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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 patents: 125
Last issue date: 04/26/2011


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NumberTitleIssue Date
7933944Combined fast multipole-QR compression technique for solving electrically small to large structures for broadband applications
An approach that efficiently solves for a desired parameter of a system or device that can include both electrically large fast multipole method (FMM) elements, and electrically small QR elements. The system or device is setup as an oct-tree structure that can inclu...
04/26/2011
7856466Information processing apparatus and method for solving simultaneous linear equations
First, calculations to solve a given set of simultaneous linear equations are performed using a conjugate gradient method and it is determined, each time the calculations are iterated, whether or not the calculations diverge. If it is determined that the calculation...
12/21/2010
7840626Methods for spectral image analysis by exploiting spatial simplicity
Several full-spectrum imaging techniques have been introduced in recent years that promise to provide rapid and comprehensive chemical characterization of complex samples. One of the remaining obstacles to adopting these techniques for routine use is the difficulty ...
11/23/2010
7725517Methods for spectral image analysis by exploiting spatial simplicity
Several full-spectrum imaging techniques have been introduced in recent years that promise to provide rapid and comprehensive chemical characterization of complex samples. One of the remaining obstacles to adopting these techniques for routine use is the difficulty ...
05/25/2010
7698356Smart evaluation in computer algebra
In a computing system, evaluating a mathematical expression in presented hierarchically according to the rules of precedence of operations, initial operations at the bottom of the hierarchy may yield values too large to be calculated conventionally, even if the ulti...
04/13/2010
7603402Solution program recording media for simultaneous linear equations having band coefficient matrix
The solution program causes a computer to execute step 1 for performing, in parallel, the LU decomposition on the column block comprising a plurality of columns and for storing the result in the working area; step 2 for canceling the row permutation on...
10/13/2009
7496619System and methods of nonuniform data sampling and data reconstruction in shift invariant and wavelet spaces
A system and methods for converting data for an object of interest, which is characterized by a function ƒ, between a digital form and an analog form. In one embodiment, the method includes the steps of locally selecting a plurality of data sample points in the ord...
02/24/2009
7472153Method for exploiting bias in factor analysis using constrained alternating least squares algorithms
Bias plays an important role in factor analysis and is often implicitly made use of, for example, to constrain solutions to factors that conform to physical reality. However, when components are collinear, a large range of solutions may exist that satisfy the basic ...
12/30/2008
7447724Error function calculation device and error function calculation method
An error function calculation device, which performs processing of calculating an error function FM(T) having T (positive real number) as a variable and M (M is an integer of 0 or more) as an order, includes a coefficient table and a calculation section. ...
11/04/2008
7366748Methods and apparatus for fast argument reduction in a computing system
There is disclosed method, software and apparatus for evaluating a function f in a computing device using a reduction, core approximation and final reconstruction stage. According to one embodiment of the invention, an argument reduction stage uses an approximate re...
04/29/2008
7363226Psychosomatic diagnosis system
A psychosomatic diagnosis system in which evaluation of the psychosomatic condition of a person to be diagnosed is performed automatically and objectively, based on the response by voice with respect to a question and the like asked to the person to be diagnosed. Th...
04/22/2008
7362844Tomography appliance, and method for a tomography appliance
A tomography appliance and method for a tomography appliance make it possible to calculate, in a simple and efficient manner, detector-element-related coefficients of an intensity function dependent on the detector output signal and to calculate the X-ray-emitter-re...
04/22/2008
7359929Fast solution of integral equations representing wave propagation
A technique for solving a set of wave equations in a region uses points arranged in a grid spanning the region or coefficients of wave expansion for objects located in the region. The grid points or the coefficients are partitioned into blocks on multiple levels, an...
04/15/2008
7353149Method and apparatus for simulating dynamic contact of objects
Contact of rigid bodies is simulated with friction. A contact point is determined as a mid point between closest points on each body. An integrated relative velocity (IRV) vector is computed, and is minimized by applying forces to both bodies. If the IRV value excee...
04/01/2008
7346593Autoregressive model learning device for time-series data and a device to detect outlier and change point using the same
For sequentially input data string, the outliner and the change point are detected through calculation of the outlier score and the change point score by combining a time-series model learning device to learn the generation mechanism of the read data series as the t...
03/18/2008
7343531Method for interleaving data frame and circuit thereof
A method, adapted to a 3GPP turbo coder, for interleaving a plurality of data of a data frame and a circuit thereof is provided. The present invention computes a value of Row Parameter according to the size of the data frame, computes an index for a table according ...
03/11/2008
7343530Turbo decoder and turbo interleaver
A processor on which a software-based interleaver is run performs interleaver generation, which is split into two parts to reduce the overhead time of interleaver changing. First, preprocessing prepares seed variables, requiring a small memory. Second, on-the-fly ad...
03/11/2008
7337265Organization of cache memory for hardware acceleration of the finite-difference time-domain method
Disclosed herein is an organization of cache memory for hardware acceleration of the FDTD method. The organization of cache memory for hardware acceleration of the FDTD method provides a substantial speedup to the finite-difference time-domain (FDTD) algorithm when ...
02/26/2008
7337437Compiler optimisation of source code by determination and utilization of the equivalence of algebraic expressions in the source code
A method, apparatus, and computer program product for determining, in a computer environment, the equivalence, if any, of two algebraic expressions. The expressions are recast into a form of one or more token pairs arranged sequentially in a string, such that each t...
