. Since I do not use so often BLAS library for matrix-matrix multiplication, when I have to multiply two matrices with some rectangular shape or with additional operation I always get confused. Microprocessor-dependent optimizations in this product are intended for use with Intel microprocessors. specific to Intel microarchitecture are reserved for Intel microprocessors. Although Intel MKL supports Fortran 90 and later, the exercises in this tutorial use FORTRAN 77 for compatibility with as many versions of Fortran as possible. RETURN profile. DO10,I=1,LENY This call to the dgemm routine multiplies the matrices: The arguments provide options for how oneMKL performs the operation. #
/Samples/en-US/mkl/tutorials.zip (Linux* OS/OS X*). Following on the dgemm example, we now have this new C API/ABI: void cblas_dgemm(const enum CBLAS_ORDER Order, const enum CBLAS_TRANSPOSE TransA, const enum CBLAS . ALPHA = 1.0 LAPACK | Programming in Modern Fortran - DABAMOS.de Windows* OS: ifort /Qmkl src\dgemm_example.f; Linux* OS, macOS*: ifort -mkl src/dgemm_example.f; Alternatively, you can use the supplied build scripts to build and run the executables. #SvenHammarling,NagCentralOffice. This ebook covers tips for creating and managing workflows, security best practices and protection of intellectual property, Cloud vs. on-premise software solutions, CAD file management, compliance, and more. Join your peers on the Internet's largest technical engineering professional community.It's easy to join and it's free. # 70CONTINUE # Thread Safety 2.1.4. for a basic account. InthisversiontheelementsofAare END. DO40,I=1,LENY DO20,I=1,LENY Registration on or use of this site constitutes acceptance of our Privacy Policy. 1>Compiling with Intel Fortran Compiler 10.1.011 [IA-32]. Multiplying Matrices Using dgemm - UFRJ JX=JX+INCX #A-DOUBLEPRECISIONarrayofDIMENSION(LDA,n). Forgot your Intelusername 100CONTINUE Sign in here. GUID-36BFBCE9-EB0A-43B0-ADAF-2B65275726EA, Tutorial: Using the Intel oneAPI Math Kernel Library (oneMKL) for Matrix Multiplication, Introduction to the Intel oneAPI Math Kernel Library, Measuring Performance with oneMKL Support Functions, http://software.intel.com/en-us/articles/intel-mkl-link-line-advisor/, Intel oneAPI Math Kernel Library Knowledge Base, Click here for more Getting Started Tutorials. dgemm to compute the product of the matrices. WhenBETAis #Purpose Examine how the principles of DfAM upend many of the long-standing rules around manufacturability - allowing engineers and designers to place a parts function at the center of their design considerations. Save my name, email, and website in this browser for the next time I comment. Call LAPACK and BLAS Functions - MATLAB & Simulink - MathWorks dgemm example fortran - CDL Technical Motorcycle Driving School #Y.INCYmustnotbezero. In the case of this exercise the leading dimension is the same as the number of rows. IF(LSAME(TRANS,'N'))THEN SGEMM, DGEMM, CGEMM, and ZGEMM (Combined Matrix Multiplication and Addition for General Matrices, Their Transposes, or Conjugate Transposes) Edit online Purpose SGEMM and DGEMM can perform any one of the following combined matrix computations, using scalars and , matrices Aand Bor their transposes, and matrix C: A and > > * the performance increase to be had is marginal, given that we are mostly > > talking about code written in C or C++ without even compiler vectorization > > (-ftree-vectorize) turned on, > > I forget the details, but libxsmm is something that depends on an > instruction introduced with SSE3, and is a good example of portable > performance . #Onentry,TRANSspecifiestheoperationtobeperformedas #accessedsequentiallywithonepassthroughA. # Ask questions and share information with other developers who use Intel Math Kernel Library. I have the following Fortran code from https://software.intel.com/content/www/us/en/develop/documentation/mkl-tutorial-fortran/top/multiplying-matrices-using-dgemm.html, I am trying to use gfortran complile it (named as dgemm.f90), By gfortran -lblas -llapack dgemm.f90, I got, I searched that this type of question has been asked time to time, but I haven't found a solution for my case :(, I tried to use python load blas, based on https://software.intel.com/content/www/us/en/develop/articles/using-intel-mkl-in-your-python-programs.html. You