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Class 708/446 - Solving equation


Subclass of Class 708 - Electrical computers: arithmetic processing and calculating
Definition: Subject matter wherein the specialized function performed
No. of applications: 118
Last issue date: 05/24/2012


1      
Application No.Application TitleIssue Date
20120127893APPARATUS AND METHOD FOR USING AND SOLVING LINEAR PROGRAMMING PROBLEM AND APPLICATIONS THEREOF
Method and system for analyzing a linear programming problem or any other problem involving inequalities constraints set relating to multiple variables. An initial feasible region is calculated based on a sub-set of the constraints set. The feasible region is updated ba...
05/24/2012
20120041728COMPUTER IMPLEMENTED TOOL BOX SYSTEMS AND METHODS
According to the preferred embodiments, a system or method is provided that involves the programming of a computer or other processing device with a software, hardware or firmware configured to create a processing tool (i.e., referred to herein as a tool box) that can b...
02/16/2012
20110295920Computer-Implemented Symbolic Polynomial Factorization
An input polynomial, in symbolic form, is received, classified, pre-processed, and factored. The input polynomial is classified as a constant, a univariate polynomial, or a multivariate polynomial. Various pre-processing is performed depending on the classification. Aft...
12/01/2011
20110295918Method of evaluating a function and associated device
A method for evaluating a function of a finite field of characteristic p into itself, for an element x of the field, uses an evaluation, for the element x, of a polynomial formed by a plurality of monomials. The evaluation of the polynomial includes the following steps:...
12/01/2011
20110282925DIRECTIONAL OPTIMIZATION VIA EBW
An optimization system and method includes determining a best gradient as a sparse direction in a function having a plurality of parameters. The sparse direction includes a direction that maximizes change of the function. This maximum change of the function is determine...
11/17/2011
20110238720SOLVING LINEAR MATRICES IN AN INTEGRATED CIRCUIT DEVICE
Circuitry for solving linear matrix equations involving a resultant matrix, an unknown matrix and a product matrix that is a product of the resultant matrix and the unknown matrix includes matrix decomposition circuitry for triangulating an input matrix to create a resu...
09/29/2011
20110200188Method of performing cipher block chaining using elliptic polynomial cryptography
The method of performing cipher block chaining using elliptic polynomial cryptography allows for the encryption of messages through elliptic polynomial cryptography and, particularly, with the utilization of cipher block chaining based upon both the elliptic polynomial ...
08/18/2011
20110196907RECONFIGURABLE NETWORKED PROCESSING ELEMENTS PARTIAL DIFFERENTIAL EQUATIONS SYSTEM
A method for using a system to compute a solution to a partial differential equation (PDE) broadly comprises the steps of determining the true accuracy required (TAR) to solve the PDE, determining an architecture according to the TAR that performs a plurality of calcula...
08/11/2011
20110191400L1 Projections with Box Constraints
Similarities between simplex projection with upper bounds and L1 projection are explored. Criteria for a-priori determination of sequence in which various constraints become active are derived, and this sequence is used to develop efficient algorithms for pro...
08/04/2011
20110185002DEFINITION OF UNIVERSAL CONSTANTS BY POSITIVE INTEGERS
A method is given to facilitate discovery of the positive integers which may be the numerator and denominator which form the basis of some universal constants. Solutions are given for both π, the ratio of the circumference of a circle to its diameter, and ε, the base ...
07/28/2011
20110055301ALIGNMENT OF MULTIPLE LIQUID CHROMATOGRAPHY-MASS SPECTROMETRY RUNS
The problem of aligning multiple liquid chromatography mass spectrometry (LC-MS) runs to a common reference time frame is solved to facilitate comparison among LC-MS runs. The alignment of multiple LCMS can be achieved by solving a sparse system of linear equations to o...
03/03/2011
20110046927FAST ITERATIVE METHOD FOR PROCESSING HAMILTON-JACOBI EQUATIONS
A system and method are provided for a parallel processing of the Hamilton-Jacobi equation. A numerical method is provided to solve the Hamilton-Jacobi equation that can be used with various parallel architectures and an improved Godunov Hamiltonian computation,...
02/24/2011
20110047201SYSTEMS, METHODS AND APPARATUS FOR FACTORING NUMBERS
Systems, methods and apparatus for factoring numbers are provided. The factoring may be accomplished by creating a factor graph, mapping the factor graph onto an analog processor, initializing the analog processor to an initial state, evolving the analog processor to a ...
02/24/2011
20110010409SYSTEM FOR CONJUGATE GRADIENT LINEAR ITERATIVE SOLVERS
A system for a conjugate gradient iterative linear solver that calculates the solution to a matrix equation comprises a plurality of gamma processing elements, a plurality of direction vector processing elements, a plurality of x-vector processing elements, an alpha pro...
01/13/2011
20110010410SYSTEM FOR CONVERGENCE EVALUATION FOR STATIONARY METHOD ITERATIVE LINEAR SOLVERS
A system for evaluating the convergence to a solution for a matrix equation comprises at least one reconfigurable computing device such as a field programmable gate array (FPGA), an update storage element, a conversion element, a summation unit, and a comparator. The FP...
01/13/2011
20100318593Method for Using a Graphics Processing Unit for Accelerated Iterative and Direct Solutions to Systems of Linear Equations
Methods for increasing the processing speed of computational electromagnetic methods, such as the Method of Moments (MoM), may involve using efficient mapping of algorithms onto a Graphics Processing Unit (GPU) architecture. Various methods may provide speed/complexity ...
12/16/2010
20100306290METHOD AND APPARATUS FOR SPATIO-TEMPORAL COMPRESSIVE SENSING
A method and apparatus for spatio-temporal compressive sensing, which allows accurate reconstruction of missing values in any digital information represented in matrix or tensor form, is disclosed. The method of embodiments comprises three main components: (i) a method ...
12/02/2010
20100299379Non-Negative Matrix Factorization as a Feature Selection Tool for Maximum Margin Classifiers
Non-negative matrix factorization, NMF, is combined with identification of a maximum margin classifier by minimizing a cost function that contains a generative component and the discriminative component. The relative weighting between the generative component and the di...
11/25/2010
20100287604IDENTIFICATION OF INTEGRATED CIRCUITS
Techniques are generally described for generating an identification number for an integrated circuit (IC). In some examples, methods for generating an identification of an IC may comprise selecting circuit elements of the IC, evaluating measurements of an attribute of t...
11/11/2010
20100281086EFFICIENT DECISION METHOD FOR REAL NON-LINEAR ARITHMETIC CONSTRAINTS
A system and method for solving a decision problem having Boolean combinations of linear and non-linear operations includes translating the non-linear real operations using a COordinate Rotation DIgital Computer (CORDIC) method programmed on a computer device into linea...
11/04/2010
20100268677APPROACH FOR SOLVING A CONSTRAINED OPTIMIZATION PROBLEM
Approaches for performing simulation optimization for solving a constrained optimization problem are generally disclosed. One embodiment according to the present disclosure is to formulate a Lagrange equation having incorporated a Lagrange parameter, a first long run av...
10/21/2010
20100262643COMPUTING MINIMAL POLYNOMIALS
Described is a technology, such as implemented in a computational software program, by which a minimal polynomial is efficiently determined for a radical expression over the ring Z of integer numbers or the ring Q of rational numbers. The levels of the radical are group...
10/14/2010
20100241678METHOD OF FINDING SOLUTION OF EQUATION AND RECORDING MEDIUM STORING PROGRAM FOR IMPLEMENTING THE SAME
The present invention relates to a solution-finding method, which finds an approximate solution of an equation having difficulty in obtaining an actual solution and a complicated equation in numerical analysis. The method obtains an approximate solution of an equation h...
09/23/2010
20100223313COMPUTATIONAL METHOD OF MATERIAL CONSTANT OF COMPOSITE MATERIAL AND VOLUME FRACTION OF MATERIAL COMPONENT IN COMPOSITE MATERIAL, AND RECORDING MEDIUM
The overall material constant of a composite material is computed where the composite material includes multiple kinds of material components in a matrix phase, each of the material constants of the material components and the matrix phase being known. First, for the co...
09/02/2010
20100217421Industrial Production Process and Production Tool
An industrial production method and corresponding production equipment is specified, wherein, for providing the resources and/or energy needed, a load variation y(t) with time is forecast in an automated manner starting with expected environmental and planned production...
08/26/2010
20100195821APPARATUS FOR CALCULATING A RESULT OF A SCALAR MULTIPLICATION
An apparatus for calculating a result of a scalar multiplication of a reference number with a reference point on an elliptic curve comprises a point selector and a processor. The point selector is configured to select randomly or pseudo-randomly an auxiliary point on th...
08/05/2010
20100169257TRANSPARENT PARALLELISM AMONG LINEAR SOLVERS
A model, which defines a mathematical problem, and multiple directives may be received. Each of the multiple directives may be mapped to a respective linear solver instance. The linear solver instances may be launched to execute in parallel. Each of the linear solver in...
