# MATLAB 中的定点矩阵运算

## 函数

 `ceilDiv` 将除法结果向正无穷方向舍入 (自 R2021a 起) `fixed.cordicDivide` Fixed-point divide using CORDIC (自 R2020b 起) `fixed.cordicReciprocal` Fixed-point reciprocal using CORDIC (自 R2021b 起) `fixDiv` 将除法的结果向零方向舍入 (自 R2021a 起) `floorDiv` 将除法结果向负无穷方向舍入 (自 R2021a 起) `nearestDiv` 将除法的结果向最接近的整数舍入 (自 R2021a 起) `modByConstant` Modulus after division by a constant denominator (自 R2021a 起)
 `fixed.backwardSubstitute` 通过后代求解上三角方程组 (自 R2020b 起) `fixed.forwardSubstitute` 通过前代求解下三角方程组 (自 R2020b 起) `fixed.jacobiSVD` Fixed-point Jacobi singular value decomposition (自 R2023a 起) `fixed.qlessQR` Q-less QR decomposition (自 R2020b 起) `fixed.qlessQRUpdate` Update QR factorization (自 R2020b 起) `fixed.qrAB` Compute C = Q'B and upper-triangular factor R (自 R2020b 起) `fixed.qrMatrixSolve` Solve system of linear equations Ax = B for x using QR decomposition (自 R2020b 起) `fixed.qlessQRMatrixSolve` Solve system of linear equations (A'A)X = B for X using Q-less QR decomposition (自 R2020b 起) `fixed.svd` Fixed-point Golub-Kahan-Reinsch singular value decomposition (自 R2022b 起) `svd` Fixed-point Golub-Kahan-Reinsch singular value decomposition (自 R2022b 起)
 `fixed.qrFixedpointTypes` Determine fixed-point types for transforming A and R and B to C=Q'B in-place, where QR=A is QR decomposition of A (自 R2021b 起) `fixed.qlessqrFixedpointTypes` Determine fixed-point types for transforming A to R in-place, where R is upper-triangular factor of QR decomposition of A, without computing Q (自 R2021b 起) `fixed.realQRMatrixSolveFixedpointTypes` Determine fixed-point types for matrix solution of real-valued AX=B using QR decomposition (自 R2021b 起) `fixed.complexQRMatrixSolveFixedpointTypes` Determine fixed-point types for matrix solution of complex-valued AX=B using QR decomposition (自 R2021b 起) `fixed.realQlessQRMatrixSolveFixedpointTypes` Determine fixed-point types for matrix solution of real-valued A'AX=B using QR decomposition (自 R2021b 起) `fixed.complexQlessQRMatrixSolveFixedpointTypes` Determine fixed-point types for matrix solution of complex-valued A'AX=B using QR decomposition (自 R2021b 起) `fixed.realSingularValueLowerBound` Estimate lower bound for smallest singular value of real-valued matrix (自 R2021b 起) `fixed.complexSingularValueLowerBound` Estimate lower bound for smallest singular value of complex-valued matrix (自 R2021b 起) `fixed.singularValueUpperBound` Upper bound of largest singular value of matrix (自 R2022b 起) `fixed.realConditionNumberUpperBound` Estimate of upper bound for 2-norm condition number of real-valued matrix (自 R2022b 起) `fixed.complexConditionNumberUpperBound` Estimate of upper bound for 2-norm condition number of complex-valued matrix (自 R2022b 起) `fixed.forgettingFactor` Compute forgetting factor required for streaming input data (自 R2021b 起) `fixed.forgettingFactorInverse` Compute the inverse of the forgetting factor required for streaming input data (自 R2021b 起) `fixed.realQuantizationNoiseStandardDeviation` Estimate standard deviation of quantization noise of real-valued signal (自 R2021b 起) `fixed.complexQuantizationNoiseStandardDeviation` Estimate standard deviation of quantization noise of complex-valued signal (自 R2021b 起)