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What is the definition of a block matrix?
A block matrix (also called partitioned matrix) is a matrix of the kind where , , and are matrices, called blocks, such that: 1 and have the same number of rows; 2 and have the same number of rows; 3 and have the same number of columns; 4 and have the same number of columns. More
Can a block matrix be carried out as a scalar?
An important fact about block matrices is that their multiplication can be carried out as if their blocks were scalars, by using the standard rule for matrix multiplication: The only caveat is that all the blocks involved in a multiplication (e.g., , , ) must be conformable.
How are the number of blocks per grid determined?
The number of blocks per grid is then determined by the problem size, such as the matrix dimensions in the case of matrix multiplication. Choosing the number of threads per block is very complicated. Most CUDA algorithms admit a large range of possibilities, and the choice is based on what makes the kernel run most efficiently.
What kind of matrix has the same number of rows?
A block matrix (also called partitioned matrix) is a matrix of the kind where,, and are matrices, called blocks, such that: and have the same number of rows; and have the same number of rows; and have the same number of columns;
Is there a special form of matrix transpose for block matrices?
A special form of matrix transpose can also be defined for block matrices, where individual blocks are reordered but not transposed.
What kind of matrix is a block Toeplitz matrix?
Block Toeplitz matrices A block Toeplitz matrix is another special block matrix, which contains blocks that are repeated down the diagonals of the matrix, as a Toeplitz matrix has elements repeated down the diagonal. The individual block matrix elements, Aij, must also be a Toeplitz matrix. A block Toeplitz matrix A has the form
What is the syntax for the conditional operator?
The syntax for the conditional operator is as follows: The condition expression must evaluate to true or false. If condition evaluates to true, the consequent expression is evaluated, and its result becomes the result of the operation.
Which is the correct syntax for conditional ref?
The syntax for the conditional ref expression is as follows: Like the original conditional operator, the conditional ref expression evaluates only one of the two expressions: either consequent or alternative. In the case of the conditional ref expression, the type of consequent and alternative must be the same.
Which is the simplest conditional statement in MATLAB?
The simplest conditional statement is an if statement. For example: % Generate a random number a = randi (100, 1); % If it is even, divide by 2 if rem (a, 2) == 0 disp (‘a is even’) b = a/2; end if statements can include alternate choices, using the optional keywords elseif or else . For example: