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When the matrix size of Strassen matrix multiplication is not the form of 2^k, is the time complexity better than the naïve algorithm?

Tag: greater than the use of str greater than or equal to log good other complexity timeIt turns out to be N, to find a number m greater than or equal to N and 2^k form.The matrix of the n*n is the matrix of the M*m, the original matrix is placed at the top left, and the value of the other positions is 0.Naïve method: N^3Now: m^2.8That is, m/n needs to be less th

HDU 5171 (Fast power of matrix) __ Matrix fast Power

10000007). Sample Input 3 2 3 6 2 Sample Output 35 Source Bestcoder Round #29 The following:It's about asking you to ask for the first n items of the Fibonacci sequence. Analysis:Sn=sn-1+fn,fn=fn-1+fn-2, the first n items are obtained by the fast power of the matrix, and the transfer matrix is: [Sn-1 fn-1 fn-2]* [...] = NBSP;[SN Fn F N-1], the middle one is the 3*3

Determines whether a matrix of any size is a unit matrix

"C and Pointers" chapter 8th programming exercises 4th:Modify the Identity_matrix function in the previous question, which can be extended to an array to accept arbitrary-sized matrix parameters. The 1th parameter of the function should be an integer pointer, and you need a 2nd parameter to specify the size of the matrix.1 /*2 * * Determine if a matrix is a unit

How to verify whether the matrix of a non-square matrix is reversible

How can we prove whether the matrix of a non-square matrix is reversible? It is generally used to define the inverse matrix of the square matrix and to study whether the square matrix is reversible or inverse; For non-square arrays, such as C (m x N) and M = N, the produc

(Daily algorithm) LeetCode -- Set Matrix Zeroes (Matrix Set to zero)

(Daily algorithm) LeetCode -- Set Matrix Zeroes (Matrix Set to zero) Given a matrix, if there is a zero element, the row and column of the zero element are set to zero. Given a m x n matrix, if an element is 0, set its entire row and column to 0. Do it in place. The most intuitive solution is to create a new

A brief talk on compression perception (14): MATLAB implementation of Fourier matrix and wavelet transform matrix

Main content: Fourier matrix and its MATLAB implementation wavelet transform Matrix and its MATLAB implementation Fourier matrix and its MATLAB implementationDefinition of the Fourier matrix: (Source: http://mathworld.wolfram.com/FourierMatrix.html)The MATLAB implementation of the Fourier

"Data structure" sparse structure and sparse matrix compression storage, the matrix transpose

In the matrix, there is a kind of very important matrix, that is-----sparse matrix.The so-called sparse matrix, that is, in the matrix, the number of valid data is far less than the number of invalid data (and these data are not ordered in order). Let's start with an example of a sparse

N*m Matrix: Set Matrix zeroes

Problem descriptionThere is a matrix of N * M, where the element is 0, and if it is 0, then the row and the column are set to 0. Space complexity required for O (1)Problem analysisAt first glance this problem is really simple, there is not too much algorithm content.If there is an O (M + N) space, then all of the columns and rows containing 0 can be stored. Then set the 0 individually.Now the requirement is to use the space complexity of O (1), what s

09: matrix multiplication, 09: Matrix Multiplication

09: matrix multiplication, 09: Matrix Multiplication09: Matrix Multiplication View Submit Statistics Question Total time limit: 1000 ms Memory limit: 65536kB Description Calculate the multiplication of two matrices. N * m-level matrix A multiplied by m * k-level

Learning Log---matrix representation and special matrix compression

Matrix class: Two-dimensional array implementation!!Each row is considered a one-dimensional array, which can be put into several sets;Random numbers can be produced, and the maximum value in parentheses is used.Matrix class: publicclassmymatrix{int[][]matrix;//Matrix array Randomrandom =newrandom () ;//random Number object//default construction method, generate

Opencv matrix operations (3), opencv matrix operations

Opencv matrix operations (3), opencv matrix operationsIntroduction This article undertakes the previous article and continues to use matrix computing functions under opencv.Specific Code for Matrix Replication printf("mat1:\n"); showMatdate(mat1); mat3 = Mat(3, 3, CV_64FC1); src3 = mat3; cvRepeat(src1,

