependent. Thus‚ determinants can be used to characterize linearly dependent vectors. For example‚ given two linearly independent vectors v1‚ v2 in R3‚ a third vector v3 lies in the plane spanned by the former two vectors exactly if the determinant of the
Premium Linear algebra Derivative