may re-send via your PRINT *, "" The browser version you are using is not recommended for this site.Please consider upgrading to the latest version of your browser by clicking one of the following links. B. #containthematrixofcoefficients. information regarding the specific instruction sets covered by this notice. In the case of this exercise the leading dimension is the same as the number of rows. lapack - How do I use ScaLapack/PBLAS for Matrix-Vector Multiplication What is the point of Thrower's Bandolier? #suppliedaszerothenYneednotbesetoninput. ELSEIF(N<0)THEN // No product or component can be absolutely secure. # INFO=8 cran.microsoft.com Connect and share knowledge within a single location that is structured and easy to search. C. Leading dimension of array IY=KY DO30,I=1,LENY Go to: [ bottom of page] [ top of archives] [ this month] From: <pkg-fallout_at_FreeBSD.org> Date: Sun, 31 Oct 2021 06:48:50 UTC Sun, 31 Oct 2021 06:48:50 UTC Please read the documents on OpenBLAS wiki.. Binary Packages. JX=JX+INCX https://gcc.gnu.org/ml/gcc-patches/2016-08/msg00976.html Dont have an Intel account? This exercise demonstrates declaring variables, storing matrix values in the arrays, and calling An actual application would make use of the result of the matrix multiplication. Are you sure you want to create this branch? The following example takes two matrices and multiplies them by calling the BLAS routine dgemm. Because IM is a derived type, it isn't obvious what =, <, write do.n=0 may or . mkl [here] ifort -mkl dgemm_example.f ./ a.outlibmkl_intel_lp64.so # C(I,J) = 0.0 Note: The NVBLAS Makefile is hard-coded for Summit. OpenBLAS : An optimized BLAS library Thank you for spending some time to describe all of this out for folks. a.out on Linux* OS and OS X*. http://matrixprogramming.com/2008/01/matrixmultiply#Fortran. dgemm_example.exe on Windows* OS or # // Intel is committed to respecting human rights and avoiding complicity in human rights abuses. The complete details of capabilities of the dgemm routine and all of its arguments can be found in the ?gemm topic in the Intel Math Kernel Library Reference Manual. Optimizing Matrix Multiply (Summer 2002)--Due 6/25 orpassword? GW renormalization of the electron-phonon coupling. DO J = 1, N Y(I)=BETA*Y(I) 145 *> C is DOUBLE PRECISION array, dimension ( LDC, N ) 146 *> Before entry, the leading m by n part of the array C must. Discover how this hybrid manufacturing process enables on-demand mold fabrication to quickly produce small batches of thermoplastic parts. This is a great write-up. This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. #========== Y(IY)=BETA*Y(IY) LAPACK: dgemm - Netlib ENDIF Keeping this sequence of operations in mind, let's look at a CUDA Fortran example. Leading dimension of array #TRANS-CHARACTER*1. Please refer to the applicable product User and Reference Guides for more Processor: Ampere Altra ARMv8 Neoverse-N1 @ 3.30GHz (160 Cores), Motherboard: WIWYNN Mt.Jade (1.1.20201019 BIOS), Chipset: Ampere Computing LLC Device e100, Memor In this paper we will present a detailed study on tuning double-precision matrix-matrix multiplication (DGEMM) on the Intel Xeon E5-2680 CPU. #upthestartpointsinXandY. Procceeding to close the question. R News CHANGES IN R 3.4.1 INSTALLATION on a UNIX-ALIKE. # Copyright 1998-2023 engineering.com, Inc. All rights reserved.Unauthorized reproduction or linking forbidden without expressed written permission. Regarding your first comment, gfortran compiles most of the classic Fortran instructions (usually throws a warning that some stuff has been removed in modern versions, but it compiles). # A and IMPLICIT NONE #LDA-INTEGER. #Firstformy:=beta*y. JY=JY+INCY CALL DGEMM('N','N',M,N,K,ALPHA,A,M,B,K,BETA,C,M) \Samples\en-US\mkl\tutorials.zip (Windows* OS), or 147 *> contain the matrix C, except when beta is zero, in which. of Tennessee Onexit,Yisoverwrittenbythe dgemm.f - SourceForge This call to the KY=1-(LENY-1)*INCY In the case of this exercise the leading dimension is the same as the number of https://software.intel.com/content/www/us/en/develop/tools/oneapi/components/onemkl/link-line-advisor.html. . PRINT *, "subroutine" 30CONTINUE LENY=M ENDIF 90CONTINUE LENY=N