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8805912 
Ordering generating method and storage medium, and shared memory scalar parallel computer
When a Cholesky decomposition or a modified Cholesky decomposition is performed on a sparse symmetric positive definite matrix using a shared memory parallel computer, the discrete space in a...


8805910 
System and method for generating discretetime model (DTM) of continuoustime model (CTM) for a dynamical system
Method and apparatus for processing continuoustime models (CTM) in a digital processing architecture is disclosed. The discrete statespace technique maps the CTM into the discretetime model...


8805911 
Cholesky decomposition in an integrated circuit device
Efficient and scalable circuitry for performing Cholesky decomposition is based on two types of processing elements. A first type of processing element provides inverse square root and...


8788559 
Identification 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 for an IC may comprise...


8775147 
Algorithm and architecture for multiargument associative operations that minimizes the number of components using a latency of the components
An algorithm and architecture are disclosed for performing multiargument associative operations. The algorithm and architecture can be used to schedule operations on multiple facilities for...


8762442 
Fast iterative method for processing hamiltonjacobi equations
A system and method are provided for a parallel processing of the HamiltonJacobi equation. A numerical method is provided to solve the HamiltonJacobi equation that can be used with various...


8719303 
Method for enhancing the computation of CSS and accuracy of computing hardware and to promote the computation speed
This invention proposed a new algorithm. By multiply the proposed weight coefficients of this invention, CSP and CSS can be computed without computing for the mean(s) of the data. After the...


8711146 
Method and apparatuses for solving weighted planar graphs
Methods and apparatuses for constructing a multilevel solver, comprising decomposing a graph into a plurality of pieces, wherein each of the pieces has a plurality of edges and a plurality of...


8700686 
Robust estimation of time varying parameters
A computerimplemented method for estimating a timevarying parameter of a nonlinear system includes receiving input data for the nonlinear system, the input data including a desired state and a...


8682950 
Computerimplemented symbolic polynomial factorization
An input polynomial, in symbolic form, is received, classified, preprocessed, and factored. The input polynomial is classified as a constant, a univariate polynomial, or a multivariate polynomial....


8649508 
System and method for implementing elliptic curve scalar multiplication in cryptography
A system and method for implementing the Elliptic Curve scalar multiplication method in cryptography, where the Double Base Number System is expressed in decreasing order of exponents and further...


8626815 
Configuring a programmable integrated circuit device to perform matrix multiplication
In a matrix multiplication in which each element of the resultant matrix is the dot product of a row of a first matrix and a column of a second matrix, each row and column can be broken into...


8620982 
Identification 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...


8583719 
Method and apparatus for arithmetic operation by simultaneous linear equations of sparse symmetric positive definite matrix
An arithmetic operation apparatus includes: a branch node set detection unit to detect a set of branch nodes for each parallel level; a subtree memory storage area allocation unit to allocate an...


8583720 
Reconfigurable 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...


8577947 
Method of finding solution of equation and recording medium storing program for implementing the same
The present invention relates to a solutionfinding method, which finds an approximate solution of an equation having difficulty in obtaining an actual solution and a complicated equation in...


8577949 
System 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...


8554421 
Dynamics control
A vehicle having a dynamics control system, the vehicle comprising: a first set comprising multiple adjustable subsystems that affect the performance of the vehicle's powertrain; a second set...


8543626 
Method and apparatus for QRfactorizing matrix on a multiprocessor system
A method and apparatus for QRfactorizing matrix on a multiprocessor system, wherein the multiprocessor system comprises at least one core processor and a plurality of accelerators, comprises the...


8539013 
Efficient decision method for real nonlinear arithmetic constraints
A system and method for solving a decision problem having Boolean combinations of linear and nonlinear operations includes translating the nonlinear real operations using a COordinate Rotation...


8539014 
Solving 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...


8527569 
Parallel processing method of tridiagonalization of real symmetric matrix for shared memory scalar parallel computer
When a real symmetric matrix is tridiagonalized using a shared memory scalar parallel computer, the matrix is divided into threads to be updated. In the updating, the data of the lower triangular...


8527571 
Method and structure for producing high performance linear algebra routines using composite blocking based on L1 cache size
A method (and structure) for performing a matrix subroutine, includes storing data for a matrix subroutine call in a computer memory in an increment block size that is based on a cache size.


8516029 
Methods and apparatuses for solving graph Laplacians
Methods and apparatuses for solving a system on a symmetric diagonally dominant matrix. The method includes constructing an equivalent symmetric diagonally dominant linear system Ax=b from the...


8495120 
Method 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...


8468189 
Iterated variational regularization combined with componentwise regularization
The present invention relates to a solution for solving an illposed inverse problem in image analysis, e.g. in an electron tomography application in order to recover a structure of a sample. The...