02/26/2008
7318218System and method for processor thread for software debugging
A system and method for using a processor thread as a debugger is presented. A computer system boots up and initiates a debugger thread. The debugger thread loads a robust, debugger operating system and executes the debugger operating system. Once the debugger threa...
01/08/2008
7296047Method and apparatus for solving overdetermined systems of interval linear equations
One embodiment of the present invention provides a system that solves an overdetermined system of interval linear equations. During operation, the system receives a representation of the overdetermined system of interval linear equations Ax=b, wherein A is a matrix ...
11/13/2007
7277906Method for determining an output value having a lowest error value from an input value
The present invention teaches a method for generating an output value corresponding to an input value via a first function comprising a first section and a second section with the use of a lookup table, comprising: prestoring a plurality of first sampling points cor...
10/02/2007
7246111Capturing database system information
A system emulation tool and method provides a user interface having various options that are selectable by a user for exporting environment information from one or more target database systems. The user interface in one arrangement includes multiple screens that are...
07/17/2007
7236998System and method for solving a large system of dense linear equations
A method and system for solving a large system of dense linear equations using a system having a processing unit and one or more secondary processing units that can access a common memory for sharing data. A set of coefficients corresponding to a system of linear eq...
06/26/2007
7225196Data conversion method and computer system therefor
A data conversion job used for data conversion is separated into a data conversion server job for executing conversion processing on a data conversion server and a storage job for instructing a copy of a table on a storage device. Then, the storage job is executed t...
05/29/2007
7222145Method and apparatus for solving systems of equations in fixed-point form
One embodiment of the present invention provides a system for solving a system of equations in fixed-point form. During operation, the system receives a representation of the equations in fixed-point form and stores the representation a computer memory. Next, the sy...
05/22/2007
7219119Procedure for computing the Cholesky decomposition in a parallel multiprocessor system
The invention relates to a procedure for computing the Cholesky decomposition of a positive definite matrix into a product of a lower and an upper triagonal matrix having a dimension of L in a multi-channel procedure, wherein: the ...
05/15/2007
7219115Method for stable and accurate solution for an ill-conditioned system of normal equations associated with a prediction filter whose output is defined as a time advanced version of the input
A method for obtaining a stable and accurate solution for an ill-conditioned system of normal equations associated with digital Weiner filter for a time invariant system and/or an autoregressive operator of an autoregressive model. A time invariant stochastic model,...
05/15/2007
7174428Method and system for transforming memory location references in instructions
Embodiments of the present invention provide a method, apparatus and system for memory renaming. In one embodiment, a decode unit may decode a load instruction. If the load instruction is predicted to be memory renamed, the load instruction may have a predicted stor...
02/06/2007
7171435Circuits, systems, and methods implementing approximations for logarithm, inverse logarithm, and reciprocal
A digital signal system (30) for determining an approximate logarithm of a value of x having a base b is described. The system comprises circuitry for storing x as a digital representation, identifying a most significant digit (MSD) of the digital representat...
01/30/2007
7155420Boosted perceptron
In one embodiment, a system and method for solving linear programs includes a perceptron algorithm configured to move toward a solution to the linear program. A transform algorithm is configured to stretch portions of a vector space within which the linear program i...
12/26/2006
7152023System and method of accelerated active set search for quadratic programming in real-time model predictive control
An active set algorithm exploits a ‘hot start’ for the set of binding constraints at optimality along with efficient linear algebra to make rapid progress towards the solution. The linear algebra is designed to deal with degenerate constraints as the required fa...
12/19/2006
7146529System and method for processor thread acting as a system service processor
A system and method for a processor thread acting as a system service provider is presented. A computer system boots up and initiates a service thread. The service thread is responsible for service related tasks, such as ECC checks and hardware log error checks. The...
12/05/2006
7133888Method and programmable apparatus for quantum computing
A method and apparatus for quantum computing. A computer-program source code, data, and unsubstantiated output variables are converted into a class of computable functions by a program compiler. The computable functions are encoded, and a continualization method is ...
11/07/2006
7107300Circuits, systems, and methods implementing approximations for inverse logarithm
A digital signal system (50) determines an approximate antilog x from a value of ƒ(x), where x has a base b. ...
09/12/2006
7099851Applying term consistency to an equality constrained interval global optimization problem
One embodiment of the present invention provides a system that solves a global optimization problem specified by a function ƒ and a set of equality constraints q1(x)=0 (i=1, . . . , r), wherein ƒ is a scalar function of a vector x=(x1, x...
08/29/2006
7089159Method and apparatus for matrix reordering and electronic circuit simulation
A matrix reordering method performs reordering of elements of a coefficient matrix created based on coefficients of linear simultaneous equations whose solutions are to be produced by parallel processing of processors of a computer in accordance with Gaussian elimin...
08/08/2006
7089275Block-partitioned technique for solving a system of linear equations represented by a matrix with static and dynamic entries
One embodiment of the present invention provides a system that uses a block-partitioned technique to efficiently solve a system of linear equations. The system first receives a matrix that specifies the system of linear equations to be used in performing a time-base...
08/08/2006
7079145Method and program solving LCPs for rigid body dynamics
A projected iterative descent method is used to resolve LCPs related to rigid body dynamics, such that animation of the rigid body dynamics on a display system occur in real-time. ...
07/18/2006
7076516Efficient method of identifying non-solution or non-optimal regions of the domain of a function
A method of identifying one or more regions of the domain of a function that do not contain solutions is described along with a related subdivision method. These methods may be employed in the context of branch and bound methods that use interval analysis to search ...
07/11/2006
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