PRINT *, "Top left corner of matrix B:" Solved: Batch DGEMM Fortran example? - Intel Communities TEMP=ALPHA*X(JX) Y(JY)=Y(JY)+ALPHA*TEMP SUBROUTINEDGEMV(TRANS,M,N,ALPHA,A,LDA,X,INCX, $! This assumes that you have installed Intel MKL and set environment variables as described in I am currently struggling a lot trying to compile the Fortran CUBLAS example (Fortran_Cuda_Blas.tgz) under Windows XP with Microsoft Visual Studio 2005 (using Intel Fortran Compiler). Why is this sentence from The Great Gatsby grammatical? TEMP=ZERO If you require any additional assistance from Intel, please start a new thread. Intel technologies may require enabled hardware, software or service activation. Namespace - Wikipedia Source module last modified on Thu, 2 Jul 1998, 23:17; Calculating probabilities from d6 dice pool (Degenesis rules for botches and triggers), ERROR: CREATE MATERIALIZED VIEW WITH DATA cannot be executed from a function. ENDIF Intel Math Kernel Library Reference Manual. Intels products and software are intended only to be used in applications that do not cause or contribute to a violation of an internationally recognized human right. Staging Ground Beta 1 Recap, and Reviewers needed for Beta 2, Undefined Reference, Error Linking Plplot with GFortran, DGEMM and Numerical Constants as Arguments, gfortran 4.8.1 on Windows 7 (undefined reference to 'WinMain@16'), gfortran LAPACK "undefined reference" error, Gfortran and Undefined reference to '__[module_name]_MOD_[function_name]', Compiling with gfortran: undefined reference to iargc_, gfortran links with MKL leads to 'Intel MKL ERROR: Parameter 10 was incorrect on entry to DGEMM', Theoretically Correct vs Practical Notation. Did you find the information on this page useful? After compiling and linking, execute the resulting executable file, named dgemm_example.exe on Windows* OS or a.out on Linux* OS and macOS*. " I cannot find the reference manual for Fortran. Thank you for helping keep Eng-Tips Forums free from inappropriate posts.The Eng-Tips staff will check this out and take appropriate action. General Description 2.1.1. oneMKL provides several routines for multiplying matrices. In the LAPACK library, matrix factorization functions are implemented with blocked factorization algorithm, shifting . of California Berkeley, Univ. Test-suite-opencl-001 Benchmarks - OpenBenchmarking.org Intrinsic matmul vs. LAPACK - Google Groups Can you please let us know if your issue has been resolved. 2.1Examples 2.2Delegation 2.3Hierarchy 2.4Namespace versus scope 3In programming languages 3.1Computer-science considerations 3.1.1Use in common languages 3.1.1.1C 3.1.1.2C++ 3.1.1.3Java 3.1.1.4C# 3.1.1.5Python 3.1.1.6XML namespace 3.1.1.7PHP 3.2Emulating namespaces 4See also 5References Toggle the table of contents Namespace 32 languages Based on the test case posted here. Multiplying Matrices Using dgemm Multiplying Matrices Using dgemm - Intel Parallelism with Streams 2.1.7. #.. IF(X(JX)!=ZERO)THEN TEMP=ALPHA*X(JX) links: PTS, VCS area: non-free; in suites: bookworm, sid; size: 73,432 kB; sloc: ansic: 164,656; cpp: 16,273; perl: 6,471; pascal: 5,406 . DO I = 1, K IF(BETA!=ONE)THEN Effective Implementation of DGEMM on Modern Multicore CPU # IF(! # Learn how your comment data is processed. Intel MKL provides several routines for multiplying matrices. # Still, it is a functional example of using one of the available CUDA runtime libraries. Any further interaction in this thread will be considered community only. rev2023.3.3.43278. Required fields are marked *. IY=IY+INCY The arrays are used to store these matrices: The one-dimensional arrays in the exercises store the matrices by placing the elements of each column in successive cells of the arrays. Sign in here. In the case of this exercise the leading dimension is the same as the number of Fortran does things differently, storing elements of a matrix in column-major order. Visible to Intel only PRINT *, "" An Optimized Framework for Matrix Factorization on the New Sunway Many Static Library Support 2.1.10. For example, you can perform this operation with the transpose or conjugate transpose of A and B. #Mmustbeatleastzero. Close this window and log in. PARAMETER (M=2000, K=200, N=1000) functionality, or effectiveness of any optimization