8443034 
Input vector selection for reducing current leakage in integrated circuits
Techniques are generally described for selecting input vectors that reduce or minimize leakage current for a plurality of integrated circuits (ICs) with the same design, but that differ due to...


8417754 
Identification 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...


8417755 
Systems and methods for reducing memory traffic and power consumption in a processing environment by solving a system of linear equations
A system and methods for reducing memory traffic and power consumption when solving systems of linear equations. Certain embodiments provide several aspects for improved performance in solving a...


8412757 
Nonnegative matrix factorization as a feature selection tool for maximum margin classifiers
Nonnegative 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...


8406334 
Overflow resistant, fixed precision, bit optimized systolic array for QR decomposition and MIMO decoding
In one embodiment, a circuit for matrix decomposition is provided. The circuit includes an input circuit for receiving a first matrix. A permutation circuit is coupled to the input circuit and...


8407269 
System and method to compute narrow bounds on a modal interval spherical projection
A computer executable method of processing a representation of a modal interval spherical projection is provided. A representation of a vector comprised of modal intervals X, Y, and Z is provided...


8407272 
Exploitation of topological categorization of chaotic and fractal functions, including field line calculations
A topological categorization method, based on inclusive intervals, provides a general method of analyzing escape topologies for discrete dynamic systems, in complex and higher dimensions, including...


8402076 
Exploitation of topological categorization of chaotic and fractal functions, including field line calculations
A topological categorization method, based on inclusive intervals, provides a general method of analyzing escape topologies for discrete dynamic systems, in complex and higher dimensions, including...


8401038 
False lock detection for physical layer frame synchronization
Systems, devices, processors, and methods are described which may be used for the reception of a wireless broadband signal at a user terminal from a gateway via a satellite. A wireless signal may...


8380776 
Computational 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...


8332185 
Method and system for calculating elementary symmetric functions of subsets of a set
A method and system that calculate elementary symmetric functions of subsets of a set {Z} comprising a total of m numerical elements in an m2 timeframe. In one embodiment the method comprises:...


8314793 
Implied analytical reasoning and computation
Solving for output variable(s) of a model that includes multiple analytically related model variables. The identity of the output model variables and the analytical relationships between the model...


8296350 
Method and apparatus for QRfactorizing matrix on multiprocessor system
The present invention provides a method and apparatus for QRfactorizing matrix on a multiprocessor system, wherein the multiprocessor system comprises at least one core processor and a plurality...


8290145 
Transition between masked representations of a value during cryptographic calculations
In a method for the transition from a first masked representation of a value to be kept secret to a second masked representation of the value, according to a first aspect of the invention at least...


8266197 
Method for factor analysis of GC/MS data
The method of the present invention provides a fast, robust, and automated multivariate statistical analysis of gas chromatography/mass spectroscopy (GC/MS) data sets. The method can involve...


8255447 
Eigenvalue decomposition apparatus and eigenvalue decomposition method
The present invention provides an eigenvalue decomposition apparatus that can perform processing in parallel at high speed and high accuracy. The eigenvalue decomposition apparatus comprises a...


8204925 
Controlling or analyzing a process by solving a system of linear equations in realtime
System and method for controlling/analyzing a process by solving a system of linear equations in realtime. Linear equations that model the process are stored. In an offline stage a partitioning...


8200732 
Apparatus and method for calculating and visualizing targets
A computerreadable medium includes executable instructions to define a target value, define an achievement boundary range, define specific values for the achievement boundary range, and combine...


8195731 
System, method, and computer program product for determining at least one root of an ndimensional function utilizing triangulation
A system, method, and computer program product are provided for determining at least one root of an ndimensional function, utilizing triangulation. In operation, an ndimensional function is...


8195733 
Systolic array
Disclosed is a onedimensional MFA systolic array for matrix computation using an MFA (modified Faddeeva algorithm), in which downward square MFA array processing and upward square MFA array...


8195726 
Systems, devices, and methods for solving computational problems
Systems, devices, and methods for using an analog processor to solve computational problems. A digital processor is configured to track computational problem processing requests received from a...


8189728 
Jitter measurement
A specialized structure measures clocktodata jitter in an optical memory interface by averaging the result of two secondorder estimates of zero crossing using measured signal values on either...


8176108 
Method, apparatus and computer program product for network design and analysis
A first representation of an electrical network includes a first set of simultaneous linear algebraic equations (SLAE's). A second representation of an electrical network includes a second set of...


8166090 
Tiled architecture for stationarymethod iterative linear solvers
A system for solving linear equations comprises a first circuit including a first multiplication module for multiplying a first row of a matrix by a first instance of a vector variable to generate...