HDU Multi-school 9th HDU 4965Fast matrix calculation "matrix operations + Math Trivia"

difficulty,,, indeed,,, was not difficult to The problem is that there is an optimization of the matrix operation The title is to give a n*k matrix A to a k*n matrix B (1 Equivalent ababababababab...= (AB) ^ (n*n) As A (BA) ^ (n*n-1) B K is relatively small because BA is k*k by the matrix. #include

Covariance Matrix, correlation coefficient matrix

Variable description: Set to a group of random variables that constitute a random vector. , Each random variable has m samples, then there is a sample Matrix (1) Medium Corresponding to the sample vector of every random vector X, It corresponds to the vector consisting of all the sample values of the random single variable I. Covariance between single random variables: Random Variable

HDU 4965 fast matrix calculation matrix fast power

Link: http://acm.hdu.edu.cn/showproblem.php? PID = 1, 4965 Question: a matrix of N * K, a matrix of K * n, B (4 Idea: Like the previous matrix multiplication, it is impossible to directly multiply a very large matrix without the help of small rules (currently, even the strassen ma

ACM learning process-hdu5015 233 matrix (matrix Rapid power) (2014 Shaanxi online competition)

DescriptionIn our daily life we often use 233 to express our feelings. actually, we may say 2333,233 33, or 233333... in the same meaning. and here is the question: Suppose we have a matrix called 233 matrix. in the first line, it wocould be 233,233 3, 23333... (It means a 233 = 2333, A 23333 =, A = ...) besides, in 233 matrix, we got a I, j = A I-1, J + a I, J-1

Determines whether a 10*10 matrix is a unit matrix

"C and Pointers" chapter 8th programming Exercises 3rd:1 /*2 * * Determine if a 10*10 matrix is a unit matrix3 */4 5#include 6 #defineROW 107 #defineCOL 108 9 /*Ten * * Function accepts a matrix of 10*10 One * * Determine if it is a unit matrix A * * return value: - * * is the unit matrix, returns 1 - * * Not a unit

March 31 Tuesday Classroom Exercise: Pair development----to find a matrix of two-dimensional matrices the maximum value of the neutron matrix two

First, the topic requirements1.1 Enter a two-dimensional shaping array with positive numbers in the array and a negative number. 1.2 Two-dimensional arrays end-to-end, like one end-to-end tape. 1.3 contiguous one or more integers in an array make up a sub-array, each of which has a and. 1.4 The maximum value of the and of all sub-arrays is evaluated.Requires a time complexity of O (n). Two, the pair requires 2.1 pair to complete the programming task. 2.2 One person is primarily responsible for p

"Leetcode-Interview algorithm classic-java Implementation" "074-search a 2D matrix (search two-dimensional matrix)"

"074-search a 2D matrix (search for two-dimensional matrices)""leetcode-Interview algorithm classic-java Implementation" "All topics Directory Index"Original QuestionWrite an efficient algorithm, searches for a value in a m x n matrix. This matrix has the following properties:Integers in each row is sorted from the left to the right.The first integer of each row

[Matrix calculation] Lanczos method: Finding sparse matrix eigenvalues

Updated: 2016 JULIt is known from the QR method that most of the eigenvalues of Matrix $a$ need to be tri-diagonalization first (see Xu Xiaofang's textbook for detailed methods.) An example of an outer chain here), i.e.$$ T=q^taq $$That is, finding the orthogonal matrix $q$ makes the $t$ a three-diagonal matrix. However, if the $a$ is a large sparse

Transform matrix in Flex & flash (transformation matrix)

"Transformation matrix" uses "affine transformations affine transformation" properties: The "affinine transform" refers to the coordinate point that changes the relative distance in the space while the coordinate points are in the same line (surface. This means that the plane of the coordinate point does not change, and the original parallel straight line is still parallel, but the distance between the coordinate point and the coordinate point may cha

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