on microprocessors not Why are physically impossible and logically impossible concepts considered separate in terms of probability? # Learn more about bidirectional Unicode characters, Allocate (a(lda,n), vr(ldvr,n), wi(n), wr(n)). END DO #.. Short story taking place on a toroidal planet or moon involving flying. Y(IY)=Y(IY)+TEMP*A(I,J) EXTERNALXERBLA https://software.intel.com/content/www/us/en/develop/documentation/onemkl-developer-reference-fortra You can find the examples in oneAPI/mkl/latest/examples folder and extract the examples_core_f.zip. 80CONTINUE ELSE #TRANS='T'or't'y:=alpha*A'*x+beta*y. 2) Now a more complex case A(N,M), B(M,N) and C(N,N) with M=5 and N=3 as in the figure, we can also multiply B for A and get a 55 matrix as result. ELSE The most widely used is the dgemm routine, which calculates the product of double precision matrices: The dgemm routine can perform several calculations. Cannot retrieve contributors at this time. // See our complete legal Notices and Disclaimers. Do you work for Intel? Parameters Author Univ. Only show results matching title/arguments (delimit multiple options with a comma): // Performance varies by use, configuration and other factors. # C, or the number of elements between successive INFO=2 Leading dimension of array C, or the number of elements between successive columns (for column major storage) in memory. #ALPHA-DOUBLEPRECISION. Bulk update symbol size units from mm to map units in rule-based symbology, Replacing broken pins/legs on a DIP IC package, Recovering from a blunder I made while emailing a professor. columns (for column major storage) in memory. # # // No product or component can be absolutely secure. ELSEIF(INCY==0)THEN DO90,I=1,M // Your costs and results may vary. INTRINSICMAX DGEMM Purpose: DGEMM performs one of the matrix-matrix operations C := alpha*op ( A )*op ( B ) + beta*C, where op ( X ) is one of op ( X ) = X or op ( X ) = X**T, alpha and beta are scalars, and A, B and C are matrices, with op ( A ) an m by k matrix, op ( B ) a k by n matrix and C an m by n matrix. Although oneMKL supports Fortran 90 and later, the exercises in this tutorial use FORTRAN 77 for compatibility with as many versions of Fortran as possible. B, or the number of elements between successive Integers indicating the size of the matrices: Real value used to scale the product of matrices A and B. Already a Member? ELSE # You can easily search the entire Intel.com site in several ways. DO100,J=1,N Class Dgemm java.lang.Object org.netlib.blas.Dgemm public class Dgemm extends java.lang.Object Following is the description from the original Fortran source. T = transpose op(A) = AT Is it plausible for constructed languages to be used to affect thought and control or mold people towards desired outcomes? # Use dgemm to Multiply Matrices Leading dimension of array A, or the number of elements between successive columns (for column major storage) in memory. dgemm example fortran licking county mayor - nammakarkhane.com // See our complete legal Notices and Disclaimers. OpenMP application experiences: Porting to accelerated nodes [Fortran]Multiplying Matrices Using dgemm - Fortran - Eng-Tips IX=KX nm -S libmwblas.lib | grep dgemm 0000000000000000 I __imp_dgemm 0000000000000000 T dgemm nm -S libdmumps.a | grep dgemm U dgemm_ For other compilers, use the Intel MKL Link Line Advisor to generate a command line to compile and link the exercises in this tutorial: #BeforeentrywithBETAnon-zero,theincrementedarrayY You can call LAPACK and BLAS functions from Fortran MEX files. #DGEMVperformsoneofthematrix-vectoroperations #Unchangedonexit. Leading dimension of array Thanks for contributing an answer to Stack Overflow! An Easy Introduction to CUDA Fortran | NVIDIA Technical Blog microprocessors. Table 1 shows the running times, observed on a DEC Alpha 7000 Model 660 Super Scalar machine, of the following routines: the BLAS routine \dgemm" which performs matrix mul- tiplication; the LAPACK routines \dpotrf" and \dpbtrf" [1] which perform the Cholesky decomposition on dense and tridiagonal matrices, respectively; the private routine . LAPACK_Examples/dgeev_example.f90 at master - GitHub These optimizations include SSE2, SSE3, and SSSE3 instruction sets and other optimizations. Can airtags be tracked from an iMac desktop, with no iPhone? How to prove that the supernatural or paranormal doesn't exist? Re: Fedora 32 System-Wide Change proposal: x86-64 micro-architecture update BETA = 0.0 tutorials.zip file, the Fortran source code can be found in the DO J = 1, N Refer to the reference manual for additional documentation. IF(X(JX)!=ZERO)THEN Dgemm - University of Tennessee ENDIF In the case of this exercise the leading dimension is the same as the number of Promoting, selling, recruiting, coursework and thesis posting is forbidden. LENX=N Intel MKL provides many options for creating code for multiple processors and operating systems, compatible with different compilers and third-party libraries, and with different interfaces. ELSE #wherealphaandbetaarescalars,xandyarevectorsandAisan Batching Kernels 2.1.8. GUID: #Onentry,MspecifiesthenumberofrowsofthematrixA. The most widely used is the [package - 130arm64-quarterly][biology/treekin] Failed for treekin-0.5. cblas_dgemm is a BLAS function that gives C. . A simple guide to s/d/c/z-gemm in Fortran. Visit Stack Exchange Tour Start here for quick overview the site Help Center Detailed answers. Click Here to join Eng-Tips and talk with other members! For example, for the class which represents multiplication subroutines, there are attributes to de-termine which specific multiplication subroutine to be called, attributes to pass the multiplication coefficient, attributes to determine how to reorder the indices in the multiplication component quantities, etc. $((ALPHA==ZERO)&&(BETA==ONE))) #Unchangedonexit. Sorry, you must verify to complete this action. I have written a simple program: [code] program matrix implicit none double pre in this case because all the matrices are squared all the indexes remain the same. Execute one or more kernels. ?gemm topic in the Certain optimizations not specific to Intel microarchitecture are reserved for Intel microprocessors. Because BLAS is written in Fortran . # GUID-36BFBCE9-EB0A-43B0-ADAF-2B65275726EA. Sorry, you must verify to complete this action. dgemm routine multiplies the matrices: The arguments provide options for how Intel MKL performs the operation. ENDIF END DO dgemm routine, which calculates the product of double precision matrices: The Ask questions and share information with other developers who use Intel Math Kernel Library. #TRANS='C'or'c'y:=alpha*A'*x+beta*y. ELSEIF(M<0)THEN #..ExecutableStatements.. ENDIF Compiling Fortran CUBLAS example - NVIDIA Developer Forums Multiplying Matrices Using dgemm - Intel To learn more, see our tips on writing great answers. PRINT *, "Initializing data for matrix multiplication C=A*B for " Wikizero - FLOPS There are three directories: cublas nvblas mkl These contain Makefiles and examples of calling DGEMM from an OpenMP offload region with cuBLAS, NVBLAS, and MKL. EXTERNALLSAME The nature of simulating nature: A Q&A with IBM Quantum researcher Dr. Jamie We've added a "Necessary cookies only" option to the cookie consent popup. Windows* OS: build build run_dgemm_example; Linux* OS, macOS*: make make run_dgemm_example; For the executables in this tutorial, the build scripts are named: #--Writtenon22-October-1986. #Parameters PRINT *, "scalars" # This exercise illustrates how to call the http://software.intel.com/en-us/articles/intel-mkl-link-line-advisor/. For more complete information about compiler optimizations, see our Optimization Notice. The deprecated support for PCRE versions older than 8.20 has been removed. Is there any example for Fortran about batch DGEMM? vienna-rna 2.5.1%2Bdfsg-1. 110CONTINUE 20 FORMAT(6(F12.0,1x)) gfortran has host_data support now, so I wanted to test DGEMM from cuBLAS. rows. Integers indicating the size of the matrices: Real value used to scale the product of matrices #.. In this case: Character indicating that the matrices A and B should not be transposed or conjugate transposed before multiplication. test-suite-opencl-001. The complete details of capabilities of the Can anyone post a sample FORTRAN code for dgemm JIT API like this one posted for C: https://software.intel.com/content/www/us/en/develop/articles/intel-math-kernel-library-improved-sma you may find out such examples ( e.x -mkl_jit_create_cgemmx.f90 ) into mklroot/example folder. END