07/01/2010
20100169403SYSTEM FOR MATRIX PARTITIONING IN LARGE-SCALE SPARSE MATRIX LINEAR SOLVERS
A system for solving large-scale matrix equations comprises a plurality of field programmable gate arrays (FPGAs), a plurality of memory elements, a plurality of memory element controllers, and a plurality of processing elements. The FPGAs may include a plurality of con...
07/01/2010
20100125440Method and Apparatus for Circuit Simulation
A method of preparing a circuit simulator, said method comprising initializing a normalized adjusted gate voltage value. Then performing the steps of determining a normalized adjusted gate voltage datum in dependence upon the initial normalized adjusted gate voltage val...
05/20/2010
20100123558METHOD FOR MEASURING SPEED OF VEHICLE USING RFID, RFID READER FOR MEASURING SPEED OF VEHICLE, AND SYSTEM FOR COLLECTING VEHICLE INFORMATION USING THE SAME
A technique for simultaneously acquiring vehicle identification information and speed information of an RFID tag-attached vehicle by calculating the vehicle speed by using a Doppler shift value extracted from transmission and reception signals between the RFID tag and t...
05/20/2010
20100114541ENUMERATED LINEAR PROGRAMMING FOR OPTIMAL STRATEGIES
One embodiment is directed to an approach to solving a leader-follower problem in which a leader has a set of leader actions and a follower has a set of follower actions. The approach includes receiving an expression of the leader-follower problem as a normal form Stack...
05/06/2010
20100106761Method, Apparatus, and Computer Program Product for Identifying Techniques for Solving Functions
An apparatus for identifying techniques for solving functions may include a processor. The processor may be configured to identify a function and identify candidate techniques for solving the function. The processor may also be configured to separate a domain of the fun...
04/29/2010
20100106762Computer apparatus and calculation method
Transmission overhead that takes a long period of time in calculating processes with an iterative solution technique is to be suppressed. After its own calculation result is calculated with the calculating processes, calculating processes are repeatedly executed without...
04/29/2010
20100061547METHOD OF AND APPARATUS FOR THE REDUCTION OF A POLYNOMIAL IN A BINARY FINITE FIELD, IN PARTICULAR IN THE CONTEXT OF A CRYPTOGRAPHIC APPLICATION
A method of reducing a first data word corresponding to a polynomial C(x) and having a length of a maximum of 2n−1 to a second data word of a length of a maximum m which in a binary finite field GF(2m) whose elements are of a maximum length m corresponds to...
03/11/2010
20100011041Device and method for determining signals
Many signal processing devices require the solution to a system of equations with a Toeplitz, or block Toeplitz, coefficient matrix. This solution can be obtained with increased efficiency by separating the initial system of equations into a number of systems of equatio...
01/14/2010
20100007357Electrical Impedance Tomography Method and Device
Electrical impedance tomography method comprising: an electrical measurement step during which pre-determined electrical conditions are imposed on the surface of a medium to be imaged, while generating a mechanical disturbance at predefined points of the medium by local...
01/14/2010
20100005130ITERATED VARIATIONAL REGULARIZATION COMBINED WITH COMPONENTWISE REGULARIZATION
The present invention relates to a solution for solving an ill-posed inverse problem in image analysis, e.g. in an electron tomography application in order to recover a structure of a sample. The solution is provided for instance as a method comprising steps of determin...
01/07/2010
20090328148METHOD OF TRUST MANAGEMENT IN WIRELESS SENSOR NETWORKS
The present invention relates to Group-based trust management scheme (GTMS) of wireless sensor networks. GTMS evaluates the trust of a group of sensor nodes in contrast to traditional trust management schemes that always focused on trust values of individual nodes. This...
12/31/2009
20090327387DIGITAL GENERATION OF AN ACCELERATED OR DECELERATED CHAOTIC NUMERICAL SEQUENCE
A method for generating an accelerated and/or decelerated chaotic sequence. The method involves selecting a plurality of polynomial equations constructed from an acc-dec variable v. The method also involves selecting a value for the acc-dec variable v for advancing or s...
12/31/2009
20090326880Parallel physics solver
A parallel physics solver may solve an equation to determine the characteristics of motion after a collision. In some embodiments, the physics solver solves the equation AX=B, where A is a sparse constrained matrix and B is the right hand vector. The sparse constrained ...
12/31/2009
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