DO #inthecalling(sub)program. After compiling and linking, execute the resulting executable file, named # LOGICALLSAME DO60,J=1,N Leading dimension of array B, or the number of elements between successive columns (for column major storage) in memory. By joining you are opting in to receive e-mail. . # #Onentry,ALPHAspecifiesthescalaralpha. ENDIF #(1+(n-1)*abs(INCX))whenTRANS='N'or'n' PRINT *, "" ENDIF #include "fintrf.h" subroutine mexFunction (nlhs, plhs, nrhs, prhs) mwPointer plhs (*), prhs (*) integer . The above code works. # Intels products and software are intended only to be used in applications that do not cause or contribute to a violation of an internationally recognized human right. #Unchangedonexit. Sample 2 This program contains a C++ invocation of the Fortran BLAS function dgemm_ provided by the ATLAS framework. It is available in Intel MKL 11.3 Beta and later releases. [package - 130amd64-quarterly][biology/treekin] Failed for treekin-0.5.1_3 in build. Done. PRINT *, "Computing matrix product using Intel(R) MKL DGEMM " Not the answer you're looking for? The Fortran source code for the exercises in this tutorial For each array argument, the Java version will include an integer offset parameter, so Contact seymour@cs.utk.eduwith any questions. END, This exercise illustrates how to call the, CALL DGEMM('N','N',M,N,K,ALPHA,A,M,B,K,BETA,C,M). IF(INCX==1)THEN and I want to store ther result in C(N,N), where LDA=LDB=LDC=N and TRANSA(B) can be an operation on the matrix A(B), N = use the A matrix as it is PRINT 20, ((A(I,J), J = 1,MIN(K,6)), I = 1,MIN(M,6)) #Nmustbeatleastzero. # I have linked my code with the library "cublas.lib" but I still obtain this : ". Refer to the reference manual for additional documentation. #Beforeentry,theincrementedarrayXmustcontainthe For more complete information about compiler optimizations, see our Optimization Notice. DOUBLE PRECISION A(M,K), B(K,N), C(M,N) Sometimes it is confusing knowing what is a low-level BLAS. DO I = 1, M IY=KY To compile and link the exercises in this tutorial with Intel Parallel Studio XE Composer Edition, type. ELSE Please click the verification link in your email. # Many Git commands accept both tag and branch names, so creating this branch may cause unexpected behavior. IF(INCY>0)THEN Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this site // Your costs and results may vary. LSAME(TRANS,'T')&& IX=IX+INCX Transfer data from the host to the device. IF(BETA==ZERO)THEN mkl_mmx_c directory. #(1+(m-1)*abs(INCX))otherwise. A simple guide to s/d/c/z-gemm in Fortran * * The underscore at the end of the routine name is there so that the routine* * may be called as an integer valued FORTRAN function name RESUSE(), under * * both the SunOS and Ultrix f77 compilers. Intel's compilers may or may not optimize to the same degree for non-Intel microprocessors for optimizations that are not unique to Intel microprocessors. # LAPACK routines have to be imported individually using the are intended for use with Intel microprocessors. Is there any example for Fortran about batch DGEMM? manufactured by Intel. 2023-02-26-0032 Benchmarks - OpenBenchmarking.org LSAME(TRANS,'N')&& Basic Linear Algebra Subprograms (BLAS) is a specification that prescribes a set of low-level routines for performing common linear algebra operations such as vector addition, scalar multiplication, dot products, linear combinations, and matrix multiplication.They are the de facto standard low-level routines for linear algebra libraries; the routines have bindings for both C ("CBLAS interface . INFO=6 #Testtheinputparameters. Intel MKL provides several routines for multiplying matrices. * * Purpose * ======= * A tag already exists with the provided branch name. > * the performance increase to be had is marginal, given that we are mostly > talking about code written in C or C++ without even compiler vectorization > (-ftree-vectorize) turned on, I forget the details, but libxsmm is something that depends on an instruction introduced with SSE3, and is a good example of portable performance engineering . #Formy:=alpha*A'*x+y. WordPress_Wordpress_Subdomain - You can also try the quick links below to see results for most popular searches.
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